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Order Online Yellow Sale 2013 | English Titles

Sale prices valid until July 31, 2013 | 1

P. Abramenko, University of Virginia, Charlottesville, VA, USA; K. S. Brown, Cornell University, Ithaca, NY, USA

BuildingsTheory and Applications

Covering all three approaches to Jacques Tits‘s beautiful theory of buildings, this accessible vol-ume is suitable as a textbook introduction to the subject as well as a self-study text for researchers. It contains numerous exercises.

Softcover reprint of hardcover 1st ed. 2008. XXII, 754 p. 100 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 248) SoftcoverISBN 978-1-4419-2701-97 € 46,95 | £42.997 * € (D) 50,24 | € (A) 51,65 | sFr 73,00

Yellow Sale Price7 € 24,99 | £22.997 * € (D) 26,74 | € (A) 27,49 | sFr 33,50

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M. Adams, University of Georgia, Athens, GA, USA; V. Guillemin, MIT, Cambridge, MA, USA

Measure Theory and Probability„…the text is user friendly to the topics it consid-ers and should be very accessible…Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for profession-als and students.“—The Journal of the American Statistical Association

1996. 228 p. (The Wadsworth & Brooks/Cole Mathematics Series) HardcoverISBN 978-0-8176-3884-97 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


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A. Adem, University of Wisconsin, Madison, WI, USA; R. J. Milgram, Stanford University, Stanford, CA, USA

Cohomology of Finite GroupsThe cohomology of groups has been the stage for significant interaction between algebra and topology, leading to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups. The 2nd edition contains many more cohomology calculations for the sporadic groups, obtained by the authors and their collabora-tors over the past decade. Chapter III on group cohomology and invariant theory has been revised and expanded. New references arising from recent developments in the field have been added, and the index substantially enlarged.

Softcover reprint of hardcover 2nd ed. 2004. VIII, 324 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 309) SoftcoverISBN 978-3-642-05785-47 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


9<HTOGPC=afhife>M. Aigner, Freie Universität Berlin, Germany

A Course in EnumerationCombinatorial enumeration is a readily acces-sible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to advanced topics, ranging from algebra to statistical physics.

Softcover reprint of hardcover 1st ed. 2007. X, 565 p. 55 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 238) SoftcoverISBN 978-3-642-07253-67 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 101,00


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M. Akhmet, Middle East Technical University, Ankara, Turkey

Nonlinear Hybrid Continuous/Discrete-Time ModelsThis book examines the author‘s recently-introduced theory of equations with piece-wise constant argument of generalized type, demon-strating its use in the modeling of such real world problems as neural networks, blood pressure distribution and others.

2011. XIV, 217 p. 23 illus., 19 in color. (Atlantis Studies in Mathematics for Engineering and Science, Volume 8) HardcoverISBN 978-94-91216-02-27 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


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S. Albeverio, University of Bonn, Germany; R. Fan, Texas A&M University, College Station, TX, USA; F. S. Herzberg, Bielefeld University, Germany

Hyperfinite Dirichlet Forms and Stochastic ProcessesThis monograph covers the theory of Dirich-let forms. It examines the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes and summarizes the model-theoretic genericity of hyperfinite stochas-tic processes theory.

2011. XIV, 284 p. 1 illus. in color. (Lecture Notes of the Unione Matematica Italiana, Volume 10) SoftcoverISBN 978-3-642-19658-47 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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www.springer.com/978-1-4419-2701-9






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A. Alexandrov

Convex PolyhedraTransl. Russian: N. Dairbekov, S. S. Kutateladze, A. Sossinsky

Convex Polyhedra is one of the classics in geom-etry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness. It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron, e.g. the lengths of edges, areas of faces, etc.

Softcover reprint of hardcover 1st ed. 2005. XII, 542 p. 165 illus. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-06215-57 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


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E. Allen, Texas Tech University, TX, USA

Modeling with Itô Stochastic Differential EquationsDynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly vary-ing system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. This modeling pro-cedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, physics, engineering, and finance.

Softcover reprint of hardcover 1st ed. 2007. XII, 230 p. Book (Paperback Initiative). (Mathematical Modelling: Theory and Applications, Volume 22) SoftcoverISBN 978-90-481-7487-47 € 94,95 | £85.507 * € (D) 101,60 | € (A) 104,45 | sFr 126,50


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K. T. Alligood, T. D. Sauer, George Mason University, Fairfax, VA, USA; J. A. Yorke, University of Maryland, College Park, MD, USA

ChaosAn Introduction to Dynamical Systems

Developed and class-tested by a distinguished team of authors at two universities, this text is in-tended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, inclu-ding discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences.

1st ed. 1997. Corr. 3rd printing 2000. XVIII, 604 p. 303 illus., 25 in color. (Textbooks in Mathematical Sciences) SoftcoverISBN 978-0-387-94677-17 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


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L. Ambrosio, N. Gigli, Scuola Normale Superiore, Pisa, Italy; G. Savaré, University of Pavia, Italy

Gradient FlowsIn Metric Spaces and in the Space of Probability Measures

This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with a natural linear or differentiable structure. The book originates from lectures by L. Ambrosio at the ETH Zürich in Fall 2001 and contains new results.

2nd ed. 2008. VII, 334 p. (Lectures in Mathematics. ETH Zürich (closed)) SoftcoverISBN 978-3-7643-8721-17 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 66,50


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H. Ammari, Ecole Polytechnique, Palaiseau, France; H. Kang, Seoul National University, Seoul, Korea

Polarization and Moment TensorsWith Applications to Inverse Problems and Effective Medium Theory

This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of compos-ite materials. The methods involved come from various areas of pure and applied mathematics, such as potential theory, PDEs, complex analysis, and numerical methods. The unifying thread in this book is the use of generalized polarization and moment tensors. The main approach is based on modern layer potential techniques.

Softcover reprint of hardcover 1st ed. 2007. X, 312 p. 25 illus. Book (Paperback Initiative). (Applied Mathematical Sciences, Volume 162) SoftcoverISBN 978-1-4419-2449-07 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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F. W. Anderson, University of Oregon, Eugene, OR, USA; K. R. Fuller, University of Iowa, Iowa City, IA, USA

Rings and Categories of ModulesThis book is intended to provide a self-contained account of much of the theory of rings and modules. The theme of the text throughout is the relationship between the one-sided ideal structure a ring may possess and the behavior of its categories of modules. Following a brief outline of the foundations, the book begins with the basic definitions and properties of rings, modules and homomorphisms.

2nd ed. 1992. X, 392 p. (Graduate Texts in Mathematics, Volume 13) HardcoverISBN 978-0-387-97845-17 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 109,00


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S. Anita, University `Al.I. Cuza‘ Iasi, and Institute of Mathematics, Romanian Academy, Iasi, Romania

Analysis and Control of Age-Dependent Population DynamicsThis volume is devoted to some of the most bio-logically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some com-parison results are also established. In the optimal control problems the emphasis is on first order nec-essary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem.

Softcover reprint of hardcover 1st ed. 2000. 212 p. Book (Paperback Initiative). (Mathematical Modelling: Theory and Applications, Volume 11) SoftcoverISBN 978-90-481-5590-37 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 173,00


9<HTUAPI=bffjad>T. M. Apostol, California Institute of Technology, Pasadena, CA, USA

Introduction to Analytic Number TheoryThis introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five chapters treat elementary concepts such as divis-ibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet‘s theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions.

Softcover reprint of hardcover 1st ed. 1976. 338 p. 24 illus. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2805-47 € 52,95 | £46.997 * € (D) 56,66 | € (A) 58,25 | sFr 80,50


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V. Araújo, Universidade do Porto and Instituto de Matemática, UFRJ, Brazil; M. J. Pacifico, Universidade Federal do Rio de Janeiro, Brazil

Three-Dimensional FlowsPreface by: M. Viana, IMPA, Rio de Janeiro, Brazil

Offering the first comprehensive treatment of this subject in book form, this volume presents the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits.

2010. XIX, 355 p. 16 illus. in color. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 53) HardcoverISBN 978-3-642-11413-77 € 159,95 | £144.007 * € (D) 171,15 | € (A) 175,95 | sFr 213,00


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E. Arbarello, M. Cornalba, P. A. Griffiths, J. D. Harris

Geometry of Algebraic CurvesVolume I

This comprehensive and self-contained account of the extrinsic geometry of algebraic curves applies the theory of linear series to a number of classical topics, including the geometry of the Reimann theta divisor, as well as to contemporary research.

Softcover reprint of hardcover 1st ed. 1985. XVI, 388 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 267) SoftcoverISBN 978-1-4419-2825-27 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 149,50


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M. Arkowitz, Dartmouth College, Hanover, NH, USA

Introduction to Homotopy TheoryThis is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as fol-lows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, in-cluding those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.

2011. XIII, 344 p. 333 illus. (Universitext) SoftcoverISBN 978-1-4419-7328-37 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


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L. Arnold, University of Bremen, Germany

Random Dynamical SystemsThis book is the first systematic presentation of the theory of dynamical systems under the influence of randomness. It includes products of random mappings as well as random and stochastic differ-ential equations. The basic mulitplicative ergodic theorem is presented and provides a random substitute for linear algebra. On its basis random invariant manifolds are constructed, systems are simplified by smooth random coordinate transformations (random normal forms), and qualitative changes in families of random systems (random bifurcation theory) are studied. Numer-ous instructive examples are treated analytically or numerically.

Softcover reprint of hardcover 1st ed. 1998. XVI, 586 p. 40 illus. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08355-67 € 99,95 | £79.007 * € (D) 106,95 | € (A) 109,95 | sFr 166,00


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W. Arveson, University of California at Berkeley, CA, USA

A Short Course on Spectral TheoryThis book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spect-ra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classi-fication of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

Softcover reprint of the original 1st ed. 2002. XI, 135 p. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 209) SoftcoverISBN 978-1-4419-2943-37 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


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S. Asmussen, Aarhus University, Aarhus, Denmark; P. W. Glynn, Stanford University, Stanford, CA, USA

Stochastic Simulation: Algorithms and AnalysisThis book provides a broad treatment of sam-pling-based computational methods, as well as accompanying mathematical analysis of the convergence properties of the methods discussed. General methods and model-specific algorithms are discussed.

Softcover reprint of hardcover 1st ed. 2007. XIV, 482 p. 45 illus., 1 in color. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 57) SoftcoverISBN 978-1-4419-2146-87 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


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F. M. Atay, MPI Leipzig, Germany (Ed)

Complex Time-Delay SystemsTheory and Applications

The goal of this book is to present the state-of-the-art in research on time-delay dynamics in the framework of complex systems. The chapters are authored by renowned experts and cover both theory and applications in a wide range of fields.

2010. XII, 326 p. 21 illus. in color. (Understanding Complex Systems) HardcoverISBN 978-3-642-02328-67 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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G. Aubert, Université de Nice Sophia-Antipolis, Nice, France; P. Kornprobst, INRIA, Sophia Antipolis, France

Mathematical Problems in Image ProcessingPartial Differential Equations and the Calculus of Variations

The 2nd edition presents image analysis applica-tions, outlines their precise mathematics and shows how to discretize them. It reviews progress in image processing applications covered by the PDE framework, and updates the existing mate-rial. Also provides programming tools for creating simulations.

Softcover reprint of hardcover 2nd ed. 2006. XXXII, 377 p. 100 illus. Book (Paperback Initiative). (Applied Mathematical Sciences, Volume 147) SoftcoverISBN 978-1-4419-2182-67 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 84,00


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J.‑P. Aubin, Universite Paris-Dauphine, Paris, France

Optima and EquilibriaAn Introduction to Nonlinear Analysis

Transl. French: S. Wilson

This book offers a self-contained, rigorous and concise review of the mathematical tools needed to study optima and equilibria, as solutions to problems in economics, management sciences, operations research, cooperative and non-cooper-ative games and more.

Softcover reprint of hardcover 2nd ed. 1998. XVIII, 434 p. 28 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 140) SoftcoverISBN 978-3-642-08446-17 € 64,95 | £51.997 * € (D) 69,50 | € (A) 71,45 | sFr 108,00


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V. Arnold, Russian Academy of Sciences, Moscow, Russia

Mathematical Methods of Classical MechanicsTransl. Russian: K. Vogtmann, A. Weinstein

In this text, the author constructs the math-ematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks.

Softcover reprint of hardcover 2nd ed. 1989. XVI, 520 p. 269 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 60) SoftcoverISBN 978-1-4419-3087-37 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 88,00


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C. Aull, Virginia Polytechnic Institute and State University, Blacksburg, USA; R. Lowen, University of Antwerp, Belgium (Eds)

Handbook of the History of General TopologyThis volume mainly focuses on various compre-hensive topological theories, with the exception of a paper on combinatorial topology versus point-set topology by I.M. James and a paper on the history of the normal Moore space problem by P. Nyikos. The history of the following theories is given: pointfree topology, locale and frame theory (P. Johnstone), non-symmetric distances in topol-ogy (H.-P. Künzi), categorical topology and topo-logical constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Mardesic and J. Segal).

2001. 414 p. Book (Paperback Initiative). (History of Topology (closed), Volume 3) SoftcoverISBN 978-90-481-5704-47 € 169,95 | £153.007 * € (D) 181,85 | € (A) 186,95 | sFr 226,50


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F. Baccelli, P. Bremaud, Ecole Normale Supérieure, Paris, France

Elements of Queueing TheoryPalm Martingale Calculus and Stochastic Recurrences

Presenting the mathematical foundations of the theory of stationary queuing systems, the Palm theory and the Loynes theory, this extensively revised second edition adds substantial material - mainly exercises and their solutions - to a classic reference.

Softcover reprint of hardcover 2nd ed. 2003. XIV, 334 p. 24 illus. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 26) SoftcoverISBN 978-3-642-08537-67 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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K. Back, Texas A&M University, College Station, TX, USA

A Course in Derivative SecuritiesIntroduction to Theory and Computation

This book aims at a middle ground between the introductory books on derivative securities and those that provide advanced mathematical treat-ments. It is written for mathematically capable students who have not necessarily had prior exposure to probability theory, stochastic calculus, or computer programming.

Softcover reprint of hardcover 1st ed. 2005. XV, 355 p. Book (Paperback Initiative). (Springer Finance / Springer Finance Textbooks) SoftcoverISBN 978-3-642-06474-67 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 93,50


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J. Bak, City College of New York, NY, USA; D. J. Newman

Complex AnalysisAccessible to students at their early stages of mathematical study, this full first year course in complex analysis offers new and interesting moti-vations for classical results and introduces related topics stressing motivation and technique. Numer-ous illustrations, examples, and now 300 exercises, enrich the text. Students who master this textbook will emerge with an excellent grounding in com-plex analysis, and a solid understanding of its wide applicability.

3rd ed. 2010. XII, 328 p. (Undergraduate Texts in Mathematics) HardcoverISBN 978-1-4419-7287-37 € 59,95 | £49.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,50


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M. Banagl, D. Vogel, University of Heidelberg, Germany (Eds)

The Mathematics of KnotsTheory and Application

This book offers up-to-date original research and survey articles on actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. The contents arise from the Heidelberg Knot Theory Semester of winter 2008-09.

2011. X, 358 p. (Contributions in Mathematical and Computational Sciences, Volume 1) HardcoverISBN 978-3-642-15636-67 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 158,00


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A. Banyaga, The Pennsylvania State University, University Park, PA, USA; D. Hurtubise, The Pennsylvania State University, Altoona, PA, USA

Lectures on Morse HomologyThis book presents in great detail all the results one needs to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. Most of these results can be found scattered throughout the literature dating from the mid to late 1900‘s in some form or other, but often the results are proved in different con-texts with a multitude of different notations and different goals. This book collects all these results together into a single reference with complete and detailed proofs.

Softcover reprint of hardcover 1st ed. 2004. IX, 326 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 29) SoftcoverISBN 978-90-481-6705-07 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 109,00


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I. Bárány, Alfred Rényi Institute, Budapest, Hungary; J. Solymosi, University of British Columbia, Vancouver, BC, Canada (Eds)

An Irregular MindSzemerédi is 70

Endre Szemerédi‘s influence on today‘s math-ematics, especially in combinatorics, additive number theory, and theoretical computer science, is enormous. This volume is a celebration of his achievements and personality, on the occasion of his 70th birthday.

2010. X, 740 p. 49 illus. (Bolyai Society Mathematical Studies, Volume 21) HardcoverISBN 978-3-642-14443-17 € 159,95 | £144.007 * € (D) 171,15 | € (A) 175,94 | sFr 229,50


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A. Barlotti, Università di Firenze, Italy (Ed)

Matroid Theory and Its ApplicationsLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24 ‑ September 2, 1980

Lectures: T.H. Brylawski: The Tutte polynomial.- D.J.A. Welsh: Matroids and combinatorial opti-misation.- Seminars: M. Barnabei, A. Brini, G.-C. Rota: Un’introduzione alla teoria delle funzioni di Möbius.- A. Brini: Some remarks on the critical problem.- J. Oxley: On 3-connected matroids and graphs.- R. Peele: The poset of subpartitions and Cayley’s formula for the complexity of a complete graph.- A. Recski: Engineering applications of matroids.

Originally published by C.I.M.E., Ed. Liguori, Napoli & Birkhäuser, 2011. 424 p. (C.I.M.E. Summer Schools (closed), Volume 83) SoftcoverISBN 978-3-642-11109-97 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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A. F. Beardon, University of Cambridge, UK

The Geometry of Discrete GroupsThis text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius trans-formations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of hyperbolic space and are then identified with the elementary transformations of complex analysis. A detailed account of analytic hyperbolic trigonometry is given, and this forms the basis of the subsequent analysis of tesselations of the hyperbolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations.

1st ed. 1983. Corr. 2nd printing 1995 1983. XII, 356 p. (Graduate Texts in Mathematics, Volume 91) HardcoverISBN 978-0-387-90788-87 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00


9<HTLDTH=jahiii>A. F. Beardon, University of Cambridge, UK

Iteration of Rational FunctionsComplex Analytic Dynamical Systems

This book makes available a comprehensive, de-tailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The material covered extends from the original memoirs of Fatou and Julia to the recent and important results and methods of Sullivan and Shishikura. Many of the details of the proofs have not occurred in print before. The theory of of dynamical systems and chaos has recently undergone a rapid growth in popularity, in part due to the spectacular computer graphics of Julia sets, fractals, and the Mandelbrot set.

Softcover reprint of the original 1st ed. 1991. XVI, 280 p. 1 illus. (Graduate Texts in Mathematics, Volume 132) SoftcoverISBN 978-0-387-95151-57 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


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A. F. Beardon, University of Cambridge, UK

LimitsA New Approach to Real Analysis

Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differen-tiation, and integration, together with worked examples and exercises. By unifying and simp-lifying all the various notions of limit, the author has successfully presented a novel approach to the subject matter, which has not previously appeared in book form. The author defines the term limit once only, and all of the subsequent limiting processes are seen to be special cases of this one definition. Accordingly, the subject matter attains a unity and coherence that is not to be found in the traditional approach.

1997. IX, 204 p. 2 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98274-87 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00


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R. Benedetti, University of Pisa, Italy; C. Petronio, Pisa, Italy

Lectures on Hyperbolic GeometryFocussing on the geometry of hyperbolic mani-folds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete, detailed and unified as possible. Following some classical material on the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow‘s rigidity theorem (including a comple-te proof, following Gromov and Thurston) and Margulis‘ lemma.

1st ed. 1992. 2nd printing 2003 1992. XIV, 330 p. (Universitext) SoftcoverISBN 978-3-540-55534-67 € 39,95 | £34.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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M. Berger, Bures-sur-Yvette, France; B. Gostiaux, Le Perreux, France

Differential Geometry: Manifolds, Curves, and SurfacesManifolds, Curves, and Surfaces

Transl. French: S. Levy, Princeton University, Princeton, NJ, USA

This book is an introduction to modern differen-tial geometry. The authors begin with the neces-sary tools from analysis and topology, including Sard‘s theorem, de Rham cohomology, calculus on manifolds, and a degree theory. The general theory is illustrated and expanded using the examples of curves and surfaces.

1988. XII, 474 p. (Graduate Texts in Mathematics, Volume 115) HardcoverISBN 978-0-387-96626-77 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 107,50


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M. Berger, Bures-sur-Yvette, France

Geometry ITransl. French: M. Cole, S. Levy

The first part of a two-volume text providing a readable and lively presentation of large parts of geometry in the classical sense, this book appeals systematically to the reader‘s intuition and vision, and illustrates the mathematical text with many figures.

1st ed. 1987. Corr. 4th printing 2009 1987. XIV, 432 p. 426 illus. (Universitext) SoftcoverISBN 978-3-540-11658-57 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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M. Berger, Institute des Hautes Etudes Scientifiques, Bures-sur-Yvette, France

Geometry IITransl. French: M. Cole, S. Levy

This is the second part of the 2-volume textbook Geometry which provides a very readable and lively presentation of large parts of geometry in the classical sense. An attractive characteristic of the book is that it appeals systematically to the reader‘s intuition and vision, and illustrates the mathematical text with many figures. For each topic the author presents a theorem that is estheti-cally pleasing and easily stated - although the proof of the same theorem may be quite hard and concealed. Many open problems and references to modern literature are given.

1st ed. 1987. Corr. 4th printing 2009 1987. X, 406 p. 364 illus. (Universitext) SoftcoverISBN 978-3-540-17015-07 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


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N. Berline, École Polytechnique, Palaiseau, France; E. Getzler, Northwestern University, Evanston, IL, USA; M. Vergne, École Polytechnique, Palaiseau, France

Heat Kernels and Dirac OperatorsIn the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geome-tric construction of the heat kernel of a genera-lized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.

2004. X, 364 p. (Grundlehren Text Editions) SoftcoverISBN 978-3-540-20062-87 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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A. Bialynicki‑Birula, University of Warsaw, Poland; J. Carrell, The University of British Columbia, Vancouver, BC, Canada; W. McGovern, University of Washington, Seattle, WA, USA

Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint ActionThis is the second volume of the new subseries „Invariant Theory and Algebraic Transformation Groups“. The aim of the survey by A. Bialynicki-Birula is to present the main trends and achieve-ments of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applica-tions to problems of moduli theory. The contribu-tion by J.

2002. V, 242 p. (Encyclopaedia of Mathematical Sciences, Volume 131) HardcoverISBN 978-3-540-43211-17 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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T. R. Bielecki, Northeastern Illinois University, Chicago, IL, USA; M. Rutkowski, Warsaw University of Technology, Warsaw, Poland

Credit Risk: Modeling, Valuation and HedgingThe main objective of Credit Risk: Modeling, Valuation and Hedging is to present a comprehen-sive survey of the past developments in the area of credit risk research, as well as to put forth the most recent advancements in this field. An impor-tant aspect of this text is that it attempts to bridge the gap between the mathematical theory of credit risk and the financial practice, which serves as the motivation for the mathematical modeling studied in the book.

Softcover reprint of hardcover 1st ed. 2004. XVIII, 500 p. Book (Paperback Initiative). (Springer Finance) SoftcoverISBN 978-3-642-08707-37 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


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N. H. Bingham, University of Sheffield, UK; R. Kiesel, University of Ulm, Germany

Risk-Neutral ValuationPricing and Hedging of Financial Derivatives

This second edition - completely up to date with new exercises - provides a comprehensive and self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its application to the pricing and hedging of financial derivatives. On the probabilistic side, both discre-te- and continuous-time stochastic processes are treated, with special emphasis on martingale the-ory, stochastic integration and change-of-measure techniques.

Softcover reprint of hardcover 2nd ed. 2004. XVIII, 437 p. 8 illus. Book (Paperback Initiative). (Springer Finance / Springer Finance Textbooks) SoftcoverISBN 978-1-84996-873-77 € 66,95 | £60.997 * € (D) 71,64 | € (A) 73,65 | sFr 96,00


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J. R. Birge, University of Chicago, Booth School of Business, Chicago, IL, USA; F. Louveaux, University of Namur, Namur, Belgium

Introduction to Stochastic ProgrammingIn an extensively updated new edition, this book teaches stochastic programming, with new ap-proaches for discrete variables, new results on risk measures in modeling and Monte Carlo sampling methods, a new chapter on relationships to other methods and more.

2nd ed. 2011. XXV, 485 p. 44 illus. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-1-4614-0236-77 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


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C. Birkenhake, H. Lange, Universität Erlangen-Nürnberg, Erlangen, Germany

Complex Abelian VarietiesThe subject of this book is the theory of abelian varieties over the field of complex numbers. It covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric proper-ties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results on Jacobians and Prym vari-eties allow applications to the theory of algebraic curves.

Softcover reprint of hardcover 2nd ed. 2004. XII, 640 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 302) SoftcoverISBN 978-3-642-05807-37 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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M. S. Birman, St. Petersburg State University, Russia; M. Solomjak, Dept. of Mathematics, Leningrad University, Russia

Spectral Theory of Self-Adjoint Operators in Hilbert Space1987. XVI, 302 p. (Mathematics and its Applications, Volume 5) HardcoverISBN 978-90-277-2179-27 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 146,50


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J.‑E. Björk, Stockholm University, Dept. of Mathematics, Sweden

Analytic D-Modules and ApplicationsThis is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds.

Softcover reprint of hardcover 1st ed. 1993. 600 p. Book (Paperback Initiative). (Mathematics and Its Applications (closed), Volume 247) SoftcoverISBN 978-90-481-4238-57 € 102,95 | £93.007 * € (D) 110,16 | € (A) 113,25 | sFr 137,50


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B. Blackadar, University of Nevada, Reno, NV, USA

Operator AlgebrasTheory of C*‑Algebras and von Neumann Algebras

This book is the most comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, classification of injective factors, K-theo-ry, finiteness, stable rank, and quasidiagonality.

Softcover reprint of hardcover 1st ed. 2006. XX, 528 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 122) SoftcoverISBN 978-3-642-06673-37 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 173,00


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J. Bochnak, Vrije Universiteit, Amsterdam, The Netherlands; M. Coste, M.‑F. Roy, Universite de Rennes 1, France

Real Algebraic GeometryThis book is a systematic treatment of real alge-braic geometry, a subject that has strong interrela-tion with other areas of mathematics: singularity theory, differential topology, quadratic forms, commutative algebra, model theory, complexity theory etc. The careful and clearly written ac-count covers both basic concepts and up-to-date research topics. It may be used as text for a gradu-ate course. The present edition is a substantially revised and expanded English version of the book „Géometrie algébrique réelle“ originally published in French, in 1987, as Volume 12 of ERGEBNISSE.

Softcover reprint of hardcover 1st ed. 1998. X, 430 p. Book (Paperback Initiative). (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 36) SoftcoverISBN 978-3-642-08429-47 € 149,95 | £118.507 * € (D) 160,45 | € (A) 164,95 | sFr 249,00


9<HTOGPC=aiecje>C. Bonatti, University of Bourgogne, Dijon, France; L. J. Díaz, PUC-Rio, Rio de Janeiro, Brazil; M. Viana, IMPA, Rio de Janeiro, Brazil

Dynamics Beyond Uniform HyperbolicityA Global Geometric and Probabilistic Perspective

The notion of uniform hyperbolicity, intro-duced by Steve Smale in the early sixties, unified important developments and led to a remarkably successful theory for a large class of systems: uniformly hyperbolic systems often exhibit complicated evolution which, nevertheless, is now rather well understood, both geometrically and statistically.

2005. XVIII, 384 p. 25 illus. (Encyclopaedia of Mathematical Sciences, Volume 102) SoftcoverISBN 978-3-540-22066-47 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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A. Bondy, Université Claude-Bernard Lyon, France; U. Murty, University of Waterloo, ON, Canada

Graph TheoryThis book is not just a simple revision of the au-thors‘ well-known introductory textbook „Graph Theory with Applications“ but a brand new up-to-date treatment of the theory of graphs. Its primary aim is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic study of graph theory without sacrificing its intuitive and aesthetic appeal. Com-monly used proof techniques are described and illustrated and a wealth of exercises are provided. A second objective is to serve as an introduction to research in graph theory.

2008. XII, 654 p. 235 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 244) SoftcoverISBN 978-1-84996-690-07 € 54,95 | £46.007 * € (D) 58,80 | € (A) 60,45 | sFr 85,50


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C. d. Boor, University of Wisconsin, Madison, WI, USA; K. Höllig, University of Stuttgart, FRG; S. Riemenschneider, University of Alberta, Edmonton, Alta., Canada

Box SplinesThis book on box splines is the first book giving a complete development for any kind of multivari-ate spline. Box splines give rise to an intriguing and beautiful mathematical theory that is much richer and more intricate than the univariate case because of the complexity of smoothly join-ing polynomial pieces on polyhedral cells. The purpose of this book is to provide the basic facts about box splines in a cohesive way with simple, complete proofs, many illustrations, and with an up-to-date bibliography.

Softcover reprint of hardcover 1st ed. 1993. XVII, 200 p. 57 illus. Book (Paperback Initiative). (Applied Mathematical Sciences, Volume 98) SoftcoverISBN 978-1-4419-2834-47 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00


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R. d. Borst, Eindhoven University of Technology, The Netherlands; E. Ramm, Universität Stuttgart (Eds)

Multiscale Methods in Computational MechanicsProgress and Accomplishments

This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent com-puting methodologies are addressed for a range of application areas in computational solid and fluid mechanics.

2011. XVIII, 446 p. (Lecture Notes in Applied and Computational Mechanics, Tentative volume 55) HardcoverISBN 978-90-481-9808-57 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,94 | sFr 186,50


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P. Borwein, S. Choi, B. Rooney, Simon Fraser University, Burnaby, BC, Canada; A. Weirathmueller, University of Western Ontario, London, ON, Canada (Eds)

The Riemann HypothesisA Resource for the Afficionado and Virtuoso Alike

This book presents the Riemann Hypothesis, con-nected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics.

Softcover reprint of hardcover 1st ed. 2008. XIV, 538 p. 25 illus. Book (Paperback Initiative). (CMS Books in Mathematics) SoftcoverISBN 978-1-4419-2465-07 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 103,50


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S. Bosch, W. Lütkebohmert, University of Münster, FRG; M. Raynaud, University of Paris-Sud, France

Neron ModelsNéron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construc-tion. The authors have taken this as their incentive to present a comprehensive treatment of Néron models.

Softcover reprint of the original 1st ed. 1990. X, 328 p. 4 illus. Book (Paperback Initiative). (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 21) SoftcoverISBN 978-3-642-08073-97 € 139,95 | £126.007 * € (D) 149,75 | € (A) 153,95 | sFr 186,50


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R. Bott, Harvard University, Cambridge, MA, USA; L. W. Tu, Tufts University, Medford, MA, USA

Differential Forms in Algebraic TopologyDeveloped from a first-year graduate course in al-gebraic topology, this text is an informal introduc-tion to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a proto-type of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Softcover reprint of hardcover 1st ed. 1982 1982. 92 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 82) SoftcoverISBN 978-1-4419-2815-37 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


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N. Bourbaki, Paris, France

Algebra IIChapters 4‑7

Transl. French: P. Cohn, J. Howie

This is a softcover reprint of the English transla-tion of 1990 of the revised and expanded version of Bourbaki‘s, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten.

1st ed. 1990. 2nd printing 2003. VIII, 454 p. (Elements of Mathematics) SoftcoverISBN 978-3-540-00706-77 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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Theory of SetsThis is a softcover reprint of the English trans-lation of 1968 of N. Bourbaki‘s, Théorie des Ensembles (1970).

1st ed. 1968. 2nd printing 2004. VIII, 416 p. (Ettore Majorana International Science Series, Volume 18) SoftcoverISBN 978-3-540-22525-67 € 56,95 | £51.997 * € (D) 60,94 | € (A) 62,65 | sFr 82,00


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N. Bourbaki

Topological Vector SpacesChapters 1‑5

Transl. French: H. Eggleston, S. Madan

This is a softcover reprint of the English transla-tion of 1987 of the second edition of Bourbaki‘s Espaces Vectoriels Topologiques (1981). This [sec-ond edition] is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades. Table of Contents. Chapter I: Topologi-cal vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Chapter III: Spaces of continuous linear mappings.

1st ed. 1987. 2nd printing 2003. VII, 366 p. (Elements of Mathematics) SoftcoverISBN 978-3-540-42338-67 € 114,95 | £103.507 * € (D) 123,00 | € (A) 126,45 | sFr 165,00


9<HTOFPA=ecddig>N. Bourbaki, Paris, France

General TopologyChapters 1‑4

This is the softcover reprint of the English transla-tion of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki‘s Topologie générale. It gives all the basics of the subject, starting from definitions. Important classes of topological spaces are studied, uniform structures are introduced and applied to topological groups. Real numbers are constructed and their properties established. Part II, comprising the later chapters, Ch. 5-10, is also available in English in softcover.

1st ed. 1989. 2nd printing 1998 1989. VII, 452 p. (Ettore Majorana International Science Series, Volume 18) SoftcoverISBN 978-3-540-64241-17 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


9<HTOFPA=gecebb>









M. Braun, City University of New York, Flushing, NY, USA

Differential Equations and Their ApplicationsAn Introduction to Applied Mathematics

Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduc-tion to differential equations and their applica-tions. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems.

4th ed. 1993. XVI, 578 p. 68 illus. (Texts in Applied Mathematics, Volume 11) HardcoverISBN 978-0-387-97894-97 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


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G. E. Bredon, Rutgers University, New Brunswick, NJ, USA

Topology and GeometryThis book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses dif-ferentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, includ-ing surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago.

Softcover reprint of hardcover 1st ed. 1993. XIV, 557 p. 85 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 139) SoftcoverISBN 978-1-4419-3103-07 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00


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P. Bremaud, CNRS-ESE, Gif-sur-Yvette, France

Markov ChainsGibbs Fields, Monte Carlo Simulation, and Queues

Primarily an introduction to the theory of stochas-tic processes at the undergraduate or beginning graduate level, the primary objective of this book is to initiate students in the art of stochastic modelling. However it is motivated by significant applications and progressively brings the student to the borders of contemporary research. Examp-les are from a wide range of domains, including operations research and electrical engineering. Researchers and students in these areas as well as in physics, biology and the social sciences will find this book of interest.

Softcover reprint of hardcover 1st ed. 1999. XVIII, 446 p. 64 illus. Book (Paperback Initiative). (Texts in Applied Mathematics, Volume 31) SoftcoverISBN 978-1-4419-3131-37 € 56,95 | £49.997 * € (D) 60,94 | € (A) 62,65 | sFr 86,50


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S. Brenner, Louisiana State University, Baton Rouge, LA, USA; R. Scott, University of Chicago, IL, USA

The Mathematical Theory of Finite Element MethodsThis is the third and yet further updated edition of a highly regarded mathematical text. Brenner de-velops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

Softcover reprint of hardcover 3rd ed. 2008. XVIII, 402 p. 50 illus. Book (Paperback Initiative). (Texts in Applied Mathematics, Volume 15) SoftcoverISBN 978-1-4419-2611-17 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00


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M. R. Bridson, University of Oxford, UK; A. Häfliger, Universite de Geneve, Switzerland

Metric Spaces of Non-Positive CurvatureThis book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is devel-oped in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenat-ing elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces.

Softcover reprint of hardcover 1st ed. 1999. XXII, 644 p. 84 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 319) SoftcoverISBN 978-3-642-08399-07 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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J. H. Bruinier, Technische Universität Darmstadt, Germany; G. van der Geer, Universiteit van Amsterdam, The Netherlands; G. Harder, Universität Bonn, Germany; D. Zagier, Max-Planck-Institut für Mathematik, Bonn, Germany K. Ranestad, University of Oslo, Norway (Ed)

The 1-2-3 of Modular FormsLectures at a Summer School in Nordfjordeid, Norway

This book grew out of three series of lectures on „Modular Forms and their Applications“. Each part treats a number of beautiful applications, and together they form a comprehensive survey for the novice and a useful reference for a broad group of mathematicians.

2008. X, 266 p. 2 illus. (Universitext) SoftcoverISBN 978-3-540-74117-67 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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J. Buchmann, U. Vollmer, Technical University, Darmstadt, Germany

Binary Quadratic FormsAn Algorithmic Approach

The book deals with algorithmic problems related to binary quadratic forms, such as finding the representations of an integer by a form with inte-ger coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms. In order to solve those problems, the book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography. It requires only basic mathematical knowledge.

Softcover reprint of hardcover 1st ed. 2007. XIV, 318 p. 17 illus. Book (Paperback Initiative). (Algorithms and Computation in Mathematics, Volume 20) SoftcoverISBN 978-3-642-07971-97 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTOGPC=ahjhbj>

J. Buchmann, Technische Universität Darmstadt, Germany

Introduction to CryptographyCryptography is a key technology in electronic key systems. It is used to keep data secret, digitally sign documents, access control, and so forth. Users therefore should not only know how its techniques work, but they must also be able to estimate their efficiency and security. Based on courses taught by the author, this book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exer-cises are included following each chapter. This re-vised and extended edition includes new material on the AES encryption algorithm, the SHA-1 Hash algorithm, on secret sharing, as well as updates in the chapters on factoring and discrete logarithms.

2nd ed. 2004. XVI, 335 p. 27 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-20756-87 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


9<HTLDTH=cahfgi>

J. Buchmann, U. Vollmer, Technical University, Darmstadt, Germany

Binary Quadratic FormsAn Algorithmic Approach

The book deals with algorithmic problems related to binary quadratic forms, such as finding the representations of an integer by a form with inte-ger coefficients, finding the minimum of a form with real coefficients and deciding equivalence of two forms. In order to solve those problems, the book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography. It requires only basic mathematical knowledge.

2007. XIV, 318 p. 17 illus. (Algorithms and Computation in Mathematics, Volume 20) HardcoverISBN 978-3-540-46367-27 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


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H. Bühlmann, Zurich, Switzerland

Mathematical Methods in Risk TheoryFrom the reviews: „The huge literature in risk the-ory has been carefully selected and supplemented by personal contributions of the author, many of which appear here for the first time. The result is a systematic and very readable book, which takes into account the most recent developments of the field. It will be of great interest to the actuary as well as to the statistician who wants to become familiar with the subject.“ Math. Reviews Vol. 43 „It is a book of fundamental importance for all interested in the application or teaching of the subject and a significant addition to the literature.

1st ed. 1970. 2nd printing 2005. XII, 210 p. (Grundlehren der mathematischen Wissenschaften, Volume 172) HardcoverISBN 978-3-540-05117-67 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


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H. Bühlmann, ETH, Zürich, Switzerland; A. Gisler, Winterthur Insurance Company, Winterthur, Switzerland

A Course in Credibility Theory and its ApplicationsThe book is aimed at teachers and students as well as practising experts in the financial area, in par-ticular at actuaries in the field of property-casualty insurance, life insurance, reinsurance and insur-ance supervision. Persons working in the wider world of finance will also find many relevant ideas and examples even though credibility methods have not yet been widely applied here. The book covers the subject of Credibility Theory extensive-ly and includes most aspects of this topic from the simplest case to the most general dynamic model. Credibility is a lifeless topic if it is not linked closely to practical applications.

2005. XVIII, 338 p. 31 illus., 22 in color. (Universitext) SoftcoverISBN 978-3-540-25753-07 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTOFPA=cfhfda>P. Bullen, University of British Columbia, Vancouver, Canada

Handbook of Means and Their InequalitiesThis book updates its earlier version and enlarges the scope considerably to give a full and in-depth treatment the topic of means and their inequali-ties. Among its features are a variety of proofs for many of the basic results, and an extensive bibliography.

Softcover reprint of hardcover 2nd ed. 2003. XXVIII, 538 p. Book (Paperback Initiative). (Mathematics and Its Applications (closed), Volume 560) SoftcoverISBN 978-90-481-6383-07 € 94,95 | £85.507 * € (D) 101,60 | € (A) 104,45 | sFr 126,50


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Y. D. Burago, V. A. Zalgaller, Leningrad, USSR

Geometric InequalitiesTransl. Russian: A. Sossinsky

A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Iso-perimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

1988. XIV, 331 p. 43 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 285) SoftcoverISBN 978-3-642-05724-37 € 119,95 | £95.007 * € (D) 128,35 | € (A) 131,95 | sFr 199,50


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C. J. Bushnell, King‘s College, London, UK; G. Henniart, Université de Paris Sud, Orsay, France

The Local Langlands Conjecture for GL(2)If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between the characters of the multi-plicative group GL(1,F) of F and the characters of the Weil group of F. If n is a positive integer, the n-dimensional analogue of a character of the multiplicative group of F is an irreducible smooth representation of the general linear group GL(n,F). The local Langlands Conjecture for GL(n) postu-lates the existence of a canonical bijection between such objects and n-dimensional representations of the Weil group, generalizing class field theory.

Softcover reprint of hardcover 1st ed. 2006. XII, 348 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 335) SoftcoverISBN 978-3-642-06853-97 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 149,50


9<HTOGPC=agifdj>

G. Calugareanu, Babes-Bolyai University, Cluj-Napoca, Romania; P. Hamburg, Fernuniversität GH, Hagen, Germany

Exercises in Basic Ring TheoryThis book contains almost 350 exercises in basic ring theory. The problems form the `folklore‘ of ring theory, and the solutions are given in as much detail as possible. This makes the work ideally suited for self-study. Subjects treated include zero divisors, ring homomorphisms, divisibility in integral domains, division rings, automorphisms, the tensor product, artinian and noetherian rings, socle and radical rings, semisimple rings, polynomial rings, rings of quotients, and rings of continuous functions.

Softcover reprint of hardcover 1st ed. 1998. XIV, 200 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 20) SoftcoverISBN 978-90-481-4985-87 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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C. Canuto, Politecnico di Torino, Italy; M. Y. Hussaini, Florida State University, Tallahassee, FL, USA; A. Quarteroni, EPFL, Lausanne, Switzerland and Politecnico di Milano, Italy; T. A. Zang, NASA Langley Research Center, Hampton, VA, USA

Spectral MethodsEvolution to Complex Geometries and Applications to Fluid Dynamics

Following up the seminal Spectral Methods in Fluid Dynamics, this book surveys the essential algorithmic and theoretical aspects of spec-tral methods for complex geometries. This is a companion book to Spectral Methods: Funda-mentals in Single Domains, which discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions.

2007. XXX, 598 p. 183 illus., 20 in color. (Scientific Computation) HardcoverISBN 978-3-540-30727-37 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


9<HTOFPA=dahchd>

G. Capriz, Universitá di Pisa, Italy; G. Stampacchia, SNS Pisa, Italy (Eds)

New Variational Techniques in Mathematical PhysicsLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 17‑26, 1973

C. Baiocchi: Problèmes à frontière libre liés à des questions d’hydraulique.- Ch. Castaing: Intégrales convexes duales.- G. Duvaut: Etude de problèmes unilateraux en mécanique par des méthodes varia-tionnelles.- D. Kinderlehrer: Remarks about the free boundaries occurring in variational inequali-ties.- H. Lanchon: Torsion élastoplastique d’arbres cylindriques: problèmes ouverts.- J.M. Lasry: Dualité en calcul des variations.- J.J.

Reprint of the 1st. ed. C.I.M.E., Ed. Ceromonese, Roma, 1974. 2011. 420 p. 14 illus. (C.I.M.E. Summer Schools (closed), Volume 63) SoftcoverISBN 978-3-642-10958-47 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bajfie>C. Cattaneo, Università di Roma, Italy (Ed)

Relativistic Fluid DynamicsLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 7‑16, 1970

Pham Mau Quam: Problèmes mathématiques en hydrodynamique relativiste.- A. Lichnerowicz: Ondes de choc, ondes infinitésimales et rayons en hydrodynamique et magnétohydrodynamique relativistes.- A.H. Taub: Variational principles in general relativity.- J. Ehlers: General relativistic kinetic theory of gases.- K. Marathe: Abstract Minkowski spaces as fibre bundles.- G. Boillat: Sur la propagation de la chaleur en relativité.

Reprint of the 1st. ed. C.I.M.E., Ed. Cremonese, Roma, 2011. 424 p. 163 illus., 118 in color. (C.I.M.E. Summer Schools (closed), Volume 52) SoftcoverISBN 978-3-642-11097-97 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bbajhj>









K.‑C. Chang, Peking University, Beijing, China

Methods in Nonlinear AnalysisNonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinary differential equations, dif-ferential geometry and mathematical physics as applications, and provides the necessary prepara-tion for almost all important aspects in contempo-rary studies.

Softcover reprint of hardcover 1st ed. 2005. X, 442 p. 26 illus. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-06327-57 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTOGPC=agdchf>

G. Chavent, INRIA, Rocquencourt, France

Nonlinear Least Squares for Inverse ProblemsTheoretical Foundations and Step‑by‑Step Guide for Applications

This book provides a step-by-step introduction to the least squares resolution of nonlinear inverse problems. For readers interested in projection of non-convex sets, it also presents the geometric theory of quasi-convex and strictly quasi-convex sets.

2010. XIV, 360 p. (Scientific Computation) HardcoverISBN 978-90-481-2784-97 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 172,00


9<HTUAPI=bchiej>

G. H. Choe, Korean Advanced Institute of Science and Technology, Daejeon, Republic of Korea

Computational Ergodic TheoryErgodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computer experiments are simple but they have close ties with theoretical implications.

Softcover reprint of hardcover 1st ed. 2005. XX, 453 p. 250 illus. Book (Paperback Initiative). (Algorithms and Computation in Mathematics, Volume 13) SoftcoverISBN 978-3-642-06207-07 € 74,95 | £59.997 * € (D) 80,20 | € (A) 82,45 | sFr 124,50


9<HTOGPC=agcaha>

K. L. Chung, Stanford University, CA, USA; F. AitSahlia, University of Florida, Gainesville, FL, USA

Elementary Probability TheoryWith Stochastic Processes and an Introduction to Mathematical Finance

This book is an introductory textbook on prob-ability theory and its applications. Basic concepts such as probability measure, random variable, distribution, and expectation are fully treated without technical complications. Both the discrete and continuous cases are covered, but only the elements of calculus are used in the latter case. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples.

Softcover reprint of hardcover 4th ed. 2003. XIII, 402 p. 114 illus., 57 in color. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-3062-07 € 79,95 | £66.997 * € (D) 85,55 | € (A) 87,95 | sFr 114,00


9<HTMEPB=jdagca>

K. L. Chung

Markov Chains with Stationary Transition ProbabilitiesFrom the reviews: J. Neveu, 1962 in Zentralblatt für Mathematik, 92.Band Heft 2, p. 343: „Ce livre écrit par l‘un des plus éminents spécialistes en la matière, est un exposé très détaillé de la théorie des processus de Markov définis sur un espace dénombrable d‘états et homogènes dans le temps (chaines stationnaires de Markov).“ N.Jain, 2008 in Selected Works of Kai Lai Chung, edited by Farid AitSahlia (University of Florida, USA), Elton Hsu (Northwestern University, USA), & Ruth Wil-liams (University of California-San Diego, USA), Chapter 1, p. 15: „This monograph deals with countable state Markov chains in both discrete time (Part I) and continuous time (Part II). [...

2nd ed. 1967. (Grundlehren der mathematischen Wissenschaften, Volume 104) HardcoverISBN 978-3-540-03822-17 € 45,79 | £36.997 * € (D) 49,00 | € (A) 50,37 | sFr 66,00


9<HTOFPA=adiccb>

E. Çınlar, Operations Research and Financial Engineering, Princeton University, Princeton, NJ, USA

Probability and StochasticsProbability and Stochastics provides an introduc-tion to the field, and begins by describing the fundamentals and basic principles of probability theory. Later chapters discuss more advanced topics, such as Martingales, Poisson Random Mea-sures, Levy Processes and Brownian Motion.

2011. XIII, 557 p. (Graduate Texts in Mathematics, Volume 261) HardcoverISBN 978-0-387-87858-47 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


9<HTLDTH=ihifie>









H. Cohen, Université Bordeaux I, Talence, France

Number TheoryVolume II: Analytic and Modern Tools

This book deals with several aspects of what is now called „explicit number theory.“ The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

Softcover reprint of hardcover 1st ed. 2007. XXIII, 596 p. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 240) SoftcoverISBN 978-1-4419-2388-27 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTMEPB=jcdiic>

H. Cohen, Université Bordeaux I, Talence, France

A Course in Computational Algebraic Number TheoryA description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm.

Softcover reprint of hardcover 1st ed. 1993. XX, 550 p. 1 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 138) SoftcoverISBN 978-3-642-08142-27 € 64,95 | £51.997 * € (D) 69,50 | € (A) 71,45 | sFr 108,00


9<HTOGPC=aibecc>

P. Collet, Ecole Polytechnique, Palaiseau, France; J.‑P. Eckmann, University of Geneva, Switzerland

Concepts and Results in Chaotic Dynamics: A Short CourseThe study of dynamical systems is a well estab-lished field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the aspects that are of interest to mathematicians and physicists alike. Avoiding belaboured proofs, the exposition concentrates instead on abundant illustrations and examples, while still retaining sufficient mathematical precision. Besides the standard topics of the field, questions of physical measurement and stochastic properties of chaotic dynamical systems are given much attention.

2006. XII, 232 p. 67 illus., 29 in color. (Theoretical and Mathematical Physics) HardcoverISBN 978-3-540-34705-77 € 59,95 | £47.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


9<HTOFPA=dehafh>

J. B. Conway, University of Tennessee, Knoxville, TN, USA

A Course in Functional AnalysisThis book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author in-troduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.



9<HTMEPB=jdajch>

C. Costara, D. Popa, Dept. of Mathematics, Ovidius University of Constanta, Romania

Exercises in Functional AnalysisThis book of exercises in Functional Analysis contains almost 450 exercises (all with complete solutions), providing supplementary examples, counter-examples and applications for the basic notions usually presented in an introductory course in Functional Analysis. It contains three parts. The first one contains exercises on the general properties for sets in normed spaces, linear bounded operators on normed spaces, reflexivity, compactness in normed spaces, and on the basic principles in Functional Analysis: the Hahn-Banach theorem, the Uniform Bounded-ness Principle, the Open Mapping and the Closed Graph theorems.

Softcover reprint of hardcover 1st ed. 2003. X, 454 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 26) SoftcoverISBN 978-90-481-6399-17 € 65,00 | £51.997 * € (D) 69,55 | € (A) 71,50 | sFr 108,00


9<HTUAPI=bgdjjb>D. A. Cox, Amherst College, Amherst, MA, USA; J. Little, College of the Holy Cross, Worcester, MA, USA; D. O‘Shea, Mount Holyoke College, South Hadley, MA, USA

Using Algebraic GeometryIn recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting new applications of algebraic geometry. This book illustrates the many uses of algebraic geometry, highlighting some of the more recent applications of Gröbner bases and resultants.

2nd ed. 2005. X, 558 p. 24 illus. (Graduate Texts in Mathematics, Volume 185) SoftcoverISBN 978-0-387-20733-97 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 66,50


9<HTLDTH=cahddj>









D. A. Cox, Amherst College, Amherst, MA, USA; J. Little, College of the Holy Cross, Worcester, MA, USA; D. O‘Shea, Mount Holyoke College, South Hadley, MA, USA

Ideals, Varieties, and AlgorithmsAn Introduction to Computational Algebraic Geometry and Commutative Algebra

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geom-etry, and dimension theory.

Softcover reprint of hardcover 3rd ed. 2007. XV, 551 p. 78 illus. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2257-17 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 71,50


9<HTMEPB=jccfhb>

I. Cuculescu, Faculty of Mathematics, University of Bucharest, Romania; A. Oprea, Dept. of Mathematics, Polytechnical University Bucharest, Romania

Noncommutative ProbabilityThis volume introduces the subject of noncom-mutative probability from a mathematical point of view based on the idea of generalising funda-mental theorems in classical probability theory. It contains topics including von Neumann algebras, Fock spaces, free independence and Jordan algebras. Full proofs are given, and outlines are sketched where some background information is essential to follow the argument. The bibliography lists classical papers on the subject as well as re-cent titles, thus enabling further study. This book is of interest to graduate students and researchers in functional analysis, von Neumann algebras, probability theory and stochastic calculus.



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J. Cuntz, University of Münster, Germany; G. Skandalis, Université de Paris VII, Paris, France; B. Tsygan, Northwestern University, Evanston, IL, USA

Cyclic Homology in Non-Commutative GeometryContributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems.

Softcover reprint of hardcover 1st ed. 2004. XIII, 137 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 121) SoftcoverISBN 978-3-642-07337-37 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


9<HTOGPC=ahddhd>

R.‑A. Dana, Université Paris IX (Dauphine), Paris, France; M. Jeanblanc, Université d‘Evry, France

Financial Markets in Continuous TimeTransl. French: A. Kennedy

This book explains key financial concepts, mathematical tools and theories of mathematical finance. The range of topics covered is very broad for an introductory text. The book contains two separate appendices on Brownian motion and on numerical methods.

1st ed. 2003. Corr. 2nd printing 2007. XII, 326 p. (Springer Finance / Springer Finance Textbooks) SoftcoverISBN 978-3-540-71149-07 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


9<HTOFPA=hbbeja>

F. Delbaen, ETH Zürich, Switzerland; W. Schachermayer, Technische Universität Wien, Austria

The Mathematics of ArbitrageProof of the „Fundamental Theorem of Asset Pricing“ in its general form by Delbaen and Schachermayer was a milestone in the history of modern mathematical finance and now forms the cornerstone of this book. Puts into book format a series of major results due mostly to the authors of this book. Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background. Awai-ted in the quantitative finance community.

Softcover reprint of hardcover 1st ed. 2006. XVI, 371 p. Book (Paperback Initiative). (Springer Finance) SoftcoverISBN 978-3-642-06030-47 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTOGPC=agadae>

F. Diamond, Brandeis University, Waltham, MA, USA; J. Shurman, Reed College, Portland, OR, USA

A First Course in Modular FormsThis book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The Theorem is stated in various forms, related to each other and to their applications to number theory.

Softcover reprint of hardcover 1st ed. 2005. XVI, 436 p. 29 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 228) SoftcoverISBN 978-1-4419-2005-87 € 54,95 | £43.997 * € (D) 58,80 | € (A) 60,45 | sFr 91,50


9<HTMEPB=jcaafi>









G. Dixon, Dept. of Physics, Brandeis University, Waltham, MA, USA

Division Algebras:Octonions Quaternions Complex Numbers and the Algebraic Design of Physics

The four real division algebras (reals, complexes, quaternions and octonions) are the most obvious signposts to a rich and intricate realm of select and beautiful mathematical structures. Using the new tool of adjoint division algebras, with respect to which the division algebras themselves appear in the role of spinor spaces, some of these structures are developed, including parallelizable spheres, exceptional Lie groups, and triality. In the case of triality the use of adjoint octonions greatly simpli-fies its investigation.



9<HTMEPB=jehegi>

D. Djukić, University of Toronto, ON, Canada; V. Janković, Belgrade University, Belgrade, Serbia; I. Matić, Duke University, Durham, NC, USA; N. Petrović, Texas A&M University at Qatar, Science Department, Doha, Qatar

The IMO CompendiumA Collection of Problems Suggested for The International Mathematical Olympiads: 1959‑2009 Second Edition

This is the latest edition of the ultimate collection of challenging probems from The International Mathematical Olympiad (IMO) of high-school-level mathematics problems. This volume collects 143 new problems, picking up where the 1959-2004 edition left off.

2nd ed. 2011. XIV, 809 p. 124 illus. (Problem Books in Mathematics) HardcoverISBN 978-1-4419-9853-87 € 66,95 | £60.997 * € (D) 71,64 | € (A) 73,65 | sFr 96,00


9<HTMEPB=jjifdi>

Z. Dostál, Technical University of Ostrava, Czech Republic

Optimal Quadratic Programming AlgorithmsWith Applications to Variational Inequalities

With QP problems arising in scientific fields as diverse as optics and agriculture, a comprehensive understanding of quadratic programming is a valuable resource. Here, Zdenek Dostál presents recently developed algorithms for solving large QP problems.

Softcover reprint of hardcover 1st ed. 2009. XVIII, 284 p. 55 illus. Book (Paperback Initiative). (Springer Optimization and Its Applications, Volume 23) SoftcoverISBN 978-1-4419-4648-57 € 76,95 | £69.997 * € (D) 82,34 | € (A) 84,65 | sFr 102,50


9<HTMEPB=jegeif>

B. Dubrovin, A. Fomenko, Moscow State University, Moscow, USSR; S. Novikov, Academy of Sciences of the USSR, Moscow, USSR

Modern Geometry — Methods and ApplicationsPart I: The Geometry of Surfaces, Transformation Groups, and Fields

Transl. Russian: R. Burns

This is the first volume of a three-volume intro-duction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include ten-sors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory.

Only available in print

2nd ed. 1992. XVI, 470 p. (Graduate Texts in Mathematics, Volume 93) HardcoverISBN 978-0-387-97663-17 € 59,95 | £47.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


9<HTLDTH=jhggdb>

M. Duflo, Universite de Marne-la-Vallee, Noisy-Le-Grand, France

Random Iterative ModelsTranslated by: S. Wilson

The recent development of computation and au-tomation has lead to quick advances in the theory and practice of recursive methods for stabilization, identification and control of complex stochastic models (guiding a rocket or a plane, organizing multiaccess broadcast channels, self-learning of neural networks ...). This book provides an up-to-date view of a wide range of those methods: stochastic approximation, linear and non-linear models, controlled Markov chains, estimation and adaptive control, learning ...

Softcover reprint of hardcover 1st ed. 1997. XVI, 385 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 34) SoftcoverISBN 978-3-642-08175-07 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


9<HTOGPC=aibhfa>

J. Duistermaat, University of Utrecht, The Netherlands

Fourier Integral OperatorsThis useful introduction to Fourier Integral Operators approaches the subject from symplectic geometry and includes application to hyperbolic equations and oscillatory asymptotic solutions which may have caustics.

2011. XI, 142 p. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-8107-47 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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R. Durrett, Cornell University, Ithaca, NY, USA

Probability Models for DNA Sequence EvolutionThis book presents mathematical techniques for understanding sequence evolution. The theory is developed in close connection with data from more than 60 experimental studies that illustrate the use of these results.

Softcover reprint of hardcover 2nd ed. 2008. XII, 432 p. Book (Paperback Initiative). (Probability and Its Applications) SoftcoverISBN 978-1-4419-2677-77 € 71,95 | £64.997 * € (D) 76,99 | € (A) 79,15 | sFr 111,50


9<HTMEPB=jcghhh>

G. Edgar, The Ohio State University, Columbus, OH, USA

Measure, Topology, and Fractal GeometryThis is essentially an advanced undergradu-ate textbook about the mathematics of fractal geometry. It is based on a course given to talented high-school students at Ohio University in 1988 and contains plenty of examples, exercises, and good illustrations of fractals.

Softcover reprint of hardcover 2nd ed. 2008. XVI, 272 p. 169 illus., 20 in color. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2569-57 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 63,50


9<HTMEPB=jcfgjf>

P. Embrechts, ETH Zürich, Switzerland; C. Klüppelberg, Munich University of Technology, Garching, Germany; T. Mikosch, University of Copenhagen, Denmark

Modelling Extremal Eventsfor Insurance and Finance

In insurance and finance applications, questions involving extremal events play an important role. This book sets out to bridge the gap between exist-ing theory and practical applications both from a probabilistic as well as statistical point of view.

1997. XV, 648 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 33) SoftcoverISBN 978-3-642-08242-97 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 116,50


9<HTOGPC=aicecj>

U. Faigle, University of Cologne, Germany; W. Kern, G. Still, University of Twente, Enschede, The Netherlands

Algorithmic Principles of Mathematical ProgrammingAlgorithmic Principles of Mathematical Program-ming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research.

Softcover reprint of hardcover 1st ed. 2002. 352 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 24) SoftcoverISBN 978-90-481-6117-17 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTUAPI=bgbbhb>

G. Faltings, Princeton University, Princeton, NJ, USA; C.‑L. Chai, University of Pennsylvania, Philadelphia, PA, USA

Degeneration of Abelian VarietiesA new and complete treatment of semi-abelian degenerations of abelian varieties, and their appli-cation to the construction of arithmetic compac-tifications of Siegel moduli space, with most of the results being published for the first time.

Softcover reprint of hardcover 1st ed. 1990. XII, 318 p. Book (Paperback Initiative). (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 22) SoftcoverISBN 978-3-642-08088-37 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50


9<HTOGPC=aiaiid>

S. Feng, McMaster University, Hamilton, Ontario, Canada

The Poisson-Dirichlet Distribution and Related TopicsModels and Asymptotic Behaviors

Presenting a comprehensive study of the Poisson-Dirichlet distribution, this volume emphasizes recent progress in evolutionary dynamics and asymptotic behaviors. The self-contained text presents methods and techniques that appeal to researchers in a wide variety of subjects.

2010. XIV, 218 p. (Probability and Its Applications) HardcoverISBN 978-3-642-11193-87 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


9<HTOGPC=bbbjdi>









M. R. Fengler, Sal. Oppenheim jr. & Cie., Frankfurt, Germany

Semiparametric Modeling of Implied VolatilityThe implied volatility surface is a key financial variable for the pricing and the risk management of plain vanilla and exotic options portfolios alike. Consequently, statistical models of the implied volatility surface are of immediate importance in practice: they may appear as estimates of the cur-rent surface or as fully specified dynamic models describing its propagation through space and time.

2005. XVI, 224 p. 61 illus. (Springer Finance / Springer Finance Lecture Notes) SoftcoverISBN 978-3-540-26234-37 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 79,00


9<HTOFPA=cgcded>

E. R. Fernholz, INTECH, Princeton, NJ, USA

Stochastic Portfolio TheoryStochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. On a practical level, stochastic portfolio theory has been the basis for strategies used for over a decade by the institutional equity manager INTECH, where the author has served as chief investment officer.

Softcover reprint of hardcover 1st ed. 2002. XIV, 177 p. 38 illus. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 48) SoftcoverISBN 978-1-4419-2987-77 € 85,95 | £76.507 * € (D) 91,97 | € (A) 94,55 | sFr 132,50


9<HTMEPB=jcjihh>

A. D. Fitt, University of Southampton, UK; J. Norbury, University of Oxford, UK; H. Ockendon, University of Warwick, UK; E. Wilson, University of Bristol, UK (Eds)

Progress in Industrial Mathematics at ECMI 2008This volume is the Proceedings of the European Conference on Mathematics for Industry held in London in June 2008. The aim of the meeting was to reinforce the role of mathematics as an overarching resource for industry and business. Contributions cover a wide range of mathematical techniques and the applications include manufac-turing and technology, finance and policy-making, networks, medicine, and sport.

2010. XXI, 1083 p. 356 illus. (Mathematics in Industry / The European Consortium for Mathematics in Industry, Volume 15) HardcoverISBN 978-3-642-12109-87 € 159,95 | £144.007 * € (D) 171,15 | € (A) 175,94 | sFr 229,50


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W. Fleming, Brown University, Providence, RI, USA

Functions of Several VariablesThis new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on ele-mentary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.

2nd ed. 1977. Corr. 3rd printing 1987 1977. 428 p. 96 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-90206-77 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 93,50


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W. H. Fleming, Brown University, Providence, RI, USA; H. M. Soner, Koc University, Istanbul, Turkey

Controlled Markov Processes and Viscosity SolutionsThis book is intended as an introduction to opti-mal stochastic control for continuous time Markov processes and to the theory of viscosity solutions. The authors approach stochastic control problems by the method of dynamic programming. The text provides an introduction to dynamic program-ming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. A new Chapter X gives an introduc-tion to the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets.

Softcover reprint of hardcover 2nd ed. 2006. XVII, 429 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 25) SoftcoverISBN 978-1-4419-2078-27 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTMEPB=jcahic>

O. Forster, University of Munich, Germany

Lectures on Reimann SurfacesTransl. German: B. Gilligan

This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. The material corresponds roughly to three semesters of lectures, arranged in a flexible sequence involving a minimum of pre-requisites. In the first chapter, the author considers Riemann surfaces as covering spaces, develops the pertinent basics of topology, and focuses on algebraic functions.

1st ed. 1981. Corr. 4th printing 1999 1981. VIII, 268 p. (Graduate Texts in Mathematics, Volume 81) HardcoverISBN 978-0-387-90617-17 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00


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B. Forte, Università di Pavia, Italy (Ed)

Functional Equations and InequalitiesLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in La Mendola (Trento), Italy, August 20‑28, 1970

J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory.

Reprint of the 1st. ed. C.I.M.E., Ed. Cremonese, Roma, 2011. 425 p. 2 illus. (C.I.M.E. Summer Schools (closed), Volume 54) SoftcoverISBN 978-3-642-11002-37 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bbaacd>A. Fowler, MACSI, Department of Mathematics & Statistics, University of Limerick, Limerick, Ireland

Mathematical GeoscienceThis book offers a comprehensive reference to the mathematical modeling of environmental and geophysical problems. It provides an abundance of mathematical models, both simple and complex, and elaborates them with approximation tech-niques.

2011. XIX, 883 p. 211 illus., 6 in color. (Interdisciplinary Applied Mathematics, Volume 36) HardcoverISBN 978-0-85729-699-37 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50


9<HTLIQH=cjgjjd>

G. Freudenburg, Western Michigan University, USA

Algebraic Theory of Locally Nilpotent DerivationsInvariant Theory and Algebraic Transformation Groups VII

This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geom-etry, but also in fields such as Lie algebras and dif-ferential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the entire theory is based.

Softcover reprint of hardcover 1st ed. 2006. XII, 262 p. 4 illus. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 136) SoftcoverISBN 978-3-642-06732-77 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 66,50


9<HTOGPC=aghdch>

R. Friedman, J. W. Morgan, Columbia University, New York, NY, USA

Smooth Four-Manifolds and Complex SurfacesThis book applies the recent techniques of gauge theory to study the smooth classification of com-pact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deforma-tions of holomorphic vector bundles, and explicit calculations for elliptic sur§ faces. The book rep-resents a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research.

Softcover reprint of hardcover 1st ed. 1994. X, 520 p. 17 illus. Book (Paperback Initiative). (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 27) SoftcoverISBN 978-3-642-08171-27 € 174,95 | £138.507 * € (D) 187,20 | € (A) 192,45 | sFr 290,50


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D. Fuchs, University of California, Davis, CA, USA; O. Viro, Uppsala University, Sweden V. Rokhlin, S. Novikov (Eds)

Topology IIHomotopy and Homology. Classical Manifolds

Translated by: C. Shaddock

Two top experts in topology, O.Ya. Viro and D.B. Fuchs, give an up-to-date account of research in central areas of topology and the theory of Lie groups. They cover homotopy, homology and cohomology as well as the theory of manifolds, Lie groups, Grassmanians and low-dimensional mani-folds. Their book will be used by graduate students and researchers in mathematics and mathematical physics.

Softcover reprint of hardcover 1st ed. 2004. X, 258 p. 39 illus. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 24) SoftcoverISBN 978-3-642-08084-57 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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W. Fulton, University of Chicago, IL, USA

Algebraic TopologyA First Course

This book introduces the important ideas of algebraic topology by emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concen-trates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encoun-tered. This makes it possible to see a wider variety of important features in the subject than is com-mon in introductory texts; it is also in harmony with the historical development of the subject.

1st ed. 1995. Corr. 2nd printing 1997. XVIII, 430 p. 13 illus. (Graduate Texts in Mathematics, Volume 153) SoftcoverISBN 978-0-387-94327-57 € 39,95 | £33.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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W. Fulton, University of Chicago, IL, USA; J. Harris, Harvard University, Cambridge, MA, USA

Representation TheoryA First Course

Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.

1st Corrected ed. 2004. Corr. 3rd printing 2004. XV, 551 p. 17 illus. (Graduate Texts in Mathematics / Readings in Mathematics, Volume 129) SoftcoverISBN 978-0-387-97495-87 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


9<HTLDTH=jhejfi>

T. W. Gamelin, Department of Mathematics UCLA, Los Angeles, CA, USA

Complex AnalysisAn introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD quali-fying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic.


1st ed. 2001. Corr. 2nd printing 2003. XVIII, 480 p. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-95069-37 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 70,00


9<HTLDTH=jfagjd>

J. Garnett, University of California, Los Angeles, CA, USA

Bounded Analytic FunctionsThis book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two de-cades or so. The book covers a wide range of topics in analysis and has well-organized with detailed proofs.

Softcover reprint of hardcover 1st ed. 2007. XIV, 463 p. 31 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 236) SoftcoverISBN 978-1-4419-2216-87 € 54,95 | £43.997 * € (D) 58,80 | € (A) 60,45 | sFr 91,50


9<HTMEPB=jccbgi>

C. Gasquet, Grenoble, France; P. Witomski, IMAG, Grenoble, France

Fourier Analysis and ApplicationsFiltering, Numerical Computation, Wavelets

Transl. French: R. Ryan

The object of this book is two-fold -- on the one hand it conveys to mathematical readers a rigorous presentation and exploration of the im-portant applications of analysis leading to nume-rical calculations. On the other hand, it presents physics readers with a body of theory in which the well-known formulae find their justification.

1999. XVIII, 464 p. 99 illus. (Texts in Applied Mathematics, Volume 30) HardcoverISBN 978-0-387-98485-87 € 77,95 | £70.007 * € (D) 83,41 | € (A) 85,75 | sFr 121,00


9<HTLDTH=jieifi>

S. I. Gelfand, American Mathematical Society, Providence, RI, USA; Y. I. Manin, Max-Planck-Institut für Mathematik, Bonn, Germany

Methods of Homological AlgebraHomological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological al-gebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf co-homology, spectral sequences, etc.) are described. In most cases complete proofs are given.

Softcover reprint of hardcover 2nd ed. 2003. XX, 372 p. 3 illus. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-07813-27 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 133,00


9<HTOGPC=ahibdc>

G. Geymonat, Polit. Torino, Italy (Ed)

Constructive Aspects of Functional AnalysisLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Erice (Trapani), Italy, June 27‑July 7, 1971

A. Balakrishnan: A constructive approach to op-timal control.- R. Glowinski: Méthodes itératives duales pour la minimisation de fonctionnelles convexes.- J.L. Lions: Approximation numérique des inéquations d’évolution.- G. Marchuk: Intro-duction to the methods of numerical analysis.- U. Mosco: An introduction to the approximate solution of variational inequalities.- I. Singer: Best approximation in normed linear spaces.- G.

Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Firenze, 1971. 2011. 854 p. 32 illus. (C.I.M.E. Summer Schools (closed), Volume 57) SoftcoverISBN 978-3-642-10982-97 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bajicj>









F. Gherardelli, Universitá di Firenze, Italy (Ed)

Complex AnalysisLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone (Bolzano), Italy, June 3‑12, 1973

A. Andreotti: Nine lectures on complex analysis.- J.J. Kohn: Propagations of singularities for the Cauchy-Riemann equations.- Yum-Tong Siu: The mixed case of the direct image theorem and its applications.

Reprint of the 1st. ed. C.I.M.E., Ed. Ceromonese, Roma, 1974. 2011. 463 p. 3 illus. (C.I.M.E. Summer Schools (closed), Volume 62) SoftcoverISBN 978-3-642-10963-87 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bajgdi>

M. Giaquinta, Scuola Normale Superiore, Pisa, Italy; S. Hildebrandt, University of Bonn, Germany

Calculus of Variations IThe Lagrangian Formalism

This 2-volume treatise by two of the lead-ing researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the origins partly in applied problems - such as those of geometric optics - of parts of the theory.

Softcover reprint of hardcover 1st ed. 2004. XXIX, 474 p. 73 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 310) SoftcoverISBN 978-3-642-08074-67 € 139,95 | £126.007 * € (D) 149,75 | € (A) 153,95 | sFr 186,50


9<HTOGPC=aiaheg>

P. Glasserman, Columbia University, New York, NY, USA

Monte Carlo Methods in Financial EngineeringMonte Carlo simulation has become an essential tool in the pricing of derivative securities and in risk management. These applications have, in turn, stimulated research into new Monte Carlo methods and renewed interest in some older techniques. This book develops the use of Monte Carlo methods in finance and it also uses simula-tion as a vehicle for presenting models and ideas from financial engineering. It divides roughly into three parts.

Softcover reprint of hardcover 1st ed. 2003. XIV, 602 p. 70 illus. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 53) SoftcoverISBN 978-1-4419-1822-27 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


9<HTMEPB=jbiccc>

R. Glowinski

Lectures on Numerical Methods for Non-Linear Variational ProblemsNotes by: G. Vijayasundaram

Originally published in the „Springer Series in Computational Physics,“ this classic in applied mathematics, computational physics and engi-neering is still a valuable resource for practitioners in industry and physics as well as for advanced students.

1981. XVIII, 496 p. (Scientific Computation) SoftcoverISBN 978-3-540-77506-57 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 106,50


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R. Godement, Université Paris VII, France

Analysis IConvergence, Elementary functions

Transl. French: P. Spain

Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skil-fully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reason-ing, and fundamental ideas. It is suitable for both teaching and self-study.

Softcover reprint of the original 1st ed. 2004. XXII, 430 p. 2 illus. (Universitext) SoftcoverISBN 978-3-540-05923-37 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


9<HTOFPA=afjcdd>

C. Godsil, University of Waterloo, ON, Canada; G. F. Royle, University of Western Australia, Nedlands, WA, Australia

Algebraic Graph TheoryThis book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classi-cal topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

2001. XIX, 443 p. (Graduate Texts in Mathematics, Volume 207) SoftcoverISBN 978-0-387-95220-87 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


9<HTLDTH=jfccai>









O. Goldreich, Weizmann Institute of Science, Rehovot, Israel

Modern Cryptography, Probalistic Proofs and PseudorandomnessThe book focuses on three related areas in the the-ory of computation. The areas are modern cryp-tography, the study of probabilistic proof systems, and the theory of computational pseudorandom-ness. The common theme is the interplay between randomness and computation. The book offers an introduction and extensive survey to each of these areas, presenting both the basic notions and the most important (sometimes advanced) results. The presentation is focused on the essentials and does not elaborate on details. In some cases it of-fers a novel and illuminating perspective.

Softcover reprint of hardcover 1st ed. 1999. XV, 182 p. Book (Paperback Initiative). (Algorithms and Combinatorics, Volume 17) SoftcoverISBN 978-3-642-08432-47 € 102,95 | £93.007 * € (D) 110,16 | € (A) 113,25 | sFr 137,50


9<HTOGPC=aiedce>G. Gorelik, Boston University, MA, USA; V. Y. Frenkel, A.E.Ioffe Physicotechnical Institute, St.Petersburg, Russia

Matvei Petrovich Bronsteinand Soviet Theoretical Physics in the Thirties

Translated by: V. M. Levina, Moscow, Russia

The life of Matvei Petrovich Bronstein (1906-1938) was closely intertwined with the social, historical and scientific context of one of the most tragic and intriguing periods of Russian history. This book examines the man and his times.

1994. XI, 198 p. 4 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-3-0348-0199-77 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


9<HTOAOE=iabjjh>

U. Görtz, T. Wedhorn

Algebraic GeometryPart I: Schemes. With Examples and Exercises

This comprehensive introduction to schemes is complemented by many exercises that serve to check the comprehension of the text, treat further examples and give an outlook on further results. Includes details from commutative algebra in an appendix.

2010. IV, 615 p. (Advanced Lectures in Mathematics) SoftcoverISBN 978-3-8348-0676-57 € 56,03 | £50.997 * € (D) 59,95 | € (A) 61,63 | sFr 75,00


9<HTOIOE=iaghgf>

L. Grafakos, University of Missouri, Columbia, MO, USA

Classical Fourier AnalysisThe primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. There are historical notes at the end of each chapter, and examples illustrate the defini-tions and ideas.



9<HTMEPB=jbiffa>

A. Granas, Universite de Montreal, QC, Canada ; J. Dugundji

Fixed Point Theory„The theory of Fixed Points is one of the most powerful tools of modern mathematics. Not only is it used on a daily basis in pure and applied mathematics, but it also serves as a bridge between Analysis and Topology, and provides a very fruitful area of interaction between the two. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an exten-sive bibliography describing further developments and applications.“ -Haïm Brézis, Université Pierre et Marie Curie This is certainly the most learned book ever likely to be published on this subject.

Softcover reprint of hardcover 1st ed. 2003. XVI, 690 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-1-4419-1805-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


9<HTMEPB=jbiaff>

G. Gras, University of Franche-Comte, Besancon, France

Class Field TheoryFrom Theory to Practice

Transl. French: H. Cohen

Global class field theory is a major achievement of algebraic number theory, based on the functorial properties of the reciprocity map and the existence theorem. The author works out the consequences and the practical use of these results by giving de-tailed studies and illustrations of classical subjects (classes, idèles, ray class fields, symbols, reciproc-ity laws, Hasse‘s principles, the Grunwald--Wang theorem, Hilbert‘s towers,...).

Softcover reprint of hardcover 1st ed. 2003. XIV, 492 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-07908-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


9<HTOGPC=ahjaif>









G.‑M. Greuel, C. Lossen, Universität Kaiserslautern, Germany; E. I. Shustin, Tel Aviv University, Israel

Introduction to Singularities and DeformationsSingularity theory is a field of intensive study in modern mathematics with fascinating relations to algebraic geometry, complex analysis, commuta-tive algebra, representation theory, theory of Lie groups, topology, dynamical systems, and many more, and with numerous applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory, and the theory of plane curve singularities.

Softcover reprint of hardcover 1st ed. 2007. XII, 472 p. 54 illus. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-06658-07 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTOGPC=aggfia>

M. Griebel, University of Bonn, Germany; S. Knapek, TWS Partners, Munich, Germany; G. Zumbusch, Friedrich-Schiller-Universität, Jena, Germany

Numerical Simulation in Molecular DynamicsNumerics, Algorithms, Parallelization, Applications

This book presents in detail the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique.

2007. XII, 476 p. 180 illus., 43 in color. Book (Paperback Initiative). (Texts in Computational Science and Engineering, Volume 5) SoftcoverISBN 978-3-642-08776-97 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 62,00


9<HTOGPC=aihhgj>

R. L. Griess, University of Michigan, Ann Arbor, MI, USA

Twelve Sporadic GroupsThe finite simple groups come in several infinite families (alternating groups and the groups of Lie type) plus 26 sporadic groups. The sporadic groups, discovered between 1861 and 1975, exist because of special combinatorial or arithmetic circumstances. A single theme does not capture them all. Nevertheless, certain themes dominate. The 20 sporadics involved in the Monster, the larg-est sporadic group, constitute the Happy Family. A leisurely and rigorous study of two of their three generations is the purpose of this book. The level is suitable for graduate students with little back-ground in general finite group theory, established mathematicians and mathematical physicists.

Softcover reprint of hardcover 1st ed. 1998. V, 169 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08305-17 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 133,00


9<HTOGPC=aidafb>

G. R. Grimmett, University of Cambridge, UK

PercolationPercolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and con-tinues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed.

Softcover reprint of hardcover 2nd ed. 1999. XIV, 448 p. 121 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 321) SoftcoverISBN 978-3-642-08442-37 € 99,95 | £79.007 * € (D) 106,95 | € (A) 109,95 | sFr 166,00


9<HTOGPC=aieecd>

D. Gromoll, State University of New York, Stony Brook, NY, USA; G. Walschap, University of Oklahoma, Norman, OK, USA

Metric Foliations and CurvatureRiemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form.

2009. VIII, 174 p. (Progress in Mathematics, Volume 268) HardcoverISBN 978-3-7643-8714-37 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 66,50


9<HTOHRE=dihbed>

M. Gross, University of Warwick, UK; D. Huybrechts, Université Paris 7 Denis Diderot, France; D. Joyce, Lincoln College, Oxford, UK G. Ellingsrud, K. Ranestad, University of Oslo, Norway; L. Olson, University of Tromso, Norway; S. A. Stromme, University of Bergen, Norway (Eds)

Calabi-Yau Manifolds and Related GeometriesLectures at a Summer School in Nordfjordeid, Norway, June 2001

This book is an expanded version of lectures given at a summer school on symplectic geometry in Nordfjordeid, Norway, in June 2001. The unifying feature of the book is an emphasis on Calabi-Yau manifolds.

Softcover reprint of the original 1st ed. 2003. VIII, 240 p. 1 illus. (Universitext) SoftcoverISBN 978-3-540-44059-87 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 85,50


9<HTOFPA=eeafji>









C. Grossmann, H.‑G. Roos, TU Dresden, Germany; M. Stynes, University College Cork, Ireland

Numerical Treatment of Partial Differential EquationsThis book deals with discretization techniques for partial differential equations of elliptic, para-bolic and hyperbolic type. It introduces the main principles of discretization and details the ideas and analysis of advanced numerical methods in the area.

2007. XII, 596 p. 86 illus. (Universitext) SoftcoverISBN 978-3-540-71582-57 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


9<HTOFPA=hbficf>

P. M. Gruber, Vienna University of Technology, Vienna, Austria

Convex and Discrete GeometryConvex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides be-ing a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in other areas of mathematics and in the applied fields.

Softcover reprint of hardcover 1st ed. 2007. XIV, 580 p. 67 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 336) SoftcoverISBN 978-3-642-09023-37 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 155,50


9<HTOGPC=ajacdd>

J. Guckenheimer, Cornell University, Ithaca, NY, USA; P. Holmes, University of Princeton, NJ, USA

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector FieldsAn application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exer-cises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

1st ed. 1983. Corr. 6th printing 2002. 484 p. 206 illus. (Applied Mathematical Sciences, Volume 42) HardcoverISBN 978-0-387-90819-97 € 76,95 | £69.997 * € (D) 82,34 | € (A) 84,65 | sFr 102,50


9<HTLDTH=jaibjj>

M. Gundlach, Aareal Bank AG, Wiesbaden, Germany; F. Lehrbass, Deutsche Genossenschafts-Hypothekenbank AG, Hamburg, Germany (Eds)

CreditRisk+ in the Banking IndustryCreditRisk+ is an important and widely imple-mented default-mode model of portfolio credit risk, based on a methodology borrowed from actuarial mathematics. This book gives an account of the status quo as well as of new and recent de-velopments of the credit risk model CreditRisk+, which is widely used in the banking industry. It gives an introduction to the model itself and to its ability to describe, manage and price credit risk.

Softcover reprint of hardcover 1st ed. 2004. XII, 370 p. Book (Paperback Initiative). (Springer Finance) SoftcoverISBN 978-3-642-05854-77 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTOGPC=afifeh>

B. Gustafsson, Uppsala, Sweden

High Order Difference Methods for Time Dependent PDEThe subject of this book is high order finite dif-ference methods for time dependent PDE. The idea is to give an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform. Various types of wave propagation problems are treated in specific detail since high order methods are particularly effective for these problems.

Softcover reprint of hardcover 1st ed. 2008. XVI, 334 p. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 38) SoftcoverISBN 978-3-642-09439-27 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


9<HTOGPC=ajedjc>

W. Hackbusch, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany

Multi-Grid Methods and ApplicationsMulti-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehen-sive convergence analysis. One section describes special applications (convection-diffusion equa-tions, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the „panel method“) and to numerous other problems.

1st ed. 1985. 2nd printing 2003. CCCLXXVII, 396 p. (Springer Series in Computational Mathematics, Volume 4) HardcoverISBN 978-3-540-12761-17 € 134,95 | £121.507 * € (D) 144,40 | € (A) 148,45 | sFr 180,00


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Elliptic Differential EquationsTheory and Numerical Treatment

Transl. German: R. Fadiman, P. Ion

This is the soft cover reprint of the very popular hardcover edition. The book offers a simultaneous presentation of the theory and of the numerical treatment of elliptic problems.

1st. ed. 1992. 2nd printing 2010. XIV, 311 p. (Springer Series in Computational Mathematics, Volume 18) SoftcoverISBN 978-3-642-05244-67 € 102,95 | £93.007 * € (D) 110,16 | € (A) 113,25 | sFr 137,50


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Multi-Grid Methods and ApplicationsMulti-grid methods are the most efficient tools for solving elliptic boundary value problems. The reader finds here an elementary introduction to multi-grid algorithms as well as a comprehen-sive convergence analysis. One section describes special applications (convection-diffusion equa-tions, singular perturbation problems, eigenvalue problems, etc.). The book also contains a complete presentation of the multi-grid method of the second kind, which has important applications to integral equations (e.g. the „panel method“) and to numerous other problems.

Softcover reprint of hardcover 1st ed. 1985. CCCLXXVII, 396 p. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 4) SoftcoverISBN 978-3-642-05722-97 € 134,95 | £121.507 * € (D) 144,40 | € (A) 148,45 | sFr 180,00


9<HTOGPC=afhccj>

E. Hairer, University of Geneva, Switzerland; C. Lubich, University of Tübingen, Germany; G. Wanner, University of Geneva, Switzerland

Geometric Numerical IntegrationStructure‑Preserving Algorithms for Ordinary Differential Equations

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions.

2nd ed. 2006. XVIII, 644 p. 153 illus. (Springer Series in Computational Mathematics, Volume 31) HardcoverISBN 978-3-540-30663-47 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


9<HTOFPA=daggde>

E. Hairer, University of Geneva, Switzerland; S. P. Nørsett, Norwegian University of Science and Technology, Norway; G. Wanner, University of Geneva, Switzerland

Solving Ordinary Differential Equations INonstiff Problems

This book deals with methods for solving nonstiff ordinary differential equations. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs. This new edition has been rewritten and new material has been included.

2nd ed. 1993. Corr. 3rd printing 2009 1993. XVI, 528 p. (Springer Series in Computational Mathematics, Volume 8) SoftcoverISBN 978-3-642-05163-07 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 93,50


9<HTOGPC=afbgda>

E. Hairer, University of Geneva, Switzerland; C. Lubich, University of Tübingen, Germany; G. Wanner, University of Geneva, Switzerland

Geometric Numerical IntegrationStructure‑Preserving Algorithms for Ordinary Differential Equations

This book covers numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions.

2nd ed. 2006. 2nd printing 2010 2006. XVIII, 644 p. 153 illus. (Springer Series in Computational Mathematics, Volume 31) SoftcoverISBN 978-3-642-05157-97 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTOGPC=afbfhj>

E. Hairer, G. Wanner, University of Geneva, Switzerland

Solving Ordinary Differential Equations IIStiff and Differential‑Algebraic Problems

This book covers the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material includ-ing numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes.

2nd ed. 1996. XVI, 614 p. 137 illus. (Springer Series in Computational Mathematics, Volume 14) SoftcoverISBN 978-3-642-05220-07 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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P. Hajek, Czech Academy of Sciences, Praha, Czech Republic; V. Montesinos Santalucia, Universidad Politecnica de Valencia, Valencia, Spain; J. Vanderwerff, La Sierra University, Riverside, CA, USA; V. Zizler, Czech Academy of Sciences, Praha, Czech Republic

Biorthogonal Systems in Banach SpacesOne of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us a sense of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.

2008. XVIII, 342 p. Book (Paperback Initiative). (CMS Books in Mathematics) SoftcoverISBN 978-1-4419-2395-07 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 109,00


9<HTMEPB=jcdjfa>

B. Hall, University of Notre Dame, IN, USA

Lie Groups, Lie Algebras, and RepresentationsAn Elementary Introduction

Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-inti-midating machinery of roots and the Weyl group in a gradual way, using examples and representa-tion theory as motivation. The text is divided into two parts.

Softcover reprint of hardcover 1st ed. 2003. XIV, 354 p. 38 illus., 7 in color. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 222) SoftcoverISBN 978-1-4419-2313-47 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTMEPB=jcdbde>

P. R. Halmos, Santa Clara University, Santa Clara, CA, USA

Measure TheoryUseful both as a text for students and as a source of reference for the more advanced mathemati-cian, this book presents a unified treatment of that part of measure theory which is most useful for its application in modern analysis. Topics studied include sets and classes, measures and outer mea-sures, measurable functions, integration, general set functions, product spaces, transformations, probability, locally compact spaces, Haar measure and measure and topology in groups. The text is suitable for the beginning graduate student as well as the advanced undergraduate.

1st ed. 1974. 2nd printing 1978. 324 p. (Graduate Texts in Mathematics, Volume 18) HardcoverISBN 978-0-387-90088-97 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


9<HTLDTH=jaaiij>

P. Halmos

Finite-Dimensional Vector Spaces“The theory is systematically developed by the axiomatic method that has, since von Neu-mann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity. The presentation is never awkward or dry, as it sometimes is in other “modern” textbooks; it is as unconventional as one has come to expect from the author. The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher.” Zentralblatt für Mathematik

1st ed. 1974. 5th printing 1993. 212 p. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-90093-37 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


9<HTLDTH=jaajdd>

M. Haragus, Université de Franche-Comté, France; G. Iooss, Université de Nice, France

Local Bifurcations, Center Manifolds, and Normal Forms in Infinite-Dimensional Dynamical SystemsCo‑publication with EDP Sciences

Starting with the simplest bifurcation problems arising for ordinary differential equations in one- and two-dimensions, this book describes tools from the theory of infinite dimensional dynamical systems, allowing the reader to treat more compli-cated problems.

2011. XIV, 325 p. 34 illus. (Universitext) SoftcoverISBN 978-0-85729-111-07 € 59,95 | £39.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


9<HTLIQH=cjbbba>

J. Harris, Harvard University, Cambridge, MA, USA

Algebraic GeometryA First Course

This book is intended to introduce students to algebraic geometry; to give them a sense of the ba-sic objects considered, the questions asked about them, and the sort of answers one can expect to obtain. It thus emplasizes the classical roots of the subject. For readers interested in simply seeing what the subject is about, this avoids the more technical details better treated with the most recent methods.


Softcover reprint of hardcover 1st ed. 1992. XX, 330 p. 83 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 133) SoftcoverISBN 978-1-4419-3099-67 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


9<HTMEPB=jdajjg>









R. Hartshorne, University of California, Berkeley, CA, USA

Geometry: Euclid and BeyondThis book offers a unique opportunity to under-stand the essence of one of the great thinkers of western civilization. A guided reading of Euclid‘s „Elements“ leads to a critical discussion and rigorous modern treatment of Euclid‘s geometry and its more recent descendants. Also included are complete proofs, introduction of coordinates, the theory of area, geometrical constructions and finite field extensions, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra. The text is intended for junior-senior level mathemat-ics majors.

Softcover reprint of hardcover 1st ed. 2000, 2010. XII, 528 p. 550 illus. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-3145-07 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTMEPB=jdbefa>

E. Hewitt, University of Washington, Seattle, WA, USA; K. A. Ross, University of Oregon, Eugene, OR, USA

Abstract Harmonic AnalysisStructure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: „This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments.

1st ed. 1970. 2nd printing 1994 1970. X, 771 p. (Grundlehren der mathematischen Wissenschaften, Volume 152) SoftcoverISBN 978-3-540-58318-97 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


9<HTOFPA=fidbij>

T. Hida, Meijo University, Nagoya, Japan; Hui‑Hsiung Kuo, Louisiana State University, Baton Rouge, USA; J. Potthoff, Universität Mannheim, Germany; L. Streit, Universität Bielefeld, Germany

White NoiseAn Infinite Dimensional Calculus

This monograph presents a framework for infinite dimensional analysis based on white noise. This approach, which has many areas of application is both intuitive and efficient. Among the concepts and structures generalized to an infinite dimen-sional setting in this book are: spaces of test and generalized functions, differential calculus, Lapla-cian and Fourier transforms and Dirichlet forms and their Markov processes.

Softcover reprint of hardcover 1st ed. 1993. XIV, 516 p. Book (Paperback Initiative). (Mathematics and Its Applications (closed), Volume 253) SoftcoverISBN 978-90-481-4260-67 € 146,95 | £132.507 * € (D) 157,24 | € (A) 161,65 | sFr 196,00


9<HTUAPI=becgag>

P. Hilton, State University of New York, Binghamton, NY, USA; D. Holton, University of Otago, Dunedin, New Zealand; J. Pedersen, University of Santa Clara, CA, USA

Mathematical VistasFrom a Room with Many Windows

The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetiz-ers for further study. A number of BREAKS are included in each chapter.

Softcover reprint of hardcover 1st ed. 2002. XIV, 337 p. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2867-27 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 116,50


9<HTMEPB=jcighc>

D. Hinrichsen, University of Bremen, Germany; A. J. Pritchard, University of Warwick, UK

Mathematical Systems Theory IModelling, State Space Analysis, Stability and Robustness

This book presents the mathematical foundations of systems theory in a self-contained, compre-hensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems, whereas the second volume will be devoted to control. It combines features of a detailed introductory textbook with that of a ref-erence source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.

1st ed. 2005. Corr. printing 2010 2005. XVI, 804 p. 180 illus. (Texts in Applied Mathematics, Volume 48) SoftcoverISBN 978-3-642-03940-97 € 69,95 | £59.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50


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M. Hinze, Universität Hamburg, Germany; R. Pinnau, Technische Universität Kaiserslautern, Germany; M. Ulbrich, Technische Universität München, Germany; S. Ulbrich, Technische Universität Darmstadt, Germany

Optimization with PDE ConstraintsThis book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework.

Softcover reprint of hardcover 1st ed. 2009. XI, 270 p. 26 illus., 19 in color. Book (Paperback Initiative). (Mathematical Modelling: Theory and Applications, Volume 23) SoftcoverISBN 978-90-481-8003-57 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 124,50


9<HTUAPI=biaadf>









J.‑B. Hiriart‑Urruty, Universite Paul Sabatier, Toulouse, France; C. Lemarechal, INRIA, Le Chesnay, France

Convex Analysis and Minimization AlgorithmsPart 1: Fundamentals

This book covers the fundamentals of convex analysis, a refinement of standard calculus with equalities and approximations replaced by inequalities. Reviews minimization algorithms, which provide immediate application to optimiza-tion and operations research.

Softcover reprint of hardcover 1st ed. 1993. XVIII, 418 p. 113 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 305) SoftcoverISBN 978-3-642-08161-37 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


9<HTOGPC=aibgbd>

J. Hoffstein, J. Pipher, J. Silverman, Brown University, Providence, RI, USA

An Introduction to Mathematical CryptographyThis self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section.

Softcover reprint of hardcover 1st ed. 2008. XVI, 524 p. 29 illus. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2674-67 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 63,50


9<HTMEPB=jcgheg>

H. Holden, Norwegian University of Science and Technology, Trondheim, Norway; N. H. Risebro, University of Oslo, Blindern, Norway

Front Tracking for Hyperbolic Conservation LawsThis book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. It contains details and in-formation about numerical approximation for the Cauchy problem.

2011. XII, 361 p. 40 illus. (Applied Mathematical Sciences, Volume 152) SoftcoverISBN 978-3-642-23910-67 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 80,00


9<HTOGPC=cdjbag>

G. C. Hsiao, University of Delaware, Newark, DE, USA; W. L. Wendland, University of Stuttgart, Germany

Boundary Integral EquationsThis book examines the basic mathematical prop-erties of solutions to boundary integral equations and details the variational methods for the bound-ary integral equations arising in elasticity, fluid mechanics and acoustic scattering theory.

Softcover reprint of hardcover 1st ed. 2008. XX, 620 p. Book (Paperback Initiative). (Applied Mathematical Sciences, Volume 164) SoftcoverISBN 978-3-642-05733-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


9<HTOGPC=afhddf>

W. Hundsdorfer, J. G. Verwer, Center for Mathematics & Computer Science (CWI), Amsterdam, The Netherlands

Numerical Solution of Time-Dependent Advection-Diffusion-Reaction EquationsUnique book on Reaction-Advection-Diffusion problems

Softcover reprint of hardcover 1st ed. 2003. X, 471 p. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 33) SoftcoverISBN 978-3-642-05707-67 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


9<HTOGPC=afhahg>

T. W. Hungerford, Cleveland State University, Cleveland, OH, USA

AlgebraFinally a self-contained, one volume, graduate-level algebra text that is readable by the average graduate student and flexible enough to accom-modate a wide variety of instructors and course contents. The guiding principle throughout is that the material should be presented as general as possible, consistent with good pedagogy. Therefore it stresses clarity rather than brevity and contains an extraordinarily large number of illustrative exercises.

1st ed. 1974. Corr. 5th printing 2003. XXIII, 509 p. (Graduate Texts in Mathematics, Volume 73) HardcoverISBN 978-0-387-90518-17 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00


9<HTLDTH=jafbib>









R. S. Irving, University of Washington, Seattle, WA, USA

Integers, Polynomials, and RingsA Course in Algebra

This introduction to modern algebra differs from texts in this area in fundamental ways. The author‘s primary goal is to have the reader learn to work with mathematics through reading, writing, speaking, and listening. The choice of content is important, but he regards it as a vehicle, not as an end in itself. It is the raw material through which the readers develop the ability to understand and communicate mathematics. One non-standard feature of the book is that the author proves only a few of the theorems. Most proofs are left as exercises, and these exercises can form the core of a course based on this book.

2004. X, 284 p. 3 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-20172-67 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


9<HTLDTH=cabhcg>J. Jacod, Universite Paris VI, Paris, France; A. Shiryaev, Russian Academy of Sciences, Moscow, Russia

Limit Theorems for Stochastic ProcessesInitially the theory of convergence in law of sto-chastic processes was developed quite indepen-dently from the theory of martingales, semi-martingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied.

Softcover reprint of hardcover 2nd ed. 2003. XX, 664 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 288) SoftcoverISBN 978-3-642-07876-77 € 99,95 | £79.007 * € (D) 106,95 | € (A) 109,95 | sFr 166,00


9<HTOGPC=ahihgh>

T. Jech, Mathematical Institute of the Academy of Sciences of Czech Republic

Set TheoryThe Third Millennium Edition, revised and expanded

Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.

3rd rev. ed. Corr. 4th printing 2006 2003. XIV, 772 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-44085-77 € 134,95 | £121.507 * € (D) 144,40 | € (A) 148,45 | sFr 180,00


9<HTOFPA=eeaifh>

E. Jondeau, University of Lausanne, Switzerland; S.‑H. Poon, University of Manchester, UK; M. Rockinger, University of Lausanne, Switzerland

Financial Modeling Under Non-Gaussian DistributionsNon-Gaussian distributions are the key theme of this book which addresses the causes and conse-quences of non-normality and time dependency in both asset returns and option prices. The aim is to bridge the gap between theoretical developments and the practical implementations of what many users and researchers perceive as „sophisticated“ models. The emphasis throughout is on practice: there are abundant empirical illustrations of the models and techniques described, many of which could be equally applied to other financial time series, such as exchange and interest rates.

Softcover reprint of hardcover 1st ed. 2007. XVIII, 542 p. 129 illus. Book (Paperback Initiative). (Springer Finance) SoftcoverISBN 978-1-84996-599-67 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTMIPJ=jgfjjg>

J. Jost, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Postmodern AnalysisTransl. German: H. Azad

This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applica-tions, in particular in the areas of calculus of varia-tions and partial differential equations. The book does not strive for abstraction for its own sake, but tries rather to impart a working knowledge of the key methods of contemporary analysis, in particular those that are also relevant for ap-plication in physics. It provides a streamlined and quick introduction to the fundamental concepts of Banach space and Lebesgue integration theory and the basic notions of the calculus of variations, including Sobolev space theory.

3rd ed. 2005. XV, 371 p. 14 illus. (Universitext) SoftcoverISBN 978-3-540-25830-87 € 39,95 | £31.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


9<HTOFPA=cfidai>J. Jost, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Compact Riemann SurfacesAn Introduction to Contemporary Mathematics

Unique among textbooks on Riemann surfaces, this book includes an introduction to Teichmül-ler theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presenta-tion.

3rd ed. 2006. XVIII, 282 p. 23 illus. (Universitext) SoftcoverISBN 978-3-540-33065-37 € 44,95 | £35.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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M. Juenger, Universität zu Köln, Germany; P. Mutzel, Technische Universität Wien, Austria (Eds)

Graph Drawing SoftwareAutomatic Graph Drawing is concerned with the layout of relational structures as they occur in Computer Science (Data Base Design, Data Mining, Web Mining), Bioinformatics (Metabolic Networks), Businessinformatics (Organization Diagrams, Event Driven Process Chains), or the Social Sciences (Social Networks). In mathemati-cal terms, such relational structures are modeled as graphs or more general objects such as hyper-graphs, clustered graphs, or compound graphs. A variety of layout algorithms that are based on graph theoretical foundations have been devel-oped in the last two decades and implemented in software systems.

2004. XII, 378 p. 228 illus., 220 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-00881-17 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 146,50


9<HTOFPA=aaiibb>

D. Jungnickel, University of Augsburg, Germany

Graphs, Networks and AlgorithmsThis is the third edition of the classic textbook on the subject. With its clear writing, strong organiza-tion, and comprehensive coverage of essential theory it is like a personal guide through this im-portant topic, and now has lots of extra material.

Softcover reprint of hardcover 3rd ed. 2008. XX, 650 p. 209 illus. Book (Paperback Initiative). (Algorithms and Computation in Mathematics, Volume 5) SoftcoverISBN 978-3-642-09186-57 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 107,50


9<HTOGPC=ajbigf>

J. Kallrath, Weisenheim, Germany; P. M. Pardalos, S. Rebennack, University of Florida, Gainsville, USA; M. Scheidt, ProCom GmbH, Aachen, Germany (Eds)

Optimization in the Energy IndustryThis book offers a broad, in-depth overview that reflects the requirements, possibilities and limits of mathematical optimization and, especially, stochastic optimization in the energy industry.

Softcover reprint of hardcover 1st ed. 2009. XX, 533 p. Book (Paperback Initiative). (Energy Systems) SoftcoverISBN 978-3-642-10031-47 € 146,95 | £132.507 * € (D) 157,24 | € (A) 161,65 | sFr 196,00


9<HTOGPC=baadbe>

I. Karatzas, Columbia University, New York, NY, USA; S. Shreve, Carnegie-Mellon University, Pittsburgh, PA, USA

Methods of Mathematical FinanceThis sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/invest-ment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for existence and uniqueness of market prices which support trading by several heterogeneous agents.

Softcover reprint of the original 1st ed. 1998. XVI, 416 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 39) SoftcoverISBN 978-1-4419-2852-87 € 76,95 | £69.997 * € (D) 82,34 | € (A) 84,65 | sFr 102,50


9<HTMEPB=jcifci>

M. Kashiwara, University of Kyoto, Japan; P. Schapira, Université Pierre et Marie Curie, Paris, France

Categories and SheavesCategories and sheaves, which emerged in the middle of the last century as an enrichment for the concepts of sets and functions, appear almost everywhere in mathematics nowadays. This book covers categories, homological algebra and sheaves in a systematic and exhaustive manner starting from scratch, and continues with full proofs to an exposition of the most recent results in the litera-ture, and sometimes beyond. The authors present the general theory of categories and functors, emphasising inductive and projective limits, ten-sor categories, representable functors, ind-objects and localization.

Softcover reprint of hardcover 1st ed. 2006. X, 497 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 332) SoftcoverISBN 978-3-642-06620-77 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 149,50


9<HTOGPC=aggcah>M. Kashiwara, Kyoto University, Kyoto, Japan; P. Schapira, University of Paris VI, Paris, France

Sheaves on ManifoldsWith a Short History „Les debuts de la theorie des faisceaux“ by Christian Houzel

From the reviews: This book is devoted to the study of sheaves by microlocal methods..(it) may serve as a reference source as well as a textbook on this new subject. Houzel‘s historical overview of the development of sheaf theory will identify important landmarks for students and will be a pleasure to read for specialists. Math. Reviews 92a (1992). The book is clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics.(...

Softcover reprint of hardcover 1st ed. 1990. X, 512 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 292) SoftcoverISBN 978-3-642-08082-17 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 155,50


9<HTOGPC=aiaicb>









C. Kassel, Université Louis Pasteur - CNRS, Strasbourg, France; V. Turaev, Indiana University, Bloomington, IN, US

Braid GroupsGraphic design by: O. Dodane

The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability.

Softcover reprint of hardcover 1st ed. 2008. X, 338 p. 60 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 247) SoftcoverISBN 978-1-4419-2220-57 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00


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H. Kesten, Cornell University, Ithaca, NY, USA (Ed)

Probability on Discrete StructuresWith contrib. by: D. Aldous, G. R. Grimmett, C. D. Howard, F. Martinelli, J. M. Steele, L. Saloff‑Coste

Most probability problems involve random variab-les indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery.

Softcover reprint of hardcover 1st ed. 2004. X, 352 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 110) SoftcoverISBN 978-3-642-05647-57 € 99,95 | £79.007 * € (D) 106,95 | € (A) 109,95 | sFr 166,00


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A. Kirillov, Moscow University, Moscow, Russia (Ed)

Representation Theory and Noncommutative Harmonic Analysis IIHomogeneous Spaces, Representations and Special Functions

Transl. Russian: G. Dijk, A. Klimyk, V. Molchanov, S. Pakuliak, With contrib. by: A. Klimyk, V. Molchanov, N. Vilenkin

This volume of the Encyclopaedia contains two contributions: the first one, „Harmonic Analysis on Homogeneous Spaces“, is written by V.F.Molchanov, the second one, „Representations of Lie Groups and Special Functions“, by N.Ya. Vilenkin and A.U. Klimyk.

Softcover reprint of hardcover 1st ed. 1995 1995. VIII, 266 p. 2 illus. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 59) SoftcoverISBN 978-3-642-08126-27 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


9<HTOGPC=aibcgc>P. E. Kloeden, Johann-Wolfgang-Goethe-Universität, Frankfurt, Germany; E. Platen, University of Technology Sydney, NSW, Australia

Numerical Solution of Stochastic Differential EquationsThe numerical analysis of stochastic differential equations differs significantly from that of ordi-nary differential equations, due to the peculiarities of stochastic calculus. The book proposes to the reader whose background knowledge is limited to undergraduate level methods for engineering and physics, and easily accessible introductions to SDE and then applications as well as the numerical methods for dealing with them.

Softcover reprint of hardcover 1st ed. 1992. XXXVI, 636 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 23) SoftcoverISBN 978-3-642-08107-17 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 133,00


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N. Koblitz, University of Washington, Seattle, WA, USA

A Course in Number Theory and CryptographyThis is a substantially revised and updated int-roduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising estimates of the efficiency of the tech-niques that arise from the theory, and one special feature is the inclusion of recent applications of the theory of elliptic curves. Extensive exercises and careful answers are an integral part all of the chapters.

2nd ed. 1994. X, 235 p. (Graduate Texts in Mathematics, Volume 114) HardcoverISBN 978-0-387-94293-37 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


9<HTLDTH=jecjdd>N. I. Koblitz, University of Washington, Seattle, WA, USA

Introduction to Elliptic Curves and Modular FormsThe theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elemen-tary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. The second edition of this text includes an updated bibliography indicat-ing the latest, dramatic changes in the direction of proving the Birch and Swinnerton conjecture. It also discusses the current state of knowledge of elliptic curves.

2nd ed. 1993. X, 252 p. 1 illus. (Graduate Texts in Mathematics, Volume 97) HardcoverISBN 978-0-387-97966-37 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


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U. Kohlenbach, Technische Universität Darmstadt, Germany

Applied Proof Theory: Proof Interpretations and their Use in MathematicsThis is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to or-dinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as – via extended case studies – carrying out some of these applications in full detail. This subject has histori-cal roots in the 1950s. This book for the first time tells the whole story.

Softcover reprint of hardcover 1st ed. 2008. XX, 536 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-09627-37 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 109,00


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V. Kolmanovskii, Moscow University of Electronics and Mathematics, Russia; A. Myshkis, Moscow State University of Communications (MIIT), Moscow, Russia

Introduction to the Theory and Applications of Functional Differential EquationsThis book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, op-timal control and estimation, the theory of linear equations, and basic principles of mathematical modelling.



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P. Komjath, Eötvös Lóránd University, Budapest, Hungary; V. Totik, University of South Florida, Tampa, FL, USA

Problems and Theorems in Classical Set TheoryThis is the first comprehensive collection of problems in set theory. It contains well chosen sequences of exercises. Most of the problems are challenging and require work, wit, and inspiration. The book is destined to become a classic.

Softcover reprint of hardcover 1st ed. 2006. XII, 516 p. Book (Paperback Initiative). (Problem Books in Mathematics) SoftcoverISBN 978-1-4419-2140-67 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


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B. Korte, J. Vygen, University of Bonn, Germany

Combinatorial OptimizationTheory and Algorithms

Now fully updated in a third edition, this is a com-prehensive textbook on combinatorial optimiza-tion. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. Recent topics are covered as well, and numerous references are provided.

Softcover reprint of hardcover 4th ed. 2008. XVIII, 627 p. 77 illus. Book (Paperback Initiative). (Algorithms and Combinatorics, Volume 21) SoftcoverISBN 978-3-642-09092-97 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


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Y. Kuznetsov, Rijskuniversiteit Utrecht, The Netherlands

Elements of Applied Bifurcation TheoryProviding a solid basis in dynamical systems theo-ry, and explicit procedures for application, this is a must-have for students of advanced mathematics. ‚I know of no other book that so clearly explains the basic phenomena of bifurcation theory.‘ - Math Reviews

Softcover reprint of hardcover 3rd ed. 2004. XXII, 631 p. 251 illus. Book (Paperback Initiative). (Applied Mathematical Sciences, Volume 112) SoftcoverISBN 978-1-4419-1951-97 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


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A. Kyprianou, University of Bath, UK

Introductory Lectures on Fluctuations of Lévy Processes with ApplicationsLévy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust math-ematical theory exists. Their mathematical sig-nificance is justified by their application in many areas of classical and modern stochastic models. This textbook forms the basis of a graduate course on the theory and applications of Lévy processes, from the perspective of their path fluctuations. Central to the presentation are decompositions of the paths of Lévy processes in terms of their local maxima and an understanding of their short- and long-term behaviour.

2006. XIII, 378 p. 22 illus. (Universitext) SoftcoverISBN 978-3-540-31342-77 € 39,95 | £31.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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T. Lam, University of California, Berkeley, CA, USA

Serre‘s Problem on Projective ModulesAn invaluable summary of research work done in the period from 1978 to the present

Softcover reprint of hardcover 1st ed. 2006. XXII, 404 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-06235-37 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 133,00


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T. Lam, University of California, Berkeley, CA, USA

Exercises in Modules and RingsThis volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

Softcover reprint of hardcover 1st ed. 2007. XVIII, 414 p. Book (Paperback Initiative). (Problem Books in Mathematics) SoftcoverISBN 978-1-4419-3175-77 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 73,50


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S. K. Lando, Independent University of Moscow, Russia; A. K. Zvonkin, Université Bordeaux, Talence, France R. Gamkrelidze, Steklov Mathematical Institute, Moscow, Russia; V. Vassiliev (Eds)

Graphs on Surfaces and Their ApplicationsGraphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the ap-pearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research.

Softcover reprint of hardcover 1st ed. 2004. XV, 455 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 141) SoftcoverISBN 978-3-642-05523-27 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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S. Lang, Yale University, New Haven, CT, USA

Algebraic Number TheoryThis is a corrected printing of the second edition of Lang‘s well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory.

2nd ed. 1994. Corr. 3rd printing 2000. XIII, 376 p. 7 illus. (Graduate Texts in Mathematics, Volume 110) HardcoverISBN 978-0-387-94225-47 € 54,95 | £46.997 * € (D) 58,80 | € (A) 60,45 | sFr 80,50


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S. Lang

Elliptic CurvesDiophantine Analysis

This book takes the view that parallel to the pure arithmetic theory over number fields lies the algebraic-geometric theory of algebraic systems, where sections play the role of rational points. The author formulates analogs of classic diophantine problems.

1978. 280 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 231) SoftcoverISBN 978-3-642-05717-57 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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Short CalculusThe Original Edition of “A First Course in Calculus”

Praise for the first edition: „..Lang‘s present book is a source of interesting ideas and brilliant techniques.“ Acta Scientiarum Mathematicarum „..It is an admirable straightforward introduction to calculus.“ Mathematika This is a reprint of A First Course in Calculus, which has gone through five editions since the early sixties. It covers all the topics traditionally taught in the first-year calculus sequence in a brief and elementary fashion. As sociological and educational conditions have evolved in various ways over the past four decades, it has been found worthwhile to make the original edition available again.

Reprint of the 1st ed. Addison-Wesley, 1964. 2002. XII, 260 p. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-95327-47 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


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Fundamentals of Differential GeometryThis is the new edition of Serge Lang‘s „Differen-tial and Riemannian Manifolds.

1st ed. 1999. Corr. 2nd printing 2001. XVII, 564 p. (Graduate Texts in Mathematics, Volume 191) HardcoverISBN 978-0-387-98593-07 € 59,95 | £49.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,50


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Undergraduate AnalysisThis is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform conver-gence and uniform limits in the context of differ-entiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally inte-grable vector fields, has rewritten many sections and expanded others.

Softcover reprint of hardcover 2nd ed. 1997. XV, 642 p. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2853-57 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00


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Introduction to Modular FormsFrom the reviews: „This book gives a thorough introduction to several theories that are funda-mental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms.“ #Mathematical Reviews# „This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms.“ #Publicationes Mathematicae#

Softcover reprint of the original 1st ed. 1987. IX, 261 p. 9 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 222) SoftcoverISBN 978-3-642-05716-87 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 149,50


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H. P. Langtangen, Simula Research Laboratory, Lysaker, Norway

Python Scripting for Computational ScienceThe goal of this book is to demonstrate how to develop tailored, flexible working environments built from small programs (scripts) written in the easy-to-learn, high-level language Python. The focus is on applications relevant to computational scientists.

Softcover reprint of hardcover 3rd ed. 2008. XXVI, 756 p. Book (Paperback Initiative). (Texts in Computational Science and Engineering, Volume 3) SoftcoverISBN 978-3-642-09315-97 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


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H. P. Langtangen, University of Oslo, Norway

Computational Partial Differential EquationsNumerical Methods and Diffpack Programming

The target audience of this book is students and researchers in computational sciences who need to develop computer codes for solving partial differential equations. The exposition is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view. The main emphasis regards development of flexible computer programs, using the numerical library Diffpack.

2nd ed. 2003. XXVI, 855 p. (Texts in Computational Science and Engineering, Volume 1) HardcoverISBN 978-3-540-43416-07 € 59,95 | £47.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00


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R. Laubenbacher, D. Pengelley, New Mexico State University, Las Cruces, NM, USA

Mathematical ExpeditionsChronicles by the Explorers

The stories of five mathematical journeys into new realms, pieced together from the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, others by more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realisation that still greater vistas remain to be explored. The authors tell these stories by guiding readers through the very words of the mathematicians at the heart of these events, providing an insightinto the art of approaching mathematical problems.

1999. X, 278 p. 46 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98434-67 € 62,95 | £49.997 * € (D) 67,36 | € (A) 69,25 | sFr 90,50


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J. M. Lee, University of Washington, Seattle, WA, USA

Riemannian ManifoldsAn Introduction to Curvature

This text is designed for a one-quarter or one-semester graduate couse in Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the Riemann curvature tensor, before moving on the submanifold theory, in order to give the curva-ture tensor a concrete quantitative interpretation.

1997. XVI, 226 p. 88 illus. (Graduate Texts in Mathematics, Volume 176) SoftcoverISBN 978-0-387-98322-67 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 63,50


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H.‑X. Li, City University of Hong Kong, Hong Kong, China; C. Qi, Shanghai Jiao Tong University, Shanghai, China

Spatio-Temporal Modeling of Nonlinear Distributed Parameter SystemsA Time/Space Separation Based Approach

This volume provides a brief review of the previ-ous work on model reduction and identification of DPS, and develops new spatio-temporal models and their relevant identification approaches. All modeling approaches are applied to industrial thermal processes.

2011. XVIII, 176 p. 107 illus. (Intelligent Systems, Control and Automation: Science and Engineering, Volume 50) HardcoverISBN 978-94-007-0740-57 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50


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J. L. Lions, University of Paris, France (Ed)

Numerical Analysis of Partial Differential EquationsLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Ispra (Varese), Italy, July 3‑11, 1967

S. Albertoni: Alcuni metodi di calcolo nella teoria della diffusione dei neutroni.- I. Babuska: Optimization and numerical stability in computa-tions.- J.H. Bramble: Error estimates in elliptic boundary value problems.- G. Capriz: The nu-merical approach to hydrodynamic problems.- A. Dou: Energy inequalities in an elastic cylinder.- T. Doupont: On the existence of an iterative method for the solution of elliptic difference equation with an improved work estimate.- J. Douglas, J.R.

Reprint of the 1st. Ed. C.I.M.E., Ed. Cremonese, Roma, 1968. 2011. 469 p. (C.I.M.E. Summer Schools (closed), Volume 44) SoftcoverISBN 978-3-642-11056-67 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bbafgg>R. S. Liptser, Tel Aviv University, Israel; A. N. Shiryaev, Steklov Mathematical Institute, Moscow, Russia

Statistics of Random ProcessesII. Applications

Transl. Russian: A. Aries

The subject of these two volumes is non-linear filtering (prediction and smoothing) theory and its application to the problem of optimal estimation, control with incomplete data, information theory, and sequential testing of hypothesis. The book is not only addressed to mathematicians but should also serve the interests of other scientists who apply probabilistic and statistical methods in their work.

Softcover reprint of hardcover 2nd ed. 2001. XVI, 402 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 6) SoftcoverISBN 978-3-642-08365-57 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 133,00


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R. S. Liptser, University of Tel Aviv, Israel; A. N. Shiryaev, Steklov Mathematical Institute, Moscow, Russia

Statistics of Random ProcessesI. General Theory

Transl. Russian: B. Aries

The subject of these two volumes is non-linear filtering (prediction and smoothing) theory and its application to the problem of optimal estimation, control with incomplete data, information theory, and sequential testing of hypothesis. The book is not only addressed to mathematicians but should also serve the interests of other scientists who apply probabilistic and statistical methods in their work.



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W. Liu, University of Central Arkansas, Conway, AR, USA

Elementary Feedback Stabilization of the Linear Reaction-Convection-Diffusion Equation and the Wave EquationUnlike abstract approaches to advanced control theory, this volume presents key concepts through concrete examples. Once the basic fundamentals are established, readers can apply them to solve other control problems of partial differential equa-tions.

2010. X, 296 p. (Mathématiques et Applications, Volume 66) SoftcoverISBN 978-3-642-04612-47 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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J.‑L. Loday, Strasbourg, France

Cyclic HomologyFrom the reviews: „This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes‘work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contem-porary algebraic topology and related topics.

Softcover reprint of hardcover 2nd ed. 1998. XIX, 513 p. 24 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 301) SoftcoverISBN 978-3-642-08316-77 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 155,50


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P. A. Loeb, Dept. of Mathematics, University of Illinois at Urbana, USA; M. P. Wolff, Mathematical Institute, University of Tübingen, Germany (Eds)

Nonstandard Analysis for the Working MathematicianThis book is addressed to mathematicians working in analysis and its applications. The aim is to pro-vide an understandable introduction to the basic theory of non-standard analysis and to illuminate some of its most striking applications. Problems are posed in all chapters. The opening chapter of the book presents a simplified form of the general theory that is suitable for the results of calculus and basic real analysis.

Softcover reprint of the original 1st ed. 2000. XIV, 312 p. 1 illus. (Mathematics and Its Applications (closed), Volume 510) SoftcoverISBN 978-0-7923-6341-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


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A. Lubotzky, Hebrew University, Jerusalem, Israel

Discrete Groups, Expanding Graphs and Invariant MeasuresAppendix by Jonathan D. Rogawski

Appendix by: J. D. Rogawski, University of California, Los Angeles, CA, USA

Unifying concepts from various fields within mathematics, this volume offers solutions to two known problems – the construction of expanding graphs and the Ruziewicz problem, concerning the finitely additive invariant measures of spheres.

1st ed. 1994. 2nd printing 2009. XII, 192 p. (Modern Birkhäuser Classics) SoftcoverISBN 978-3-0346-0331-77 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 53,50


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D. G. Luenberger, Y. Ye, Stanford University, Stanford, CA, USA

Linear and Nonlinear ProgrammingThis third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoreti-cal insights in this crucial computing area. The book also has a new co-author, who has written extra material including some on Interior Point Methods.

Softcover reprint of hardcover 3rd ed. 2008. XIV, 550 p. 93 illus. Book (Paperback Initiative). (International Series in Operations Research & Management Science, Volume 116) SoftcoverISBN 978-1-4419-4504-47 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50


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S. MacLane, University of Chicago, IL, USA; I. Moerdijk, University of Utrecht, The Netherlands

Sheaves in Geometry and LogicA First Introduction to Topos Theory

This book is an introduction to the theory of toposes, as first developed by Grothendieck and later developed by Lawvere and Tierney. Beginning with several illustrative examples, the book explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic. This is the first text to address all of these various aspects of topos theory at the graduate student level.

1st ed. 1992. Corr. 2nd printing 1994. XII, 630 p. (Universitext) SoftcoverISBN 978-0-387-97710-27 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00


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G. Malle, Universität Gesamthochschule Kassel, Germany; B. Matzat, University of Heidelberg, Germany

Inverse Galois TheoryA consistent and near complete survey of the important progress made in the field over the last few years, with the main emphasis on the rigidity method and its applications. Among others, this monograph presents the most successful existence theorems known and construction methods for Galois extensions as well as solutions for embed-ding problems combined with a collection of the existing Galois realizations.

Softcover reprint of hardcover 1st ed. 1999. XVI, 438 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08311-27 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 155,50


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P. Malliavin, Académie des Sciences, Paris, France; A. Thalmaier, Université de Poitiers, France

Stochastic Calculus of Variations in Mathematical FinanceMalliavin calculus provides an infinite-dimensi-onal differential calculus in the context of con-tinuous paths stochastic processes. The calculus includes formulae of integration by parts and Sobolev spaces of differentiable functions defined on a probability space. This new book, demonst-rating the relevance of Malliavin calculus for Ma-thematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable.



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Y. I. Manin, Max-Planck-Institut für Mathematik, Bonn

Gauge Field Theory and Complex GeometryAppendix by: S. Merkulov, Transl. Russian: N. Koblitz, J. King

From the reviews: „... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field“ (Contem-porary Physics )“the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding“ (New Zealand Math. Soc. Newsletter) „ The contents are highly techni-cal and the pace of the exposition is quite fast.

Softcover reprint of hardcover 2nd ed. 1997. XII, 346 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 289) SoftcoverISBN 978-3-642-08256-67 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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Y. I. Manin, Max-Planck-Institut für Mathematik, Bonn

Gauge Field Theory and Complex GeometryAppendix by: S. Merkulov, Transl. Russian: N. Koblitz, J. King

From the reviews: „... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field“ (Contem-porary Physics )“the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding“ (New Zealand Math. Soc. Newsletter) „ The contents are highly techni-cal and the pace of the exposition is quite fast.

2nd ed. 1997. XII, 346 p. (Grundlehren der mathematischen Wissenschaften, Volume 289) HardcoverISBN 978-3-540-61378-77 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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R. Mansuy, Bourg-la-Reine, France; M. Yor, Université Paris VI, Paris, France

Aspects of Brownian MotionStochastic calculus and excursion theory are very efficient tools to obtain either exact or asymp-totic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as: - Gauss-ian subspaces of the Gaussian space of Brownian motion; - Brownian quadratic funtionals; - Brown-ian local times, - Exponential functionals of Brownian motion with drift; - Winding number of one or several Brownian motions around one or several points or a straight line, or curves; - Time spent by Brownian motion below a multiple of its one-sided supremum. Besides its obvious audience of students and lecturers the book also addresses the interests of researchers from core probability theory out to applied fields such as polymer phys-ics and mathematical finance.

2008. XIV, 200 p. (Universitext) SoftcoverISBN 978-3-540-22347-47 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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D. A. Marcus, California State Polytechnic University, Pomona, CA, USA

Number FieldsRequiring no more than a basic knowledge of abstract algebra, this text presents the mathemat-ics of number fields in a straightforward, „down-to-earth“ manner. It thus avoids local methods, for example, and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.

1st ed. 1977. Corr. 3rd printing 1995. 292 p. (Universitext) SoftcoverISBN 978-0-387-90279-17 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 91,50


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D. Marker, University of Illinois, Chicago, IL, USA

Model Theory: An IntroductionAssumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures

Softcover reprint of hardcover 1st ed. 2002. VIII, 342 p. 2 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 217) SoftcoverISBN 978-1-4419-3157-37 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


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J. Marsden, California Institute of Technology, Pasadena, CA, USA; A. Weinstein, University of California, Berkeley, CA, USA

Calculus IIThe second of a three-volume work, this is the re-sult of the authors‘experience teaching calculus at Berkeley. The book covers techniques and applica-tions of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared.

2nd ed. 1985. Corr. 4th printing 1998. 345 p. 43 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-90975-27 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


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J. Marsden, California Institute of Technology, Pasadena, CA, USA; A. Weinstein, University of California, Berkeley, CA, USA

Calculus IUndergraduate Texts in Mathematics are generally aimed at third- and fourth-year undergraduate mathematics students at North American univer-sities. These texts strive to provide students and teachers with new perspectives and novel approa-ches. The books include motivation that guides the reader to an appreciation of interrelations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding.

2nd ed. 1985. 50 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-90974-57 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


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J. Martinet, University of Bordeaux, France

Perfect Lattices in Euclidean SpacesLattices are discrete subgroups of maximal rank in a Euclidean space. To each such geometrical object, we can attach a canonical sphere packing which, assuming some regularity, has a density. The question of estimating the highest possible density of a sphere packing in a given dimension is a fascinating and difficult problem: the answer is known only up to dimension 3. This book thus discusses a beautiful and central problem in math-ematics, which involves geometry, number theory, coding theory and group theory, centering on the study of extreme lattices, i.e.

Softcover reprint of hardcover 1st ed. 2003. XVIII, 523 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 327) SoftcoverISBN 978-3-642-07921-47 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 155,50


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J. Matousek, Charles University, Prague, Czech Republic

Using the Borsuk-Ulam TheoremLectures on Topological Methods in Combinatorics and Geometry

In cooperation with: A. Björner, G. Ziegler

To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas.

1st ed. 2003. XII, 200 p. (Universitext) SoftcoverISBN 978-3-540-00362-57 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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J. Matousek, Charles University, Praha, Czech Republic; B. Gärtner, ETH Zurich, Switzerland

Understanding and Using Linear ProgrammingThe book is an introductory textbook mainly for students of computer science and mathemat-ics. Its guiding phrase is „what every theoretical computer scientist should know about linear programming“. A major focus is on applications of linear programming.

2007. VIII, 226 p. 62 illus. (Universitext) SoftcoverISBN 978-3-540-30697-97 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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J. Matousek (Ed)

Geometric DiscrepancyAn Illustrated Guide

What is the „most uniform“ way of distribut-ing n points in the unit square? How big is the „irregularity“ necessarily present in any such distribution? This book is an accessible and lively introduction to the area of geometric discrepancy theory.

1st ed. 1999. 2nd printing 2009. XII, 290 p. 96 illus. (Algorithms and Combinatorics, Volume 18) SoftcoverISBN 978-3-642-03941-67 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


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J. Matousek (Ed)

Lectures on Discrete GeometryDiscrete geometry investigates combinatorial properties of configurations of geometric objects. To a working mathematician or computer scien-tist, it offers sophisticated results and techniques of great diversity and it is a foundation for fields such as computational geometry or combinatorial optimization. This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields.

Softcover reprint of the original 1st ed. 2002. XVI, 481 p. 206 illus. (Graduate Texts in Mathematics, Volume 212) SoftcoverISBN 978-0-387-95374-87 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00


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A. Meucci, Bloomberg L.P., New York, NY, USA

Risk and Asset AllocationThis encyclopedic, detailed resource covers all the steps of one-period allocation from the founda-tions to the most advanced developments. It includes a large number of figures and examples as well as real trading and asset management case studies.

1st ed. 2005. Corr. 3rd printing 2007 2005. XXVI, 532 p. (Springer Finance / Springer Finance Textbooks) HardcoverISBN 978-3-540-22213-27 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50


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J. M. Montesinos‑Amilibia, University of Madrid, Spain

Classical Tessellations and Three-ManifoldsThis unusual book, richly illustrated with 19 co-lour plates and about 250 line drawings, explores the relationship between classical tessellations and3-manifolds. In his original entertaining style with numerous exercises and problems, the author provides graduate students with a source of geomerical insight to low-dimensional topology, while researchers in this field will find here an account of a theory that is on the one hand known tothem but here is presented in a very different framework.

1st ed. 1987. Corr. 2nd printing 2009. XVII, 230 p. 2 illus. (Universitext) SoftcoverISBN 978-3-540-15291-07 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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P. Morandi, New Mexico State University, Las Cruces, NM, USA

Field and Galois TheoryThe purpose of this book is twofold. First, it is written to be a textbook for a graduate level course on Galois theory or field theory. Second, it is designed to be a reference for researchers who need to know field theory. The book is written at the level of students who have familiarity with the basic concepts of group, ring, vector space theory, including the Sylow theorems, factorization in polynomial rings, and theorems about bases of vector spaces. This book has a large number of examples and exercises, a large number of topics covered, and complete proofs given for the stated results. To help readers grasp field.

1996. XVI, 281 p. (Graduate Texts in Mathematics, Volume 167) HardcoverISBN 978-0-387-94753-27 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 93,50


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B. S. Mordukhovich, Wayne State University, Detroit, MI, USA

Variational Analysis and Generalized Differentiation IBasic Theory

Comprehensive and state-of-the art study of the basic concepts and principles of variational analy-sis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

2006. XXII, 579 p. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 330) SoftcoverISBN 978-3-642-06482-17 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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J.‑M. Morvan, Université Claude Bernard Lyon 1, Villeurbanne, France

Generalized CurvaturesThe intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, begin-ning with J. Steiner (1850), H. Weyl (1939), H. Federer (1959), P. Wintgen (1982), and con-tinues today with young and brilliant mathemati-cians. In the last decades, a renewal of interest in mathematics as well as computer science has arisen (finding new applications in computer graphics, medical imaging, computational geom-etry, visualization …).

Softcover reprint of hardcover 1st ed. 2008. XI, 266 p. 107 illus., 36 in color. Book (Paperback Initiative). (Geometry and Computing, Volume 2) SoftcoverISBN 978-3-642-09300-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 120,00


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D. Mundici, Department of Mathematics „Ulisse Dini“, University of Florence, Italy

Advanced Łukasiewicz calculus and MV-algebrasThis volume covers recent developments in Lukasiewicz Logic and their algebras (Chang MV-algebras), with particular reference to (de Finetti) coherent evaluation of continuously valued events, (Renyi) conditionals, and related algorithms.

2011. XVIII, 256 p. 16 illus. (Trends in Logic, Volume 35) HardcoverISBN 978-94-007-0839-67 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50


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K. Murasugi, Professor Emeritus, University of Toronto, ON, Canada; B. Kurpita, The Daiwa Anglo-Japanese Foundation, London, UK

A Study of BraidsThis book provides a comprehensive exposition of the theory of braids, beginning with the basic mathematical definitions and structures. Among the many topics explained in detail are: the braid group for various surfaces; the solution of the word problem for the braid group; braids in the context of knots and links (Alexander‘s theorem); Markov‘s theorem and its use in obtaining braid invariants; the connection between the Platonic solids (regular polyhedra) and braids; the use of braids in the solution of algebraic equations. Dirac‘s problem and special types of braids termed Mexican plaits are also discussed.



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J. Murín, Slovak University of Technology in Bratislava, Slovakia; V. Kompiš, Academy of Armed Forces, Slovakia; V. Kutiš, Slovak University of Technology, Bratislava, Slovakia (Eds)

Computational Modelling and Advanced SimulationsThis book gathers extended papers presented in the thematic ECCOMAS conference on Com-putational Modelling and Advanced Simulations (CMAS2009) held in Bratislava, Slovakia, June 30 – July 3, 2009. Covers recent results in computa-tional modeling and simulations.

2011. XIV, 366 p. (Computational Methods in Applied Sciences, Volume 24) HardcoverISBN 978-94-007-0316-27 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,94 | sFr 186,50


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U. Murty, Queen‘s University, Kingston, ON, Canada

Problems in Analytic Number TheoryThis informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It provides a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers.

Softcover reprint of hardcover 2nd ed. 2008. XXII, 506 p. Book (Paperback Initiative). (Graduate Texts in Mathematics / Readings in Mathematics, Volume 206) SoftcoverISBN 978-1-4419-2477-37 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 85,50


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M. Musiela, BNP Paribas, London, UK; M. Rutkowski, University of New South Wales, Sydney, NSW, Australia

Martingale Methods in Financial ModellingThis thoroughly revised second edition includes a brand new chapter devoted to volatility risk. As a consequence, hedging of plain-vanilla options and valuation of exotic options are no longer limited to the Black-Scholes framework with constant volatility.



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W. Narkiewicz, University of Wroclaw, Poland

The Development of Prime Number TheoryFrom Euclid to Hardy and Littlewood

This book presents the development of Prime Number Theory from its beginnings until the end of the first decade of the XXth century. Special em-phasis is given to the work of Cebysev, Dirichlet, Riemann, Vallée-Poussin, Hadamard and Landau. The book presents the principal results with proofs and also gives, mostly in short comments, an overview of the development in the last 80 years. It is, however, not a historical book since it does not give biographical details of the people who have played a role in the development of Prime Number Theory. The book contains a large list of references with more than 1800 items.

Softcover reprint of hardcover 1st ed. 2000. XII, 450 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08557-47 € 149,95 | £135.007 * € (D) 160,45 | € (A) 164,95 | sFr 233,00


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M. B. Nathanson, City University of New York, Bronx, NY, USA

Additive Number Theory The Classical BasesThe purpose of this book is to describe the clas-sical problems in additive number theory, and to introduce the circle method and the sieve method, which are the basic analytical and combinato-rial tools to attack these problems. This book is intended for students who want to learn additive number theory, not for experts who already know it. The prerequisites for this book are undergradu-ate courses in number theory and real analysis.

Softcover reprint of hardcover 1st ed. 1996. 364 p. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 164) SoftcoverISBN 978-1-4419-2848-17 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 93,50


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G. Nebe, RWTH Aachen, Germany; E. M. Rains, University of California Davis, CA, USA; N. J. Sloane, AT&T Shannon Labs, Florham Park, NJ, USA

Self-Dual Codes and Invariant TheoryOne of the most remarkable theorems in coding theory is Gleason‘s 1970 theorem about the weight enumerators of self-dual codes and their connec-tions with invariant theory. This book develops a new theory which is powerful enough to include all the earlier generalizations. It is also in part an extensive encyclopedia listing the different types of self-dual codes and their properties.

Softcover reprint of hardcover 1st ed. 2006. XXVII, 430 p. 10 illus. Book (Paperback Initiative). (Algorithms and Computation in Mathematics, Volume 17) SoftcoverISBN 978-3-642-06801-07 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 60,00


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J. Neukirch

Algebraic Number TheoryTransl. German: N. Schappacher

From the review: „The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples....



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V. V. Nikulin, I. R. Shafarevich, Steklov Mathematical Institute, Moscow, Russia

Geometries and GroupsTransl. Russian: M. Reid

This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky‘s non-Euclidean geom-etry. Each section is carefully motivated by discus-sion of the physical and general scientific implica-tions of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen‘s „Geometry and the imagination“ and Weyl‘s „Symmetry“.

1st ed. 1987. 2nd printing 1994. VIII, 254 p. 1 illus. (Universitext) SoftcoverISBN 978-3-540-15281-17 € 64,95 | £51.997 * € (D) 69,50 | € (A) 71,45 | sFr 108,00


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J. Nocedal, Northwestern University, Evanston, IL, USA; S. Wright, University of Wisconsin, WI, USA

Numerical OptimizationThe new edition of this book presents a compre-hensive and up-to-date description of the most effective methods in continuous optimization. It is enhanced by new chapters on nonlinear interior methods and derivative-free methods for optimization.

2nd ed. 2006. XXII, 664 p. 85 illus. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-30303-17 € 62,95 | £49.997 * € (D) 67,36 | € (A) 69,25 | sFr 90,50


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S. Novikov, Russian Academy of Sciences, Moscow, Russia S. Novikov, Russian Academy of Sciences, Moscow, Russia (Ed)

Topology IGeneral Survey

Transl. Russian: B. Botvinnik, R. Burns

This book constitutes nothing less than an up-to-date survey of the whole field of topology (with the exception of „general (set-theoretic) topol-ogy“), or, in the words of Novikov himself, of what was termed at the end of the 19th century „Analysis Situs“, and subsequently diversified into the various subfields of combinatorial, algebraic, differential, homotopic, and geometric topology.

Softcover reprint of hardcover 1st ed. 1996. VI, 320 p. 78 illus. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 12) SoftcoverISBN 978-3-642-05735-97 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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D. Nualart, University of Kansas, Lawrence, KS, USA

The Malliavin Calculus and Related TopicsThe Malliavin calculus (or stochastic calculus of variations) is an infinite-dimensional differential calculus on a Gaussian space. Originally, it was developed to provide a probabilistic proof to Hörmander‘s „sum of squares“ theorem, but it has found a wide range of applications in stochastic analysis. This monograph presents the main features of the Malliavin calculus and discusses in detail its main applications. The author begins by developing the analysis on the Wiener space, and then uses this to establish the regularity of prob-ability laws and to prove Hörmander‘s theorem.

Softcover reprint of hardcover 2nd ed. 2006. XIV, 382 p. Book (Paperback Initiative). (Probability and Its Applications) SoftcoverISBN 978-3-642-06651-17 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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B. Øksendal, University of Oslo, Norway; A. Sulem, INRIA Rocquencourt, Le Chesnay, France

Applied Stochastic Control of Jump DiffusionsHere is a rigorous introduction to solution meth-ods of stochastic control problems for jump diffu-sions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a section on optimal stopping with delayed information.

2nd ed. 2007. XIV, 262 p. 27 illus. (Universitext) SoftcoverISBN 978-3-540-69825-87 € 39,95 | £31.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50


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P. J. Olver, University of Minnesota, Minneapolis, MN, USA; A. Tannenbaum, Georgia Institute of Technology, Atlanta, GA, USA (Eds)

Mathematical Methods in Computer VisionThis volume comprises some of the key work presented at two IMA Workshops on Computer Vision during fall of 2000. Recent years have seen significant advances in the application of sophisticated mathematical theories to the problems arising in image processing. Basic issues include image smoothing and denoising, image enhancement, morphology, image compression, and segmentation (determining boundaries of objects-including problems of camera distortion and partial occlusion).

Softcover reprint of hardcover 1st ed. 2003. XII, 156 p. 86 illus. Book (Paperback Initiative). (The IMA Volumes in Mathematics and its Applications, Volume 133) SoftcoverISBN 978-1-4419-1826-07 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


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P. Orlik, H. Terao, University of Wisconsin, Madison, WI, USA

Arrangements of HyperplanesAn arrangement of hyperplanes is a finite col-lection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combina-torics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensive study of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the connections among the different aspects of the subject.



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E. Orlowska, National Institute of Telecommuncaitons, Warsaw, Poland; J. Golińska Pilarek, National Institute of Telecomuncations, Warsaw, Poland

Dual Tableaux: Foundations, Methodology, Case StudiesProviding a reference for researchers and students, this volume presents the fundamental concepts of dual tableaux, and a wide scope of applications. These include logic methods used in mathemat-ics and philosophy, as well as applied theories of computational logic.

2011. XVI, 524 p. (Trends in Logic, Volume 33) HardcoverISBN 978-94-007-0004-87 € 169,95 | £153.007 * € (D) 181,85 | € (A) 186,94 | sFr 244,00


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B. Pachpatte, Marathwada University, Aurangabad, India

Multidimensional Integral Equations and InequalitiesSince from more than a century, the study of vari-ous types of integral equations and inequalities has been focus of great attention by many research-ers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here.

2011. XV, 285 p. (Atlantis Studies in Mathematics for Engineering and Science, Volume 9) HardcoverISBN 978-94-91216-16-97 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 106,50


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E. Pap, Institute of Mathematics, University of Novi Sad, Yugoslavia

Complex Analysis through Examples and ExercisesThis volume on complex analysis offers an exposition of the theory of complex analysis via a comprehensive set of examples and exercises. The book is self-contained and the exposition of new notions and methods is introduced step by step. A minimal amount of expository theory is included at the beginning of each section in the Preliminar-ies, with maximum effort placed on well-selected examples and exercises capturing the essence of the material. The examples contain complete solutions and serve as a model for solving similar problems given in the exercises.

Softcover reprint of hardcover 1st ed. 1999. 352 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 21) SoftcoverISBN 978-90-481-5253-77 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 106,50


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A. Parshin, I. Shafarevich, Steklov Mathematical Institute, Moscow, Russia, CIS (Eds)

Algebraic Geometry IVLinear Algebraic Groups, Invariant Theory

With contrib. by: V. Popov, T. Springer, E. Vinberg

This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents a comprehensive survey, which contains numerous sketched proofs and he discusses the particular features of algebraic groups over special fields (finite, local, and global). The authors of part two, E.B. Vinberg and V.L. Popov, are among the most active researchers in invariant theory.

Softcover reprint of hardcover 1st ed. 1994. VII, 286 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 55) SoftcoverISBN 978-3-642-08119-47 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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A. Parshin, I. Shafarevich, Steklov Mathematical Institute, Moscow, Russia (Eds)

Number Theory IVTranscendental Numbers

Transl. Russian: N. Koblitz, With contrib. by: N. Fel‘dman, Y. Nesterenko

This book is a survey of the most important directions of research in transcendental number theory - the theory of irrationality, transcendence, and algebraic independence of various numbers. There is a special emphasis on the transcendence properties of the values of special functions. The book contains few complete proofs, but rather gives conceptual discussions of the central ideas behind the proofs.

Softcover reprint of hardcover 1st ed. 1998. VII, 345 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 44) SoftcoverISBN 978-3-642-08259-77 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


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V. Pascucci, University of Utah, Bountiful, UT, USA; X. Tricoche, Purdue University, West Lafayette, IN, USA; H. Hagen, University of Kaiserslautern, Germany; J. Tierny, CNRS, LTCI- Telecom ParisTech, Paris, France (Eds)

Topological Methods in Data Analysis and VisualizationTheory, Algorithms, and Applications

This book contains the best 20 peer-reviewed papers resulting from the discussions and pre-sentations at the third workshop on „Topological Methods in Data Analysis and Visualization“, held 2009 in Utah, US. It offers an important contribu-tion to the field.

2011. VIII, 260 p. (Mathematics and Visualization) HardcoverISBN 978-3-642-15013-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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A. Pascucci, University of Bologna, Italy

PDE and Martingale Methods in Option PricingThis detailed book offers an introduction to the mathematical, probabilistic and numerical meth-ods used in the modern theory of option pricing. It includes a full treatment of arbitrage theory in discrete and continuous time.

2011. XVIII, 720 p. 78 illus. (Bocconi & Springer Series) HardcoverISBN 978-88-470-1780-17 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 93,50


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G. Pavliotis, Imperial College London, UK; A. Stuart, University of Warwick, Coventry, UK

Multiscale MethodsAveraging and Homogenization

This introduction to multiscale methods explores both theory and applications. Examples show how to apply multiscale methods to solve a variety of problems. Exercises then enable readers to build their own skills and put them into practice.

Softcover reprint of hardcover 1st ed. 2008. XVIII, 310 p. Book (Paperback Initiative). (Texts in Applied Mathematics, Volume 53) SoftcoverISBN 978-1-4419-2532-97 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 62,00


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A. V. Pavlov, Norwegian University of Science and Technology, Trondheim, Norway; N. Wouw, H. Nijmeijer, Eindhoven University of Technology, Eindhoven, The Netherlands

Uniform Output Regulation of Nonlinear SystemsA Convergent Dynamics Approach

The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem is the output regulation problem, which can be used in such areas as set-point control, tracking reference signals and rejecting distur-bances generated by an external system, controlled synchronization of dynamical systems, and observer design for autonomous systems.

2006. XII, 172 p. 38 illus. (Systems & Control: Foundations & Applications) HardcoverISBN 978-0-8176-4445-17 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 80,00


9<HTLIMH=geeefb>

G. K. Pedersen, Copenhagen University, Copenhagen, Denmark

Analysis NowGraduate students in mathematics, who want to travel light, will find this book invaluable; impa-tient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras.

1st ed. 1989. Corr. 2nd printing 2001. XIV, 300 p. (Graduate Texts in Mathematics, Volume 118) HardcoverISBN 978-0-387-96788-27 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 93,50


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M. M. Peixoto, IMPA, Rio de Janeiro, RJ, Brasil; A. A. Pinto, University of Porto, Portugal; D. A. Rand, University of Warwick, Coventry, UK (Eds)

Dynamics, Games and Science IDYNA 2008, in Honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8‑12, 2008

Dynamics, Games and Science I and II are a selec-tion of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology.

2011. XXXII, 810 p. 168 illus., 66 in color. (Springer Proceedings in Mathematics, Volume 1) HardcoverISBN 978-3-642-11455-77 € 159,95 | £144.007 * € (D) 171,15 | € (A) 175,94 | sFr 229,50


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A. Pelsser, Erasmus University, Rotterdam, The Netherlands

Efficient Methods for Valuing Interest Rate DerivativesEfficient Methods for Valuing Interest Rate De-rivatives provides an overview of the models that can be used for valuing and managing interest rate derivatives. Split into two parts, the first discusses and compares the traditional models, such as spot- and forward-rate models, while the second concentrates on the more recently developed Market models. Unlike most of his competitors, the author‘s focus is not only on the mathemat-ics: Antoon Pelsser draws on his experience in industry to explore the practical issues, such as the implementation of models, and model selection.



9<HTMIPJ=jgigbe>

V. H. Peña, Columbia University, New York, NY, USA; T. L. Lai, Stanford University, Stanford, CA, USA; Q.‑M. Shao, Hong Kong University of Science and Technology, Hong Kong, China

Self-Normalized ProcessesLimit Theory and Statistical Applications

This volume covers recent developments in self-normalized processes, including self-normalized large and moderate deviations, and laws of the it-erated logarithms for self-normalized martingales.

Softcover reprint of hardcover 1st ed. 2009. XIII, 275 p. Book (Paperback Initiative). (Probability and Its Applications) SoftcoverISBN 978-3-642-09926-77 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 93,50


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J. Peters, University of Florida, Gainesville, FL, USA; U. Reif, TU Darmstadt, Germany

Subdivision SurfacesSince their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop ap-propriate mathematical tools for a thorough analy-sis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.

Softcover reprint of hardcover 1st ed. 2008. XVI, 204 p. 52 illus., 8 in color. Book (Paperback Initiative). (Geometry and Computing, Volume 3) SoftcoverISBN 978-3-642-09527-67 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTOGPC=ajfchg>









P. Petersen, University of California, Los Angeles, CA, USA

Riemannian GeometryThis comprehensive introduction to Rieman-nian Geometry offers a detailed and engaging account of the topic, plus numerous exercises and examples. It combines both the geometric parts of Riemannian geometry and the analytic aspects of the theory, and reviews the latest research.



9<HTMEPB=jcbcdj>

H. Pham, Université Paris 7 - Dennis Diderot, France

Continuous-time Stochastic Control and Optimization with Financial ApplicationsThis text provides a systematic treatment of sto-chastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations and martingale duality methods.

Softcover reprint of hardcover 1st ed. 2009. XVII, 232 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 61) SoftcoverISBN 978-3-642-10044-47 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 66,50


9<HTOGPC=baaeee>

G. M. Phillips, University of St. Andrews, UK

Interpolation and Approximation by PolynomialsThis book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalcu-lus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multi-variate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks.

2003. XIV, 312 p. 22 illus. Book (Paperback Initiative). (CMS Books in Mathematics) SoftcoverISBN 978-1-4419-1810-97 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 116,50


9<HTMEPB=jbibaj>

M. Pietikäinen, A. Hadid, G. Zhao, University of Oulu, Oulu, Finland; T. Ahonen, Nokia Research Center, Palo Alto, CA, USA

Computer Vision Using Local Binary PatternsWritten by the pioneers of local binary patterns, and including a wealth of illustrations, this book gives those working with LBPs a single-source, comprehensive resource on the uses of LBP methodology, in both spatial and spatiotemporal domains.

2011. XV, 209 p. 87 illus., 56 in color. (Computational Imaging and Vision, Volume 40) HardcoverISBN 978-0-85729-747-17 € 79,95 | £69.957 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


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A. Pignedoli, Università di Firenze, Italy (Ed)

Some Aspects of Diffusion TheoryLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, September 9‑27,1966

V.C.A. Ferraro: Diffusion of ions in a plasma with applications to the ionosphere.- P.C. Kendall: On the diffusion in the atmosphere and ionosphere.-F. Henin: Kinetic equations and Brownian mo-tion.- T. Kahan:Théorie des réacteurs nucléaires: méthodes de résolution perturbationnelles, interactives et variationnelles.- C. Cattaneo: Sulla conduzione del calore.- C. Agostinelli: Formule di Green per la diffusione del campo magnetico in un fluido elettricamente conduttore.

Reprint of the 1st. Ed. C.I.M.E., Ed. Cremonese, Roma, 1967. 2011. 550 p. 82 illus. (C.I.M.E. Summer Schools (closed), Volume 42) SoftcoverISBN 978-3-642-11050-47 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOGPC=bbafae>E. Platen, University of Technology Sydney, NSW, Australia; D. Heath, Australian National University, Canberra, Australia

A Benchmark Approach to Quantitative FinanceThe benchmark approach provides a general framework for financial market modeling, which extends beyond the standard risk-neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. The existence of an equivalent risk-neutral pricing measure is not required. Instead, it leads to pricing formulae with respect to the real-world probability measure. This yields important modeling freedom which turns out to be necessary for the derivation of realistic, parsimonious market models.

Softcover reprint of hardcover 1st ed. 2006. XVI, 700 p. 199 illus. Book (Paperback Initiative). (Springer Finance) SoftcoverISBN 978-3-642-06565-17 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 116,50


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Y. Pochet, L. A. Wolsey, Université Catholique de Louvain, Belgium

Production Planning by Mixed Integer ProgrammingThis book provides an introduction to MIP modeling and to planning systems, a unique col-lection of reformulation results, and an easy to use problem-solving library. This approach is dem-onstrated through a series of real life case studies, exercises and detailed illustrations.

Softcover reprint of hardcover 1st ed. 2006. XXIV, 500 p. Book (Paperback Initiative). (Springer Series in Operations Research and Financial Engineering) SoftcoverISBN 978-1-4419-2132-17 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


9<HTMEPB=jcbdcb>

R. Porzel, University of Bremen, Germany

Contextual ComputingModels and Applications

This book uses the latest in knowledge representa-tion and human-computer interaction to address the problem of contextual computing in artificial intelligence. It uses high-level context to solve some challenging problems in natural language understanding.

2011. XII, 180 p. (Cognitive Technologies) HardcoverISBN 978-3-642-17395-07 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00


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H. Pottmann, KAUST, Saudi Arabia, and Technical University of Vienna, Austria; J. Wallner, Technical University of Graz, Austria

Computational Line GeometryThe geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface re-construction for reverse engineering, geometrical optics, kinematics and motion design, and model-ing of developable surfaces. This book covers line geometry from various viewpoints and aims towards computation and visualization. Besides applications, it contains a tutorial on projective geometry and an introduction into the theory of smooth and algebraic manifolds of lines.

1st ed. 2001. 2nd printing 2010. X, 563 p. 264 illus., 17 in color. (Mathematics and Visualization) SoftcoverISBN 978-3-642-04017-77 € 114,95 | £103.507 * € (D) 123,00 | € (A) 126,45 | sFr 153,50


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A. Prestel, Universität Konstanz, Germany; C. N. Delzell, Louisiana State University, Baton Rouge, LA, USA

Mathematical Logic and Model TheoryA Brief Introduction

This book presents, in a self-contained manner, the essential aspects of model theory needed to understand model theoretic algebra. Includes a complete proof of Ax and Kochen‘s work on Artin‘s conjecture about Diophantine properties of p-adic number fields.

2011. X, 194 p. (Universitext) SoftcoverISBN 978-1-4471-2175-67 € 49,95 | £29.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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E. Presutti, Università di Roma Tor Vergata, Rome, Italy

Scaling Limits in Statistical Mechanics and Microstructures in Continuum MechanicsFocusing on the links connecting statistical and continuum mechanics, this book introduces both theories before leading on to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.

Softcover reprint of hardcover 1st ed. 2009. XVI, 470 p. Book (Paperback Initiative). (Theoretical and Mathematical Physics) SoftcoverISBN 978-3-642-09236-77 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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C. Procesi, Università di Roma „La Sapienza“, Italy

Lie GroupsAn Approach through Invariants and Representations

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi‘s masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduc-tion to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.

2007. XXIV, 600 p. 18 illus. (Universitext) SoftcoverISBN 978-0-387-26040-27 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


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G. Prodi, Universitá di Pisa, Italy (Ed)

Problems in Non-Linear AnalysisLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 20‑29, 1970

H. Brezis: Propriétés régularisantes de certains semigroupes et applications.- F. Browder: Normal solvability and existence theorems for nonlinear mappings in Banach spaces.- F. Browder: Normal solvability for nonlinear mappings and the geom-etry of Banach spaces.- J. Eells, K.D. Elworthy: Wiener integration on certain manifolds.- W.H. Fleming: Nonlinear partial differential equations - Probabilistic and game theoretic methods.- C.

Reprint of the 1st. ed. C.I.M.E., Ed. Cremonese, Roma, 1971. 2011. IV, 574 p. 7 illus. (C.I.M.E. Summer Schools (closed), Volume 55) SoftcoverISBN 978-3-642-10996-67 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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M. H. Protter, University of California, Berkeley, CA, USA; C. B. Morrey

A First Course in Real AnalysisMany changes have been made in this second edi-tion of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-num-bered exercises. The book‘s readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

2nd ed. 1991. Corr. 4th printing 1997 1991. XVIII, 536 p. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-97437-87 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50


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P. Protter, Cornell University, Ithaca, NY, USA

Stochastic Integration and Differential EquationsVersion 2.1

It has been 15 years since the first edition of Stochastic Integration and Differential Equations, A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integ-ration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it „a new approach“.

Softcover reprint of hardcover 2nd ed. 2003. XIII, 419 p. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 21) SoftcoverISBN 978-3-642-05560-77 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 116,50


9<HTOGPC=affgah>C. C. Pugh, University of California at Berkeley, Berkeley, CA, USA

Real Mathematical AnalysisWas plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analy-sis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathema-tician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems.

Softcover reprint of hardcover 1st ed. 2002. XII, 440 p. 133 illus. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2941-97 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50


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R. Pytlak, Warsaw University of Technology, Warszawa, Poland

Conjugate Gradient Algorithms in Nonconvex OptimizationThis book details algorithms for large-scale uncon-strained and bound constrained optimization. It shows optimization techniques from a conjugate gradient algorithm perspective as well as methods of shortest residuals, which have been developed by the author.

Softcover reprint of hardcover 1st ed. 2009. XXVI, 477 p. 95 illus. Book (Paperback Initiative). (Nonconvex Optimization and Its Applications (closed), Volume 89) SoftcoverISBN 978-3-642-09925-07 € 134,95 | £121.507 * € (D) 144,40 | € (A) 148,45 | sFr 180,00


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A. Quarteroni, R. Sacco, Politecnico di Milano, Milan, Italy; F. Saleri, Universitá di Milano, Milan, Italy

Numerical MathematicsThe improved second edition of this book pro-vides the mathematical foundations of numerical methods. It demonstrates their performance on examples, exercises and real-life applications using the MATLAB software environment.

Softcover reprint of hardcover 2nd ed. 2007. XVIII, 657 p. 135 illus. Book (Paperback Initiative). (Texts in Applied Mathematics, Volume 37) SoftcoverISBN 978-3-642-07101-07 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 101,00


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M. Rappaz, Laboratory of Physical Metallurgy, Lausanne, Switzerland; M. Bellet, Ecole de Mines de Paris, Sophia Antipolis, France; M. Deville, Swiss Federal Institute of Technology, Lausanne, Switzerland

Numerical Modeling in Materials Science and EngineeringTransl. French: R. Snyder

This book introduces the concepts and meth-odologies related to the modelling of complex phenomena occurring in materials processing, developing finite differences, finite volumes and finite elements through phase transformation, solid mechanics and fluid flow.

1st. ed. 2003. 2nd printing 2010. XI, 540 p. 286 illus. (Springer Series in Computational Mathematics, Volume 32) SoftcoverISBN 978-3-642-11820-37 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


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S. I. Resnick, Cornell University, Ithaca, NY, USA

Extreme Values, Regular Variation, and Point ProcessesThis book is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of ex-treme values of phenomena based on independent and identically distributed random variables and vectors.

1st ed. 1987. 2nd printing 2007 1987. XIV, 320 p. (Springer Series in Operations Research and Financial Engineering) SoftcoverISBN 978-0-387-75952-47 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 60,00


9<HTLDTH=hfjfce>

S. I. Resnick, Cornell University, Ithaca, NY, USA

Heavy-Tail PhenomenaProbabilistic and Statistical Modeling

This text gives an interesting and useful blend of the mathematical, probabilistic and statistical tools used in heavy-tail analysis. It is uniquely devoted to heavy-tails and emphasizes both prob-ability modeling and statistical methods for fitting models.

Softcover reprint of hardcover 1st ed. 2007. XIX, 404 p. Book (Paperback Initiative). (Springer Series in Operations Research and Financial Engineering) SoftcoverISBN 978-1-4419-2024-97 € 46,95 | £37.997 * € (D) 50,24 | € (A) 51,65 | sFr 78,00


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D. J. Robinson, University of Illinois, Urbana, IL, USA

A Course in the Theory of GroupsA Course in the Theory of Groups is a comprehen-sive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book.

2nd ed. 1996. XVIII, 524 p. 1 illus. (Graduate Texts in Mathematics, Volume 80) HardcoverISBN 978-0-387-94461-67 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00


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R. T. Rockafellar, University of Washington, Seattle, WA, USA; R. J.‑B. Wets, University of California at Davis, Davis, CA, USA

Variational AnalysisDrawings by: M. Wets

From its origins in the minimization of integral functionals, the notion of ‚variations‘ has evolved greatly in connection with applications in optimi-zation, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approxima-tion that are best describable by ‚set convergence‘, variational convergence of functions and the like.

Softcover reprint of hardcover 1st ed. 1998. XIV, 736 p. 151 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 317) SoftcoverISBN 978-3-642-08304-47 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 202,00


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S. Roman, California State University, Fullerton, CA, USA

Introduction to the Mathematics of FinanceFrom Risk Management to Options Pricing

An elementary introduction to probability and mathematical finance including a chapter on the Capital Asset Pricing Model (CAPM), a topic that is very popular among practitioners and econo-mists. Dr. Roman has authored 32 books, inclu-ding a number of books on mathematics, such as Coding and Information Theory, Advanced Linear Algebra, and Field Theory, published by Springer-Verlag.

2004. XV, 354 p. 10 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-21364-47 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00


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R. Ronfard, INRIA, Monbonnot, France; G. Taubin, Brown University, Providence, RI, USA (Eds)

Image and Geometry Processing for 3-D CinematographyThis book offers a closeup view of 3-D cinematog-raphy, the science and technology of generating 3-D models of dynamic scenes from multiple cameras at video frame rates. Coverage includes numerous techniques and applications for this exciting new technology.

2010. X, 305 p. 162 illus., 115 in color. (Geometry and Computing, Volume 5) HardcoverISBN 978-3-642-12391-77 € 102,95 | £93.007 * € (D) 110,16 | € (A) 113,25 | sFr 137,50


9<HTOGPC=bcdjbh>

H.‑G. Roos, Technical University Dresden, Germany; M. Stynes, University College Cork, Ireland; L. Tobiska, Otto-von-Guericke Universität Magdeburg, Germany

Robust Numerical Methods for Singularly Perturbed Differential EquationsConvection‑Diffusion‑Reaction and Flow Problems

This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.

Softcover reprint of hardcover 2nd ed. 2008. XIV, 604 p. 41 illus. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 24) SoftcoverISBN 978-3-642-07082-27 € 102,95 | £93.007 * € (D) 110,16 | € (A) 113,25 | sFr 137,50


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J. J. Rotman, University of Illinois at Urbana-Champaign, Urbana, IL, USA

An Introduction to the Theory of GroupsAnyone who has studied „abstract algebra“ and linear algebra as an undergraduate can understand this book. This edition has been completely re-vised and reorganized, without however losing any of the clarity of presentation that was the hallmark of the previous editions.

4th ed. 1995. Corr. 2nd printing 1999. XV, 517 p. (Graduate Texts in Mathematics, Volume 148) HardcoverISBN 978-0-387-94285-87 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00


9<HTLDTH=jecifi>

B. Rozovskii

Stochastic Evolution SystemsLinear Theory and Applications to Non‑linear Filtering

Related subjects » Dynamical Systems & Differen-tial Equations. Electronics & Electrical Engineer-ing. Probability Theory and Stochastic Processes. Theoretical, Mathematical & Computational Physics.

1991. 340 p. (Mathematics and its Applications, Volume 35) HardcoverISBN 978-0-7923-0037-37 € 309,00 | £278.507 * € (D) 330,63 | € (A) 339,90 | sFr 411,50


9<HTLHUC=daadhd>

Y. B. Rudyak, University of Heidelberg, Germany

On Thom Spectra, Orientability, and CobordismFor many years, algebraic topology rests on three legs: „ordinary“ cohomology, K-theory, and cobordism. This book is the first guide on the subject of cobordism since R. Stong‘s encyclopae-dic and influential notes of a generation ago. It concentrates on Thom spaces (spectra), orient-ability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories), framed by (co)homology the-ories and spectra. From the Foreword by Haynes Miller The author has also performed a service to the history of science in this book, giving detailed attributions.

Softcover reprint of hardcover 1st ed. 1998. XII, 587 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08283-27 € 159,95 | £144.007 * € (D) 171,15 | € (A) 175,95 | sFr 213,00


9<HTOGPC=aicidc>

M. Sabin, Numerical Geometry Ltd, United Kingdom

Analysis and Design of Univariate Subdivision SchemesThis book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. It then considers how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application.

2010. XIV, 218 p. (Geometry and Computing, Volume 6) HardcoverISBN 978-3-642-13647-47 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


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G. E. Sacks, Harvard University, Cambridge, MA, USA

Higher Recursion TheoryHyperarithmetic theory is the first step beyond classical recursion theory. It is the primary source of ideas and examples in higher recursion theory. It is also a crossroad for several areas of math-ematical logic: in set theory it is an initial segment of Godel‘s L; in model theory, the least admissible set after ; in descriptive set theory, the setting for effective arguments. In this book, hyperarithmetic theory is developed at length and used to lift clas-sical recursion theory from integers to recursive ordinals (metarecursion). Two further liftings are then made, first ordinals ( -recursion) and then to sets (E-recursion). Techniques such as finite and infinite injury, forcing and fine structure and extended and combined Dynamic and syntactical methods are contrasted.

Softcover reprint of hardcover 1st ed. 1990. XVI, 348 p. Book (Paperback Initiative). (Perspectives in Mathematical Logic) SoftcoverISBN 978-3-642-05742-77 € 121,45 | £96.007 * € (D) 129,95 | € (A) 133,60 | sFr 202,00


9<HTOGPC=afhech>E. B. Saff, University of South Florida, Tampa, FL, USA; V. Totik, Jozsef Attial University, Szeged, Hungary

Logarithmic Potentials with External FieldsThis treatment of potential theory emphasizes the effects of an external field (or weight) on the mini-mum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified approach to seemingly different problems in constructive analysis.

Softcover reprint of hardcover 1st ed. 1997. XV, 505 p. 18 illus. Book (Paperback Initiative). (Grundlehren der mathematischen Wissenschaften, Volume 316) SoftcoverISBN 978-3-642-08173-67 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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B. E. Sagan, Michigan State University, East Lansing, MI, USA

The Symmetric GroupRepresentations, Combinatorial Algorithms, and Symmetric Functions

This text is an introduction to the representa-tion theory of the symmetric group from three different points of view: via general representa-tion theory, via combinatorial algorithms, and via symmetric functions. It is the only book to deal with all three aspects of this subject at once. The style of presentation is relaxed yet rigorous and the prerequisites have been kept to a minimum--un-dergraduate courses in linear algebra and group theory will suffice.

Softcover reprint of hardcover 2nd ed. 2001. XV, 238 p. 31 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 203) SoftcoverISBN 978-1-4419-2869-67 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 70,00


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N. Saveliev, University of Miami, Coral Gables, FL, USA R. Gamkrelidze, A. Vassiiev (Eds)

Invariants of Homology 3-SpheresHomology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geo-metric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories.

Softcover reprint of hardcover 1st ed. 2002. XII, 224 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 140) SoftcoverISBN 978-3-642-07849-17 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


9<HTOGPC=ahiejb>

K. Saxe, Macalester College, St. Paul, MN, USA

Beginning Functional AnalysisThe unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators as linear transformations on these spaces. It has been the author‘s goal to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed first courses in linear algebra and real analysis, and to develop the topics in their historical context. Bits of pertinent history are scattered throughout the text; in ad-dition, an appendix contains brief biographies of some of the central players in the development of functional analysis.



9<HTMEPB=jcjbed>

W. Scharlau, H. Opolka

From Fermat to MinkowskiLectures on the Theory of Numbers and Its Historical DevelopmentTranslated from the German by Bühler, W.K.; Cornell, G.

Transl. German: W. Bühler, G. Cornell

Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gauss‘s 1838 letter to Dirichlet.

1985. 204 p. Book (Paperback Initiative). (Undergraduate Texts in Mathematics) SoftcoverISBN 978-1-4419-2821-47 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50


9<HTMEPB=jcicbe>









W. H. Schilders, NXP Semiconductors, Eindhoven, The Netherlands; H. A. Vorst, Utrecht University, The Netherlands; J. Rommes, NXP Semiconductors, Eindhoven, The Netherlands (Eds)

Model Order Reduction: Theory, Research Aspects and ApplicationsThe goal of this book is to describe the basics of model order reduction and related aspects. This is a high-quality book on industrial mathematics by one of the major research consortia in this field.

2008. XII, 472 p. 133 illus., 53 in color. (Mathematics in Industry / The European Consortium for Mathematics in Industry, Volume 13) HardcoverISBN 978-3-540-78840-97 € 114,95 | £103.507 * € (D) 123,00 | € (A) 126,45 | sFr 153,50


9<HTOFPA=hiieaj>

P. Schneider, University of Münster, Germany

Nonarchimedean Functional AnalysisThe present book is a self-contained text which leads the reader through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. One can observe an increasing interest in methods from nonarchime-dean functional analysis, particularly in number theory and in the representation theory of p-adic reductive groups. The book gives a concise and clear account of this theory, it carefully lays the foundations and also develops the more advanced topics.

Softcover reprint of hardcover 1st ed. 2002. VII, 156 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-07640-47 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTOGPC=ahgeae>

W. M. Seiler, University of Kassel, Germany

InvolutionThe Formal Theory of Differential Equations and its Applications in Computer Algebra

The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinato-rial ideas.

2010. XXII, 650 p. (Algorithms and Computation in Mathematics, Volume 24) HardcoverISBN 978-3-642-01286-07 € 114,95 | £103.507 * € (D) 123,00 | € (A) 126,45 | sFr 153,50


9<HTOGPC=abciga>

R. Seroul, Universite Louis Pasteur, Strasbourg, France

Programming for MathematiciansTransl. French: D. O‘Shea

The aim of this book is to teach mathematics students how to program using their knowledge of mathematics. For this they require only to know how to construct a proof. The entire book‘s em-phasis is on „how to think“ when programming. Three methods for constructing an algorithm or a program are used: a) manipulation and enrichment of existing code; b) use of recurrent sequences; c) deferral of code writing, in order to deal with one difficulty at a time. Many theorems are mathematically proved and programmed.

2000. XVI, 432 p. 8 illus. (Universitext) SoftcoverISBN 978-3-540-66422-27 € 42,95 | £33.997 * € (D) 45,96 | € (A) 47,25 | sFr 71,50


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J.‑P. Serre, College de France, Paris, France

Local AlgebraTransl. French: C. Chin

This is an English translation of the now classic „Algèbre Locale - Multiplicités“ originally pub-lished by Springer as LNM 11, in several editions since 1965. It gives a short account of the main theorems of commutative algebra, with emphasis on modules, homological methods and intersec-tion multiplicities („Tor-formula“). Many modi-fications to the original French text have been made by the author for this English edition: they make the text easier to read, without changing its intended informal character.

2000. XIII, 130 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08590-17 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTOGPC=aifjab>

J.‑P. Serre

A Course in ArithmeticA modern introduction to three areas of number theory: quadratic forms, Dirichlet‘s density theo-rem and modular forms. „... Accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it.“ - American Scientist.

1st Corrected ed. 1973. Corr. 3rd printing 1973. IX, 118 p. (Graduate Texts in Mathematics, Volume 7) HardcoverISBN 978-0-387-90040-77 € 49,95 | £43.997 * € (D) 53,45 | € (A) 54,95 | sFr 75,00


9<HTLDTH=jaaeah>









G. Shimura, Princeton University, Princeton , NJ, USA

Elementary Dirichlet Series and Modular FormsThis book treats its two subjects, Dirichlet series and modular forms, in both orthodox and unorth-odox ways. Regardless of the unorthodox treat-ment, the author has made the book accessible to those who are not familiar with such topics.

Softcover reprint of hardcover 1st ed. 2007. VIII, 152 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-1-4419-2478-07 € 46,95 | £42.997 * € (D) 50,24 | € (A) 51,65 | sFr 73,00


9<HTMEPB=jcehia>

S. Shreve, Carnegie Mellon University, Pittsburgh, PA, USA

Stochastic Calculus for Finance IThe Binomial Asset Pricing Model

Developed for the professional Master‘s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several years Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance

2004. XVI, 188 p. 33 illus. (Springer Finance / Springer Finance Textbooks) HardcoverISBN 978-0-387-40100-37 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 63,50


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A. H. Siddiqi, Dept. of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, and Aligarh Muslim University, India; M. Kocvara, Institute of Applied Mathematics, University of Erlangen, Germany (Eds)

Trends in Industrial and Applied MathematicsProceedings of the 1st International Conference on Industrial and Applied Mathematics of the Indian Subcontinent

2002. 380 p. (Applied Optimization, Volume 72) HardcoverISBN 978-1-4020-0751-47 € 139,95 | £126.007 * € (D) 149,75 | € (A) 153,95 | sFr 186,50


9<HTMELC=aahfbe>

K. Siddiqi, McGill University, Montreal, QC, Canada; S. Pizer, University of North Carolina, Chapel Hill, NC, USA (Eds)

Medial RepresentationsMathematics, Algorithms and ApplicationsWith contributions by numerous experts

Offering a consolidated account on medial rep-resentations, this book will serve the science and engineering communities using medial models and will provide learning material for students entering this field.

Softcover reprint of hardcover 1st ed. 2008. XVIII, 440 p. 204 illus., 84 in color. Book (Paperback Initiative). (Computational Imaging and Vision, Volume 37) SoftcoverISBN 978-90-481-7946-67 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 113,50


9<HTUAPI=bhjegg>

J. H. Silverman, Brown University, Providence, RI, USA

The Arithmetic of Elliptic CurvesThe theory of elliptic curves is distinguished by the diversity of the methods used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry.

Softcover reprint of hardcover 2nd ed. 2009. XX, 514 p. 14 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 106) SoftcoverISBN 978-1-4419-1858-17 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50


9<HTMEPB=jbifib>

J. H. Silverman, Brown University, Providence, RI, USA

Advanced Topics in the Arithmetic of Elliptic CurvesIn The Arithmetic of Elliptic Curves, the author presented the basic theory culminating in two fundamental global results, the Mordell-Weil theorem on the finite generation of the group of rational points and Siegel‘s theorem on the finiteness of the set of integral points. This book continues the study of elliptic curves by present-ing six important, but somewhat more special-ized topics: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV.

Softcover reprint of the original 1st ed. 1994. XIII, 525 p. 5 illus. (Graduate Texts in Mathematics, Volume 151) SoftcoverISBN 978-0-387-94328-27 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 70,00


9<HTLDTH=jedcic>









J. Silverman, Brown University, Providence, RI, USA

The Arithmetic of Dynamical SystemsThis book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the num-ber theoretic properties of points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

Softcover reprint of hardcover 1st ed. 2007. XVI, 511 p. 11 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 241) SoftcoverISBN 978-1-4419-2417-97 € 39,95 | £31.997 * € (D) 42,75 | € (A) 43,95 | sFr 66,50


9<HTMEPB=jcebhj>D. A. Singer, Case Western Reserve University, Cleveland, OH, USA

Geometry: Plane and FancyA fascinating tour through parts of geometry stu-dents are unlikely to see in the rest of their studies while, at the same time, anchoring their excursi-ons to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interes-ting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not.

1998. X, 159 p. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98306-67 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00


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K. E. Smith, University of Michigan, Ann Arbor, MI, USA; L. Kahanpää, University of Jyvaeskylae, Finland; P. Kekäläinen, University of Kuopio, Finland; W. Traves, US Naval Academy, Anapolis, MD, USA

An Invitation to Algebraic GeometryThe aim of this book is to describe the underly-ing principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamil-iar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.

Softcover reprint of hardcover 1st ed. 2000. XVI, 184 p. 44 illus. Book (Paperback Initiative). (Universitext) SoftcoverISBN 978-1-4419-3195-57 € 44,95 | £39.997 * € (D) 48,10 | € (A) 49,45 | sFr 70,00


9<HTMEPB=jdbjff>J. Snyman, University of Pretoria, South Africa

Practical Mathematical OptimizationAn Introduction to Basic Optimization Theory and Classical and New Gradient‑Based Algorithms

This book presents basic optimization principles and gradient-based algorithms to a general audi-ence in a brief and easy-to-read form, without ne-glecting rigor. The work should enable profession-als to apply optimization theory and algorithms to their own particular practical fields of interest, be it engineering, physics, chemistry, or business economics.

1st ed. 2005. Corr. 2nd printing 2005. XX, 258 p. (Applied Optimization, Volume 97) SoftcoverISBN 978-0-387-29824-57 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 103,50


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J. M. Steele, University of Pennsylvania, PA, USA

Stochastic Calculus and Financial ApplicationsThis book is designed for students who want to develop professional skills in stochastic calculus and its application to problems in finance. The Wharton School course on which the book is based is designed for energetic students who have had some experience with probability and statistics, but who have not had advanced courses in stochastic processes. Even though the course assumes only a modest background, it moves quickly and - in the end - students can expect to have the tools that are deep enough and rich enough to be relied upon throughout their profes-sional careers.

Softcover reprint of the original 1st ed. 2001. X, 302 p. 3 illus. Book (Paperback Initiative). (Stochastic Modelling and Applied Probability, Volume 45) SoftcoverISBN 978-1-4419-2862-77 € 74,95 | £66.997 * € (D) 80,20 | € (A) 82,45 | sFr 114,00


9<HTMEPB=jcigch>H. Stichtenoth, Sabanci University, Istanbul, Turkey

Algebraic Function Fields and CodesThis is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.

Softcover reprint of hardcover 2nd ed. 2008. XIII, 355 p. 14 illus. Book (Paperback Initiative). (Graduate Texts in Mathematics, Volume 254) SoftcoverISBN 978-3-642-09556-67 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 62,00


9<HTOGPC=ajffgg>









J. Stillwell, University of San Francisco, CA, USA

The Four Pillars of GeometryThis book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly sup-plemented with figures and exercises



9<HTMEPB=jcagdi>

D. W. Stroock, Massachusetts Institute of Technology, Cambridge, MA, USA

An Introduction to Markov ProcessesProvides a more accessible introduction than other books on Markov processes by emphasi-zing the structure of the subject and avoiding sophisticated measure theory Leads the reader to a rigorous understanding of basic theory

2005. XIV, 178 p. (Graduate Texts in Mathematics, Volume 230) HardcoverISBN 978-3-540-23499-97 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50


9<HTOFPA=cdejjj>

M. Struwe, ETH Zürich, Switzerland

Variational MethodsApplications to Nonlinear Partial Differential Equations and Hamiltonian Systems

Hilbert‘s talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau‘s problem by Douglas and Radó.

Softcover reprint of hardcover 4th ed. 2008. XX, 302 p. Book (Paperback Initiative). (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 34) SoftcoverISBN 978-3-642-09329-67 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 173,00


9<HTOGPC=ajdcjg>

M. Takesaki, University of California, Los Angeles, CA, USA

Theory of Operator Algebras IIITogether with „Theory of Operator Algebras I, II“ (EMS 124 and 125), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automor-phisms and the structure analysis. It is is part of the recently developed part of the „Encyclopaedia of Mathematical Sciences“ on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book pro-vides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

2003. XXII, 548 p. (Encyclopaedia of Mathematical Sciences, Volume 127) HardcoverISBN 978-3-540-42913-57 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


9<HTOFPA=ecjbdf>

M. Takesaki, University of California, Los Angeles, CA, USA

Theory of Operator Algebras IIITogether with „Theory of Operator Algebras I, II“ (EMS 124 and 125), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automor-phisms and the structure analysis. It is is part of the recently developed part of the „Encyclopaedia of Mathematical Sciences“ on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book pro-vides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Softcover reprint of hardcover 1st ed. 2003. XXII, 548 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 127) SoftcoverISBN 978-3-642-07688-67 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


9<HTOGPC=ahgiig>M. Takesaki, University of California, Los Angeles, CA, USA

Theory of Operator Algebras IITogether with „Theory of Operator Algebras I, III“ (EMS 124 and 127), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neu-mann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is part of the recently devel-oped part of the „Encyclopaedia of Mathematical Sciences“ on operator algebras and non-commuta-tive geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Softcover reprint of hardcover 1st ed. 2003. XXII, 518 p. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 125) SoftcoverISBN 978-3-642-07689-37 € 124,95 | £112.507 * € (D) 133,70 | € (A) 137,45 | sFr 166,50


9<HTOGPC=ahgijd>









M. Talagrand, Michel Talagrand, Université Paris 6, France

The Generic ChainingUpper and Lower Bounds of Stochastic Processes

The fundamental question of characterizing continuity and boundedness of Gaussian processes goes back to Kolmogorov. After essential contribu-tions by R. Dudley and X. Fernique, it was solved by the author in 1985. This advance was followed by a great improvement of our understanding of the boundedness of other fundamental classes of processes (empirical processes, infinitely divisible processes, etc.) This challenging body of work has now been considerably simplified through the notion of „generic chaining“, a completely natural variation on the ideas of Kolmogorov.

Softcover reprint of hardcover 1st ed. 2005. VIII, 222 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-06386-27 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 146,50


9<HTOGPC=agdigc>

M. Talagrand, Université Paris, France

Mean Field Models for Spin GlassesVolume I: Basic Examples

This rigorous introduction to an exciting new research domain is aimed at the mathematically minded and requires no knowledge of any physics. In a new and reworked edition, this first volume presents six fundamental models and the tech-niques to study them.

2nd, rev. and enlarged ed. 2011. XVIII, 486 p. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, Volume 54) HardcoverISBN 978-3-642-15201-67 € 139,95 | £126.007 * € (D) 149,75 | € (A) 153,94 | sFr 201,00


9<HTOGPC=bfcabg>

L. Tartar, Carnegie Mellon University, Pittsburgh, PA, USA

An Introduction to Sobolev Spaces and Interpolation SpacesAfter publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lec-ture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.

2007. XXVI, 220 p. (Lecture Notes of the Unione Matematica Italiana, Volume 3) SoftcoverISBN 978-3-540-71482-87 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


9<HTOFPA=hbeici>

E. A. Tevelev, University of Texas at Austin, TX, USA

Projective Duality and Homogeneous SpacesProjective duality is a very classical notion naturally arising in various areas of mathemat-ics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras.

Softcover reprint of hardcover 1st ed. 2005. XIV, 250 p. 7 illus. Book (Paperback Initiative). (Encyclopaedia of Mathematical Sciences, Volume 133) SoftcoverISBN 978-3-642-06172-17 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 160,00


9<HTOGPC=agbhcb>

V. Thomee, Chalmers University of Technology, Göteborg, Sweden

Galerkin Finite Element Methods for Parabolic ProblemsThis book provides insight in the mathematics of Galerkin finite element method as applied to parabolic equations. The approach is based on first discretizing in the spatial variables by Galerkin‘s method, using piecewise polynomial trial functions, and then applying some single step or multistep time stepping method. The concern is stability and error analysis of approximate solutions in various norms, and under various regularity assumptions on the exact solution. The book gives an excellent insight in the present ideas and methods of analysis.

Softcover reprint of hardcover 2nd ed. 2006. XII, 370 p. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 25) SoftcoverISBN 978-3-642-06967-37 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 173,00


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L. W. Tu, Tufts University, Medford, MA, USA

An Introduction to ManifoldsAn Introduction to Manifolds presents the theory of manifolds with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book, the reader will have the abil-ity to compute one of the most basic topological invariants of a manifold, its de Rham cohomology.

2nd ed. 2011. XVIII, 410 p. 124 illus., 1 in color. (Universitext) SoftcoverISBN 978-1-4419-7399-37 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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A. Tveito, Simula Research Laboratory, Lysaker, Norway; R. Winther, University of Oslo, Norway

Introduction to Partial Differential EquationsA Computational Approach

This is the softcover reprint of a popular book teaching the basic analytical and computational methods of partial differential equations. It in-cludes coverage of standard topics such as separa-tion of variables, Fourier analysis, and energy estimates.

1st ed. 1998. Corr. 2nd printing 2005. XVI, 394 p. (Texts in Applied Mathematics, Volume 29) HardcoverISBN 978-3-540-22551-57 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00


9<HTOFPA=ccffbf>

A. Üstünel, Ecole Nationale Superieure des Telecommunications, Paris, France; M. Zakai, Technion-Israel Institute of Technology, Haifa, Israel

Transformation of Measure on Wiener SpaceThis book gives a systematic presentation of the main results on the transformation of measure induced by shift transformations on Wiener space. This topic has its origins in the work of Cameron and Martin (anticipative shifts, 1940‘s) and that of Girsanov (non-anticipative shifts, 1960‘s). It played an important role in the development of non-anticipative stochastic calculus and itself developed under the impulse of the stochastic calculus of variations.

Softcover reprint of hardcover 1st ed. 2000. XIV, 298 p. Book (Paperback Initiative). (Springer Monographs in Mathematics) SoftcoverISBN 978-3-642-08572-77 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00


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D. Valcan, C. Pelea, C. Modoi, S. Breaz, G. Calugareanu, Babes-Bolyai University, Cluj-Napoca, Romania

Exercises in Abelian Group TheoryThis is the first book on Abelian Group Theory (or Group Theory) to cover elementary results in Abe-lian Groups. It contains comprehensive coverage of almost all the topics related to the theory and is designed to be used as a course book for students at both undergraduate and graduate level.

Softcover reprint of hardcover 1st ed. 2003. XII, 351 p. Book (Paperback Initiative). (Texts in the Mathematical Sciences (closed), Volume 25) SoftcoverISBN 978-90-481-6249-97 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 100,00


9<HTUAPI=bgcejj>

R. S. Varga, Kent State University, Kent, OH, USA

Geršgorin and His CirclesThis book studies the original results, and their extensions, of the Russian mathematician, S.A. Geršgorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given n-by-n com-plex matrix. Since the publication of this paper, there has been many newer results spawned by his paper, and this book will be the first which is de-voted solely to this resulting area. As such, it will include the latest research results, such as Brauer ovals of Cassini and Brualdi lemniscates, and their comparisons. This book is dedicated to the late Olga Taussky-Todd and her husband, John Todd. It was Olga who brought to light Geršgorin‘s paper and its significance to the mathematical world.

Softcover reprint of hardcover 1st ed. 2004. X, 230 p. 1 illus. in color. Book (Paperback Initiative). (Springer Series in Computational Mathematics, Volume 36) SoftcoverISBN 978-3-642-05928-57 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 86,50


9<HTOGPC=afjcif>

J. d. Vries, Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, the Netherlands

Elements of Topological DynamicsThis major volume presents a comprehensive in-troduction to the study of topological transforma-tion groups with respect to topological problems which can be traced back to the qualitative theory of differential equations, and provides a system-atic exposition of the fundamental methods and techniques of abstract topological dynamics. The contents can be divided into two parts. The first part is devoted to a broad overview of the topological aspects of the theory of dynamical systems (including shift systems and geodesic and horocycle flows).

Softcover reprint of hardcover 1st ed. 1993. XVI, 748 p. Book (Paperback Initiative). (Mathematics and Its Applications (closed), Volume 257) SoftcoverISBN 978-90-481-4274-37 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 133,50


9<HTUAPI=beched>

F. O. Wagner, Institut Girard Desargues, Université Claude Bernard (Lyon-1), Villeurbanne, France

Simple TheoriesSimplicity theory is an extension of stability theory to a wider class of structures, containing, among others, the random graph, pseudo-finite fields, and fields with a generic automorphism. Following Kim‘s proof of `forking symmetry‘ which implies a good behaviour of model-theoretic independence, this area of model theory has been a field of in-tense study. It has necessitated the development of some important new tools, most notably the mod-el-theoretic treatment of hyperimaginaries (classes modulo type-definable equivalence relations). It thus provides a general notion of independence (and of rank in the supersimple case) applicable to a wide class of algebraic structures.



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P. Wesseling, Delft University of Technology, The Netherlands

Principles of Computational Fluid DynamicsThis is a soft cover reprint of a very popular hardcover edition, published in 1999. It provides an up-to-date account of the state-of-the-art of numerical methods employed in computational fluid dynamics.

2001. XII, 644 p. (Springer Series in Computational Mathematics, Volume 29) HardcoverISBN 978-3-540-67853-37 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50


9<HTOFPA=ghifdd>

S. Wiggins, University of Bristol, UK

Introduction to Applied Nonlinear Dynamical Systems and ChaosThis volume is intended for advanced undergradu-ate or first-year graduate students as an introduc-tion to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research.

Softcover reprint of hardcover 2nd ed. 2003. 808 p. 250 illus. Book (Paperback Initiative). (Texts in Applied Mathematics, Volume 2) SoftcoverISBN 978-1-4419-1807-97 € 79,95 | £72.507 * € (D) 85,55 | € (A) 87,95 | sFr 125,50


9<HTMEPB=jbiahj>

G. Winkler, Institute of Biomathematics and Biometry (IBB), Neuherberg, Germany

Image Analysis, Random Fields and Markov Chain Monte Carlo MethodsA Mathematical Introduction

This second edition of G. Winkler‘s success-ful book on random field approaches to image analysis, related Markov Chain Monte Carlo methods, and statistical inference with emphasis on Bayesian image analysis concentrates more on general principles and models and less on details of concrete applications.

2nd ed. Corr. 3rd printing. 2006. XVI, 388 p. 43 illus. With online files/update. (Stochastic Modelling and Applied Probability, Volume 27) HardcoverISBN 978-3-540-44213-47 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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A. Yagi, Osaka University, Suita, Japan

Abstract Parabolic Evolution Equations and their ApplicationsThis book offers an overview of the theories of lin-ear, semilinear and quasilinear abstract parabolic evolution equations. It also shows how to apply the abstract results to various models in the real world focusing on various self-organization models.

2010. XVIII, 581 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-642-04630-87 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50


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M. Z. Zgurovsky, V. S. Mel‘nik, National Technical University, Kiev, Ukraine; P. O. Kasyanov, Kiev Iaras Shevchenko Univ., Kiev

Evolution Inclusions and Variation Inequalities for Earth Data Processing IOperator Inclusions and Variation Inequalities for Earth Data Processing

The first of two volumes dealing with mathemati-cal methods for earth data processing, this volume describes the generalization of various approaches to analyzing nonlinear models. Readers will find a toolbox for problems in geophysics and earth sciences.

2011. XXX, 250 p. (Advances in Mechanics and Mathematics, Volume 24) HardcoverISBN 978-3-642-13836-27 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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M. Z. Zgurovsky, V. S. Mel‘nik, National Technical University, Kiev, Ukraine; P. O. Kasyanov, Kiev Iaras Shevchenko University, Ukraine

Evolution Inclusions and Variation Inequalities for Earth Data Processing IIDifferential‑Operator Inclusions and Evolution Variation Inequalities for Earth Data Processing

Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase changes, diffusion of electromagnetic, acoustic and seismoacoustic waves, as well as quantum mechanical effects.

2011. XXVI, 274 p. (Advances in Mechanics and Mathematics, Volume 25) HardcoverISBN 978-3-642-13877-57 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00


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F. Zhang, Nova Southeastern University, Fort Lauderdale, FL, USA

Matrix TheoryBasic Results and Techniques

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics rang-ing from similarity and special types of matrices to Schur complements and matrix normality. This revised and expanded second edition includes two new chapters, and expansion on topics such as matrix functions, nonnegative matrices, and unitarily invariant matrix norms. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students.

2nd ed. 2011. XVII, 399 p. 8 illus., 1 in color. (Universitext) SoftcoverISBN 978-1-4614-1098-07 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 80,00


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W. P. Ziemer, Indiana University, Bloomington, IN, USA

Weakly Differentiable FunctionsSobolev Spaces and Functions of Bounded Variation

The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer order and BV functions (functions whose partial derivatives are measures with finite total variation). The development of Sobolev functions includes an analysis of their continuity properties in terms of Lebesgue points, approximate continu-ity, and fine continuity as well as a discussion of their higher order regularity properties in terms of Lp-derivatives.

1989. XVI, 332 p. 2 illus. (Graduate Texts in Mathematics, Volume 120) HardcoverISBN 978-0-387-97017-27 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 109,00


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AlgèbreChapitre 10. Algèbre homologique

Les Éléments de mathématique de Nicolas Bour-baki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce dixième chapitre du Livre d’Algèbre, deuxième Livre du traité, pose les bases du calcul homologique. Ce volume est a été publié en 1980.

Réimpression inchangée de l’édition de 1980. 2006. 216 p. BrochéISBN 978-3-540-34492-67 € 28,44 | £22.997 * € (D) 30,43 | € (A) 31,28 | sFr 41,00


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Espaces vectoriels topologiquesChapitres 1à 5

Les Éléments de mathématique de Nicolas Bour-baki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathéma-tiques depuis leurs fondements. Ce livre est le cinquième du traité ; il est consacré aux bases de l’analyse fonctionnelle. Il contient en particulier le théorème de Hahn-Banach et le théorème de Banach-Steinhaus. Il comprend les chapitres: -1. Espaces vectoriels topologiques sur un corps value; -2. Ensembles convexes et espaces locale-ment convexes; -3. Espaces d’applications linéaires continues; -4. La dualité dans les espaces vectoriels topologiques; -5. Espaces hilbertiens (théorie élémentaire). Il contient également des notes his-toriques. Ce volume a été publié en 1981.

Réimpression inchangée de l’édition de 1981 2007. 368 p. BrochéISBN 978-3-540-34497-17 € 47,39 | £37.997 * € (D) 50,71 | € (A) 52,13 | sFr 68,00


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N. Bourbaki

IntégrationChapitre 6

Les Éléments de mathématique de Nicolas Bour-baki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce sixième chaptire du Livre d’Intégration, sixième Livre des éléments de mathématique, étend la notion d’intégration à des mesure à valeurs dans des espaces vectoriels de Hausdorff localement convexes. Il contient également une note historique. Ce volume est une réimpression de l’édition de 1959.

Réimpression inchangée de l’édition de 1959. 2007. 106 p. BrochéISBN 978-3-540-35319-57 € 28,44 | £22.997 * € (D) 30,43 | € (A) 31,28 | sFr 41,00


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N. Bourbaki

Théories spectralesChapitres 1 et 2

Les Éléments de mathématique de Nicolas Bour-baki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce premier volume du Livre consacré aux Théorie spectrales, dernier Livre du traité, comprend les chapitres: -1. Algèbres normée; -2. Groupes localement com-pacts commutatifs. Le premier chapitre introduit des concepts de base en analyse fonctionnelle. Le deuxième chapitre a pour aboutissement la transformation de Fourier sur les groupes locale-ment compacts commutatifs. Ce volume est une réimpression de l’édition de 1967.

Réimpression inchangée de l’édition de 1967. 2007. IV, 166 p. BrochéISBN 978-3-540-35330-07 € 47,39 | £37.997 * € (D) 50,71 | € (A) 52,13 | sFr 68,00


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N. Bourbaki

IntégrationChapitre 5

Intégration 5 Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présenta-tion rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce cinquième chaptire du Livre d’Intégration, sixième Livre des éléments de mathématique, traite notamment d’une generalisation du théorème des Lebesgue-Fubini et du théorème de Lebesque-Nikodym. Il contient également des notes histo-riques. Ce volume est une réimpression de l’édition de 1967.

2ième ed. 1967. Réimpression inchangée de l’édition de 1967. 2007. IV, 154 p. BrochéISBN 978-3-540-35333-17 € 28,44 | £22.997 * € (D) 30,43 | € (A) 31,28 | sFr 41,00


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N. Bourbaki

AlgèbreChapitre 9

Formes sesquilinéaires et formes quadratiques Les Éléments de mathématique de Nicolas BOUR-BAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce neuvième chapitre du Livre d’Algèbre, deuxième Livre du traité, est consacré aux formes quadratiques, symplec-tiques ou hermitiennes et aux groupes associés. Il contient également une note historique. Ce volume est une réimpression de l’édition de 1959.

Réimpression inchangée de l’édition de 1959. 2007. III, 205 p. BrochéISBN 978-3-540-35338-67 € 28,44 | £22.997 * € (D) 30,43 | € (A) 31,28 | sFr 41,00


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P. Brémaud, École Polytechnique Fédérale de Lausanne, Écublens, Switzerland

Initiation aux Probabilitéset aux chaînes de Markov

Cette introduction aux concepts probabilistes et au calcul des probabilités s‘adresse aux élèves-in-génieurs ou aux étudiants qui ne se destinent pas a priori à une carrière en mathématiques. La présen-tation, bien qu‘utilisant le formalisme moderne, ne fait donc pas appel à une connaissance préalable de la Théorie de la Mesure et de l‘Intégration.

2e éd. entièrement révisée 2009. VIII, 311 p. 4 ill. BrochéISBN 978-3-540-31421-97 € 30,33 | £24.997 * € (D) 32,45 | € (A) 33,36 | sFr 43,50


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M. Choulli, Université Paul Verlaine, Metz, France

Une introduction aux problèmes inverses elliptiques et paraboliquesCet ouvrage est consacré à une introduction aux problèmes inverses elliptiques et paraboliques. L’ objectif est de présenter quelques méthodes récentes pour établir des résultats d’unicité et de stabilité. Seront traités quelques problèmes inverses elliptiques devenus maintenant classiques, tels que la conductivité inverse, la détection de corrosion ou de fissures et les problèmes spectraux inverses. Parmi les problèmes inverses parabo-liques considérés figurent le problème classique de retrouver une distribution initiale de la chaleur et la localisation de sources, de chaleur ou de pollu-tion par exemple. Les problèmes d’identification de non linéarités seront aussi étudiés.

2009. XXII, 252 p. (Mathématiques et Applications, Volume 65) BrochéISBN 978-3-642-02459-77 € 60,66 | £54.997 * € (D) 64,91 | € (A) 66,73 | sFr 87,00


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J.‑F. Delmas, B. Jourdain, CERMICS, Marne-la-Vallée, France

Modèles aléatoiresApplications aux sciences de l‘ingénieur et du vivant

Ce tome présente des modèles aléatoires élé-mentaires (chaînes de Markov à temps discret et continu, lois de valeurs extrêmes) et certaines de leurs applications courantes : algorithmes d‘optimisation, gestion des approvisionnements, dimensionnement de files d‘attente, fiabilité et dimensionnement d‘ouvrages. Des problématiques plus récentes sont également abordées: recherche de séquences exceptionnelles et de zones homo-gènes de l‘ADN, estimation du taux de mutation de l‘ADN, phénomènes de coagulation de molécules de polymères ou d‘aérosols. Ce tome s‘adresse à un public très large d‘étudiants et d‘enseignants.

2006. XXV, 431 p. (Mathématiques et Applications, Volume 57) BrochéISBN 978-3-540-33282-47 € 79,62 | £62.997 * € (D) 85,19 | € (A) 87,58 | sFr 114,50


9<HTOFPA=ddcice>M. Elkadi, Université de Nice Sophia Antipolis, France; B. Mourrain, GALAAD, INRIA Sophia Antipolis, France

Introduction à la résolution des systèmes polynomiauxLes équations polynomiales apparaissent dans de nombreux domaines, pour modéliser des contraintes géométriques, des relations entre des grandeurs physiques, ou encore des propriétés satisfaites par certaines inconnues. Cet ouvrage est une introduction aux méthodes algébriques permettant de résoudre ce type d‘équations. Nous montrons comment la géométrie des variétés algébriques définies par ces équations, leur dimen-sion, leur degré, ou leurs composantes peuvent se déduire des propriétés des algèbres quotients correspondantes.

2007. VIII, 308 p. 14 ill. (Mathématiques et Applications, Volume 59) BrochéISBN 978-3-540-71646-47 € 55,92 | £44.997 * € (D) 59,83 | € (A) 61,51 | sFr 80,50


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Analyse mathématique IICalcul différentiel et intégral, séries de Fourier, fonctions holomorphes

Les deux premiers volumes sont consacrés aux fonctions dans R ou C, y compris la théorie élémentaire des séries et intégrales de Fourier et une partie de celle des fonctions holomorphes. L‘exposé non strictement linéaire, combine indi-cations historiques et raisonnements rigoureux. Il montre la diversité des voies d‘accès aux princi-paux résultats afin de familiariser le lecteur avec les méthodes de raisonnement et idées fondamen-tales plutôt qu‘avec les techniques de calcul, point de vue utile aussi aux personnes travaillant seules.

2ème éd. corrigée 2003. VIII, 490 p. 19 ill. BrochéISBN 978-3-540-00655-87 € 42,65 | £33.997 * € (D) 45,64 | € (A) 46,92 | sFr 61,50


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Analyse mathématique IConvergence, fonctions élémentaires

Les deux premiers volumes de cet ouvrage sont consacrés aux fonctions dans R ou C, y compris la théorie élémentaire des séries et intégrales de Fourier et une partie de celle des fonctions holomorphes. L‘exposé, non strictement linéaire, combine indications historiques et raisonnements rigoureux. Il montre la diversité des voies d‘accès aux principaux résultats afin de familiariser le lecteur avec les méthodes de raisonnement et idées fondamentales plutôt qu‘avec les techniques de calcul, point de vue utile aussi aux personnes travaillant seules.

2ème éd. 2001. XX, 458 p. BrochéISBN 978-3-540-42057-67 € 42,65 | £33.997 * € (D) 45,64 | € (A) 46,92 | sFr 61,50


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R. Godement, Universite de Paris VII, Paris, France

Analyse mathématique IVIntégration et théorie spectrale, analyse harmonique, le jardin des délices modulaires

Ce 4ème volume de l‘ouvrage Analyse mathéma-tique initiera le lecteur à l‘analyse fonctionnelle (intégration, espaces de Hilbert, analyse harmo-nique en théorie des groupes) et aux méthodes de la théorie des fonctions modulaires (séries L et theta, fonctions elliptiques, usage de l‘algèbre de Lie de SL2). Tout comme pour les volumes 1 à 3, on reconnaîtra ici encore, le style inimitable de l‘auteur et pas seulement par son refus de l‘ecriture condensée en usage dans de nombreux manuels.

2003. XII, 599 p. 4 ill. BrochéISBN 978-3-540-43841-07 € 42,65 | £33.997 * € (D) 45,64 | € (A) 46,92 | sFr 61,50


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R. Godement, Universite Paris VII, France

Analyse mathématique IIIFonctions analytiques, différentielles et variétés, surfaces de Riemann

Ce vol. III expose la théorie classique de Cauchy dans un esprit orienté bien davantage vers ses in-nombrables utilisations que vers une théorie plus ou moins complète des fonctions analytiques. On montre ensuite comment les intégrales curvilignes à la Cauchy se généralisent à un nombre quel-conque de variables réelles (formes différentielles, formules de type Stokes). Les bases de la théorie des variétés sont ensuite exposées, principalement pour fournir au lecteur le langage „canonique“ et quelques théorèmes importants (changement de variables dans les intégrales, équations différen-tielles).

2002. IX, 338 p. 27 ill. BrochéISBN 978-3-540-66142-97 € 42,65 | £33.997 * € (D) 45,64 | € (A) 46,92 | sFr 61,50


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E. Hairer, G. Wanner, Université de Genève, Suisse

L‘analyse au fil de l‘histoireCet ouvrage traite des théorèmes fondamentaux de l‘analyse (convergence, continuité, calcul diffé-rentiel et intégral à une et plusieurs variables) avec grand soin pédagogique, une centaine de dessins, d‘exemples et de contre-exemples. Pour une meil-leure compréhension du sujet, il commence avec des calculs anciens de problèmes géometriques et mécaniques, qui ont conduit aux séries infinies, dérivées, intégrales, équations différentielles. Ainsi ce volume nous fait découvrir „l‘analyse au fil de l‘histoire“. De nombreuses motivations et remarques historiques enrichissent le texte.

2001. X, 372 p. 121 ill., 1 en couleurs. (SCOPOS / Bibliotheque, Volume 10) BrochéISBN 978-3-540-67463-47 € 37,91 | £29.997 * € (D) 40,56 | € (A) 41,70 | sFr 54,50


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H. Pham, Université Paris VII, France

Optimisation et contrôle stochastique appliqués à la financeL‘objectif et l‘originalité de ce livre est de présenter les différents aspects et méthodes utilisés dans la résolution des problèmes d‘optimisation stochas-tique avec en vue des applications plus spécifiques à la finance: gestion de portefeuille, couverture d‘options, investissement optimal. Nous avons inclus certains développements récents sur le sujet sans chercher a priori la plus grande généralité. Nous avons voulu une exposition graduelle des méthodes mathématiques en présentant d‘abord les idées intuitives puis en énonçant précisément les résultats avec des démonstrations complètes et détaillées.

2007. XVI, 188 p. (Mathématiques et Applications, Volume 61) BrochéISBN 978-3-540-73736-07 € 33,18 | £29.997 * € (D) 35,50 | € (A) 36,50 | sFr 48,00


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A. Quarteroni, Ecole Polytechnique Fédérale de Lausanne, Switzerland; R. Sacco, F. Saleri, Politecnico di Milano, Italy

Méthodes NumériquesAlgorithmes, analyse et applications

Ce livre a pour but de présenter les fondements théoriques et méthodologiques de l‘analyse numérique. Une attention toute particulière est portée sur les concepts de stabilité, précision et complexité des algorithmes. Les méthodes modernes relatives aux thèmes suivants sont presentées et analysées en détail : résolution des systèmes lineaires et non linéaires, approximation polynomiale, optimisation, intégration numérique, polynômes orthogonaux, transformations rapides, équations différentielles ordinaires. Les tech-niques presentées sont illustrées par de nombreux tableaux et figures.

2007. XIV, 538 p. BrochéISBN 978-88-470-0495-57 € 36,02 | £28.997 * € (D) 38,54 | € (A) 39,62 | sFr 52,00


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A. Quarteroni, École Polytéchnique Fédérale de Lausanne, Suisse; F. Saleri, Politecnico di Milano, Italie; P. Gervasio

Calcul ScientifiqueCours, exercices corrigés et illustrations en Matlab et Octave

Ce livre constitue une introduction au Calcul Scientifique. Son objectif est de présenter des méthodes numériques permettant de résoudre avec un ordinateur certains problèmes mathéma-tiques qui ne peuvent être traités simplement avec un papier et un crayon. Les questions classiques du Calcul Scientifique sont abordées: la recherche des zéros ou le calcul d‘intégrales de fonctions continues, la résolution de systèmes linéaires, l‘approximation de fonctions par des polynômes, la résolution approchée d‘équations différentielles.

5ème éd. 2010. 360 p. BrochéISBN 978-88-470-1675-07 € 33,13 | £29.997 * € (D) 35,45 | € (A) 36,44 | sFr 47,50


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L. Amerio, Politecnico di Milano, Italy (Rédacteur)

Equazioni differenziali astratteLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, May 30‑June 8, 1963

T. Kato: Semi-groups and temporally inhomoge-neous evolution equations.- J.L. Lions: Equations différentielles opérationnelles dans les espaces de Hilbert.- L. Nirenberg: Equazioni differenziali ordinarie negli spazi di Banach.- R.S. Phillips: Semi-groups of contraction operators.- L. Amerio: Almost-periodic equations in Hilbert spaces.- G.C. Rota: A limit theorem for the time-depen-dent evolution equation.- S. Zaidman: Existence and almost periodicity for some differential euqations in Hilbert spaces.

Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Roma, 2011. 249 pagg. 2 figg. (C.I.M.E. Summer Schools (closed), Volume 29) BrossuraISBN 978-3-642-11003-07 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50


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W. Baldoni, C. Ciliberto, G. Piacentini Cattaneo, Università di Roma Tor Vergata, Roma, Italy

Aritmetica, crittografia e codiciIl volume potrà essere utile ai docenti che in-tendano svolgere un corso su questi argomenti, la cui presenza sempre più viene richiesta nei corsi di laurea di matematica, fisica, informatica, ingnegneria.

2006. XVI, 521 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0455-97 € 28,80 | £22.997 * € (D) 30,82 | € (A) 31,68 | sFr 41,50


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M. G. Bartolini Bussi, M. Maschietto, Università di Modena e Reggio Emilia, Italia

Macchine matematicheDalla storia alla scuola

In questo libro si raccolgono in modo sistematico i risultati di oltre vent’anni di ricerche didattiche sul tema delle macchine matematiche, realizzate in Italia e all’estero, in tutti gli ordini scolastici. L’esplorazione guidata delle macchine consente di ricostruire il significato geometrico-spaziale di concetti o procedure di solito affrontati solo nel quadro algebrico e di esplorare dinamicamente le configurazioni assunte allo scopo di produrre congetture e costruire dimostrazioni.

1a ed. 2006. 4a ristampa con modifiche 2007. XVIII, 160 pagg. Con CD-ROM. (Convergenze) BrossuraISBN 978-88-470-0402-37 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00


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A. Bernasconi, B. Codenotti, G. Resta, Pisa, Italia

Metodi Matematici in Complessita ComputazionaleIl libro è la naturale continuazione di ‚Introduzio-ne alla complessità computazionale‘. Il libro inizia affrontando il problema della primalità e della difficile identificazione della sua precisa comples-sità computazionale, per portarci all‘analisi delle relazioni tra determinismo e casualità. Vengono poi presentati modelli di calcolo. Essempi ed esercizi aiutano il lettore ad impadronirsi degli strumenti matematici che vengono introdotti. Il testo può essere utilizzato per corsi universitari avanzati (in particolare del corso di laurea in Informatica) e per corsi di dottorato. Inoltre si propone come riferimento per i ricercatori del settore e di aree affini.

1999. X, 364 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0060-57 € 24,95 | £19.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00


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E. Bompiani, Universitá di Firenze, Italy (Rédacteur)

Equazioni differenziali non lineariLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, September 15‑24, 1954

Lectures: J.L. Massera: Théorie de la stabilité.- W. Wasow: Asymptotic properties of non-linear analytic differential equations.- G. Sansone: Questioni sulle equazioni non lineari.- D. Graffi: Questioni varie sulle oscillazioni non lineari.- Se-minars: G. Aymerich: Oscillazioni periodiche ed isteresi oscillatoria di un sistema di Rocard a due gradi di libertà.- G. Colombo: Sui sistemi autono-mi di ordine superiore al secondo.- R.

Reprint of the 1st ed. C.I.M.E., Florence, 1954 2011. 233 pagg. 40 figg. (C.I.M.E. Summer Schools (closed), Volume 3) BrossuraISBN 978-3-642-10885-37 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50


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E. Bompiani, Università di Firenze, Italy (Rédacteur)

Geometria del calcolo delle variazioniLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Saltino (Firenza), Italy, August 21‑30, 1961

H. Busemann: The synthetic approach to Finsler spaces in the large.- E.T. Davies: Vedute generali sugli spazi variazionali.- D. Laugwitz: Geometrical methods in the differential geometry of Finsler spaces.- V.V. Wagner: Geometria del calcolo delle variazioni.

Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Roma, 1961. 2011. 409 pagg. 13 figg. (C.I.M.E. Summer Schools (closed), Volume 23) BrossuraISBN 978-3-642-10957-77 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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S. Bosch, Università di Muenster, Germania

AlgebraQuest‘opera è una traduzione da un libro di successo, originariamente pubblicato in tedesco e successivamente tradotto anche in inglese. Si tratta di un libro di testo per studenti di matematica, ingegneria e economia che seguono il corso di algebra. Ogni capitolo presenta in modo sistema-tico la teoria e introduce alle problematiche della materia. Al termine di ogni sezione si trova una ricca varietà di esercizi; inoltre, in appendice sono riportati suggerimenti per risolvere alcuni esercizi. Sebbene sia pensato per i corsi del primo biennio, il volume contiene sezioni utili anche per seminari o corsi avanzati.

2003. VIII, 346 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0221-07 € 23,03 | £19.997 * € (D) 24,64 | € (A) 25,33 | sFr 33,50


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P. Cannarsa, T. D‘Aprile, Università „Tor Vergata“, Roma, Italy

Introduzione alla teoria della misura e all’analisi funzionaleIl libro introduce la teoria della misura e l‘analisi funzionale con una coda di argomenti scelti. Con-tiene un‘ampia gamma di esempi ed esercizi, per i quali si forniscono spesso suggerimenti generosi. É rivolto principalmente a studenti della laurea in Matematica e Ingegneria.

2008. XII, 268 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0701-77 € 23,99 | £21.997 * € (D) 25,67 | € (A) 26,39 | sFr 34,50


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L. Catastini, F. Ghione, Università di Roma, Italia

Le Geometrie della VisioneScienza, Arte, Didattica

Per la prima volta sono riuniti e didatticamente rielaborati a fondo in un manuale e in un CD i testi di base della geometria della visione. L‘opera raccoglie i testi originali di Euclide (l‘Ottica), Me-nelao (La Sferica), Alberti (De Pictura), Piero della Francesca (De Prospectiva Pingendi), che hanno dato origine al disegno prospettico rinascimentale e alla moderna geometria proiettiva. L‘opera offre la possibilità di unire intuizione e ragionamento, costruendo un‘immagine chiara dello sviluppo della matematica legata alla visione, dalle origini classiche, al rinascimento, alla moderna geometria proiettiva.

1a ed. 2004. 2a ristampa con modifiche 2006. VIII, 175 pagg. BrossuraISBN 978-88-470-0208-17 € 34,57 | £26.507 * € (D) 36,99 | € (A) 38,03 | sFr 60,50


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E. Cristiani, École Nationale Supérieure de Techniques, Paris, France

Chiamalo x!ovvero Cosa fanno i matematici?

Vi siete mai chiesti cosa fa un matematico quando scrive freneticamente su un foglio di carta? Provate a chiederglielo. Vi sentirete rispondere qualcosa del tipo: „Sto cercando di dimostrare la natura iperbolica di questa equazione differenziale per poter applicare il metodo delle caratteristiche“. Non avete capito? Provate a chiedergli di spiegar-velo più semplicemente. La risposta sarà: „Allora... Ecco... Come posso dire... Sto cercando di dimo-strare che questo coso qui (indica un formulone) appartiene a una certa categoria di equazioni in cui la soluzione si propaga da un certo dato inizia-le lungo delle curve particolari.“ Inutile insistere, non vi resta che andarvene. La matematica vi ha respinto un‘altra volta.

2009. XIV, 160 pagg. (I blu) BrossuraISBN 978-88-470-1090-17 € 15,38 | £13.997 * € (D) 16,46 | € (A) 16,92 | sFr 22,50


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M. Emmer, Università di Roma (Rédacteur)

Matematica e cultura 2010La collana Matematica e cultura, attraverso un cammino iniziato dodici anni fa, in modo sempre nuovo, sorprendente e affascinante prova a descri-vere influenze e legami esistenti tra il mondo della matematica e quello del cinema, della musica, dell‘economia, ma anche dell’arte, del teatro, della letteratura o della storia

2010. VIII, 306 pagg. (Matematica e cultura) BrossuraISBN 978-88-470-1593-77 € 36,54 | £32.997 * € (D) 39,10 | € (A) 40,19 | sFr 52,50


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M. Emmer, University of Rome, Italy (Rédacteur)

Matematica e cultura 2011Raccoglie gli articoli presentati al convegno di Matematica e cultura del marzo 2010. Picasso che dialoga con Luciano Emmer è l’immagine simbolo di Matematica e cultura 2011. Un omaggio al grande artista spagnolo e un ricordo del regista italiano che ha partecipato diverse volte agli incontri veneziani. E quelle immagini indimen-ticabili di Picasso a torso nudo che affresca una grande parete, e i suoi segni cancellati per un banale errore umano e rimasti solo sulla pellicola. Di arte, di arte contemporanea, di arte antica si parla. Di Venezia, di quel grande capolavoro che è la basilica di San Marco, e dei mosaici dimenticati del suo pavimento. Ne scrivono Ettore Vio che della basilica è il Proto, e Luigi Fregonese che ne ha portato a termine, con altri, il rilievo tridimen-sionale. Un lavoro di 20 anni!

2011. X, 290 pagg. 52 figg., 12 a colori. (Matematica e cultura) BrossuraISBN 978-88-470-1853-27 € 36,54 | £32.997 * € (D) 39,10 | € (A) 40,19 | sFr 52,50


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C. Ferrari, Polit. Torino, Italy (Rédacteur)

Teoria della turbolenzaLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, September 1‑9, 1957

J. Kampé de Fériet: Problèmes mathématiques de la théorie de la turbulence homogéne.- L. Dubreil-Jacotin: Sur les axiomes des moyennes.- J. Arbault: Transformations de Reynolds sur un ensemble fini.- O. Björgum: On the possibility of a mathematical theory of shearflow turbulence.- C. Ferrari: Turbolenza di parete.- C. Agostinelli: Turbolenza in magneto-idrodinamica.- J. Laufer: The hot-wire techniques in supersonic research.- R. Wille.

Reprint of the 1st ed. C.I.M.E., Libreria Ed. Universitaria Levrotto & Bella, Torino 2011. 389 pagg. 2 figg. (C.I.M.E. Summer Schools (closed), Volume 14) BrossuraISBN 978-3-642-10908-97 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50


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L. Formaggia, F. Saleri, A. Veneziani, Politecnico di Milano, Italia

Applicazioni ed esercizi di modellistica numerica per problemi differenzialiQuesto testo, che fa parte della collana UNITEXT - La matematica per il 3+2, contiene una raccolta di esercizi riferiti agli argomenti tipici di un corso di metodi analitici e numerici proposto in un cor-so di laurea in Ingegneria o in Matematica. Ogni paragrafo è preceduto da un breve richiamo delle principali nozioni di teoria necessarie affinché l‘allievo possa risolvere gli esercizi proposti. La risoluzione della maggior parte degli esercizi si av-vale della libreria MLife, sviluppata dagli autori, in linguaggio MATLAB. Questo consente l‘immedia-ta verifica da parte degli studenti delle principali proprietà teoriche introdotte.



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S. Gabelli, Università degli Studi Roma Tre, Roma, Italia

Teoria delle Equazioni e Teoria di GaloisL‘algebra è nata come lo studio della risolubilità delle equazioni polinomiali e tale è essenzialmente rimasta fino a quando nel 1830 Evariste Galois - matematico geniale dalla vita breve e avventuro-sa - ha definitivamente risolto questo problema, ponendo allo stesso tempo le basi per la nascita dell‘algebra moderna intesa come lo studio delle strutture algebriche. La Teoria di Galois classica viene oggi insegnata a vari livelli nell‘ambito dei Corsi di Laurea in Matematica. Questo libro di te-sto è stato di conseguenza scritto per essere usato in modo flessibile.

2008. XVII, 410 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0618-87 € 27,84 | £25.997 * € (D) 29,79 | € (A) 30,62 | sFr 40,00


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F. Ghione, L. Catastini, Università di Roma Tor Vergata, Italy (Rédacteurs)

Matematica e ArteForme del pensiero artistico

Il libro vuole saldare didattica e divulgazione su un tema di grande fascino come quello dei rapporti tra la matematica e l‘espressione artistica cercando di andare oltre alle ovvietà che spesso circondano questo argomento, alle facili metafore, a esoterici misteri, con l‘obiettivo di fornire un quadro con-cettuale matematico per quanto possibile rigoroso, accessibile a una cultura liceale, isolando quei temi per i quali non sia pretestuoso l‘intreccio tra matematica e arte.

2011. XVI, 162 pagg. 40 figg. a colori. Con CD-ROM. (Convergenze) BrossuraISBN 978-88-470-1728-37 € 22,07 | £19.997 * € (D) 23,61 | € (A) 24,27 | sFr 32,00


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P. Gritzmann, R. Brandenberg, TU München, Germany

Alla ricerca della via più breveUn‘avventura matematica

Transl. German: S. Ruggerini

Il libro narra la vicenda di Rut, quindicenne, trasferitasi da poco in Germania con la famiglia, al seguito del padre che lavora per un’azienda inter-nazionale produttrice di Software. Sarà proprio il padre a regalare a Rut un computer nuovo, mentre a scuola attraversa un periodo di crisi. E’ l’inizio di un’avventura. Nel computer è installato Vim: un programma che ascolta, capisce e risponde alle domande che la ragazza, inizialmente incredula, fa. Raccontata da Vim, la matematica prende una forma completamente nuova, sorprendente e affascinante.

2a ed. 2009. VI, 371 pagg. (I blu) BrossuraISBN 978-88-470-1088-87 € 25,00 | £22.997 * € (D) 26,75 | € (A) 27,50 | sFr 36,00


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D. Harel, Weizmann Institute, Rehovot, Israel; Y. Feldman, The Interdisciplinary Center, Herzliya, Israel

AlgoritmiLo spirito dell‘informatica

Un‘eccellente introduzione agli algoritmi, alla loro struttura, a come modificano i dati, alla compu-tabilità e alla complessità, il libro è scritto in una forma allo stesso tempo elegante e schietto che fa sì che possa essere considerato sia un valido testo per un corso introduttivo di Informatica, sia un tesoro da custodire per i programmatori provetti e i progettisti di software.

2008. XXII, 616 pagg. (UNITEXT / Collana di Informatica) BrossuraISBN 978-88-470-0579-27 € 40,38 | £36.997 * € (D) 43,21 | € (A) 44,42 | sFr 58,00


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Yellow Sale 2013 | Italian Titles springer.com/yellowsale


B. Korte, J. Vygen, University of Bonn

Ottimizzazione CombinatoriaTeoria e Algoritmi

Questo libro di testo di ottimizzazione combina-toria pone in particolare risalto i risultati teorici e gli algoritmi che, al contrario delle euristiche, hanno una garanzia di avere buone prestazioni. Comprende una vasta scelta di argomenti e nasce come riferimento di diversi corsi di ottimizzazione combinatoria sia di base che di livello avanzato. Il libro contiene dimostrazioni complete (ma concise) anche di molti risultati avanzati, alcuni dei quali non sono mai apparsi prima in un libro. Vengono anche trattati molti dei temi di ricerca più attuali e sono riportati molti riferimenti alla letteratura. Quindi questo libro, traduzione della quarta edizione in lingua originale, rappresenta lo stato dell’arte dell’ottimizzazione combinatoria.

2011. XXIII, 664 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-1522-77 € 48,03 | £43.997 * € (D) 51,39 | € (A) 52,83 | sFr 69,00


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S. Leonesi, C. Toffalori, Università di Camerino, Italia

Numeri e CrittografiaIl libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri. Il libro è rivolto agli studenti universitari del nuovo ordinamento che debbano seguire un corso base di teoria dei numeri e crittografia. Il volume è impostato in modo chiaro e sistematico, in modo da rendere facilmente accessibile la materia agli studenti di matematica e informatica, fornendo peraltro parecchie descrizioni di applicazioni com-putazionali. Non mancano tuttavia accenni storici alla crittografia e alla complessità computazionale.



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R. Lucchetti, Politecnico di Milano, Italia

Passione per TrilliAlcune idee dalla matematica

È convinzione generale che la matematica sia una materia difficile da capire, che usa simboli esoterici e un linguaggio poco comprensibile, che sia soprattutto calcolo. Certamente, è una materia particolare, che ha bisogno di formule e che necessita di un linguaggio formale a volte molto sofisticato. Tuttavia, è anche una scienza piena di idee, che non hanno solo la funzione di progredire in una qualche teoria o di servire altre scienze per i loro modelli quantitativi. Come la filosofia, come la letteratura, la matematica è utile all’uomo per cercare di capire un po’ meglio il mondo che lo circonda, e soprattutto se stesso. Convinto profondamente di questo, l’autore propone alcuni argomenti, che sono particolarmente adatti a met-tere in luce questo aspetto della matematica.

2007. XIV, 154 pagg. (I blu) BrossuraISBN 978-88-470-0628-77 € 15,34 | £12.997 * € (D) 16,41 | € (A) 16,87 | sFr 22,00


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R. Lucchetti, Politecnico di Milano, Italy; C. Ciliberto, Università di Roma Tor Vergata, Italy (Rédacteurs)

Un mondo di ideeLa matematica ovunque

La varietà e l’interesse dei contributi alla Lettera Matematica Pristem hanno spinto i curatori, d’accordo con il comitato di redazione, a proporre in questa raccolta alcuni articoli apparsi sulla rivista dalla sua fondazione ad oggi. atica Pristem è una rivista, edita dalla Springer-Verlag Italia, che affronta temi legati alla ricerca matematica, ai fondamenti di questa disciplina, alla sua storia e alle sue applicazioni negli ambiti più vari.

2011. VI, 250 pagg. (I blu) BrossuraISBN 978-88-470-1743-67 € 23,08 | £19.997 * € (D) 24,69 | € (A) 25,38 | sFr 33,50


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C. Parenti, A. Parmeggiani, Università di Bologna, Italy

Algebra lineare ed equazioni differenziali ordinarieSi tratta di un testo avanzato suddiviso in due parti. La prima fornisce strumenti dell‘algebra lineare nel caso finito-dimensionale pensato con una prospettiva infinito-dimensionale. La seconda tratta di equazioni/sistemi differenziali ordinari, con particolare enfasi sulla stabilit dei punti di equilibrio e delle orbite periodiche. Non mancano applicazioni alle equazioni alle derivate parziali. La prima parte pu essere utilizzata autonomamen-te, mentre la seconda dipende in parte dai risultati esposti nella prima.



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G. Ricci, Università di Firenze, Italy (Rédacteur)

Teoria dei numeriLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 16‑25, 1955

H. Davenport: Problèmes d´empilement et de découvrement.- L.J. Mordell: Equazioni diofantee.- C.A. Rogers: The geometry of numbers.- P. Erdös: Some problems on the distribution of prime numbers.- G. Ricci: Sul reticolo dei punti aventi per coordinate i numeri primi.

2011. 143 pagg. 1 figg. (C.I.M.E. Summer Schools (closed), Volume 5) BrossuraISBN 978-3-642-10891-47 € 19,95 | £17.997 * € (D) 21,35 | € (A) 21,95 | sFr 29,00


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E. Rosazza Gianin, Università di Napoli, Italia; C. Sgarra, Politecnico di Milano, Italia

Esercizi di finanza matematicaQuesta è una raccolta di esercizi che illustra alcuni aspetti fondamentali della Finanza Matematica, in particolare della valutazione dei derivati. E’ rivolta a studenti dei corsi di Laurea Magistrale, ma può essere utilizzata con successo anche nei corsi di Laurea del primo livello, da studenti che abbiano una adeguata formazione di tipo matematico (Corsi di Laurea in Matematica, Ingegneria). La risoluzione degli esercizi viene affrontata con l’utilizzo di metodi propri sia della Teoria della Probabilità (processi stocastici) che dell’Analisi Matematica (Equazioni alle Derivate Parziali).

2007. IX, 184 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-0610-27 € 26,88 | £21.997 * € (D) 28,76 | € (A) 29,57 | sFr 39,00


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E. Salinelli, Università del Piemonte Orientale, Novara, Italia; F. Tomarelli, Politecnico di Milano, Italia

Modelli Dinamici DiscretiLa modellistica matematica discreta è uno dei fattori propulsivi nelle moderne ricerche di mate-matica, ed ha svolto un ruolo di sintesi tra diverse discipline, divenendo strumento di analisi qualita-tiva e quantitativa nelle scienze applicata. Questo volume fornisce una introduzione all’analisi dei sistemi dinamici discreti, seguendo un approccio di tipo modellistico. L’aspetto innovativo della presentazione è quello di unificare il punto di vista modellistico con quello delle varie discipline che sviluppano metodi e tecniche: Analisi Matematica, Algebra Lineare, Analisi Numerica, Teoria dei Sistemi, Calcolo delle Probabilità. Il volume è in-dirizzato principalmente agli studenti delle Facoltà di Ingegneria, Scienze, Biologia ed Economia.

2a ed. 2009. XIII, 382 pagg. (UNITEXT / La Matematica per il 3+2) BrossuraISBN 978-88-470-1075-87 € 27,84 | £25.997 * € (D) 29,79 | € (A) 30,62 | sFr 40,00


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B. Segre, Università di Firenze, Italy (Rédacteur)

Geometria aritmetica e algebricaLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, May 21.30, 1957

E. Kähler: Geometria aritmetica.- L. Roth: Que-stioni di razionalità e varietà gruppali.- Seminars: B. Segre: Intorno alla geometria sopra un corpo di caratteristica p≠0 con particolare riguardo al caso p=2.

Reprint of the 1st ed. C.I.M.E., Florence, 1957, consisting of vols. 12 A & B. 12 A was published by Nicola Zanichelli Ed, Bologna, 1958. 2011. 515 pagg. 28 figg. (C.I.M.E. Summer Schools (closed), Volume 12) BrossuraISBN 978-3-642-10925-67 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50


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B. Segre, Università di Roma, Italy (Rédacteur)

Forme differenziali e loro integraliLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Saltino (Firenze), Italy, August 23‑31, 1960

G. De Rham: La théorie des formes différentiielles extérieures et l´homologie des variétés différentia-blles.- G. Fichera: Teoria assiomatica delle forme armoniche.- W.V.D. Hodge: Differential forms in algebraic geometry.- D.B. Scott: Correspondences between algebraic surfaces.- P.Dolbeault: Sur le groupe de cohomologie entière de dimension d´une variété analytique complexe.- E. Kähler: Der innere Differentialkalkül.

Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Roma; Tipografia “Oderisi” Editrice, Gubbio 1963 2011. 259 pagg. 1 figg. (C.I.M.E. Summer Schools (closed), Volume 22) BrossuraISBN 978-3-642-10951-57 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50


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P. Serafini, Università degli Studi di Udine, Italia

Ricerca OperativaIl volume tratta alcuni fra i temi più importanti della Ricerca Operativa, traendo spunti da alcuni problemi reali di carattere gestionale e cercando di dare al lettore un metodo di modellizzazione e di risoluzione, così da fornire quella professionalità che poi permetterà di risolvere casi reali abba-stanza complessi. A questo riguardo la Program-mazione lineare e la Programmazione lineare intera svolgono nel testo un ruolo centrale, come „utensili“ principali del processo risolutivo. I pro-blemi proposti, inizialmente presentati in forma semplice, sono poi modellati in modo sempre più complesso. Gli strumenti analitici e informatici per progettare e risolvere i modelli vengono spie-gati facendo riferimento ai problemi stessi.

2009. XVI, 535 pagg. (UNITEXT / Collana di Informatica) BrossuraISBN 978-88-470-0845-87 € 30,77 | £27.997 * € (D) 32,92 | € (A) 33,85 | sFr 44,50


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G. Stampacchia, Università di Pisa, Italy (Rédacteur)

Equazioni differenziali non lineariLectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 31‑September 8, 1964

J. Leray, J.L. Lions: Quelques résultats de Visik sur le problèmes elliptiques non linéaires par les méthodes de Minty-Browder.- J. Leray: Équations hyperboliques non-strictes: contre-exemples, du type de Giorgi aux théorèmes d’existence et d’unicité.- J. Leray, Y. Ohya: Equations et systèmes non-linéaires, hyperboliques non-stricts.- J. Leray, L. Waelbroeck: Norme formelle d’une fonction composée (préliminaires a l’étude des systèmes non linéaires, hyperbolique non stricts).- J.

Reprint of the 1st ed. C.I.M.E., Ed. Cremonese, Roma, 1964 2011. 358 pagg. (C.I.M.E. Summer Schools (closed), Volume 34) BrossuraISBN 978-3-642-11029-07 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50


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