c0-groups, commutator mathematics, budapest, …...methods and spectral theory of n-body...

Mathematics springer.com/NEWSonline

22

H. Ammari, École Normale Supérieure Mathématiques et Applications, Paris, France; J. Garnier, University Paris VII, Paris, France; W. Jing, Ecole Normale Supérieure, Paris, France; H. Kang, Inha University, Incheon, Korea, Republic of (South Korea); M. Lim, Korean Advanced Institute of Science and Technology (KASIT), Daejeon, Korea, Republic of (South Korea); K. Solna, University of California, Irvine School of Physical Sciences, Irvine, CA, USA; H. Wang, Ecole Normale Supérieure, Paris, France

Mathematical and Statistical Methods for Multistatic ImagingThis book covers recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequen-cies. The waves can be acoustic, elastic or electro-magnetic. They are generated by point sources on a transmitter array and measured on a receiver array. An important problem in multistatic imag-ing is to quantify and understand the trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution.

Features 7 Fundamental contributions to multistatic im-aging 7 New dictionary-matching techniques for imaging 7 Matlab codes for the main algorithms described in the book are provided

Contents Mathematical and Probabilistic Tools.- Small Volume Expansions and Concept of Generalized Polarization Tensors.- Multistatic Configuration.- Localization and Detection Algorithms.- Diction-ary Matching and Tracking Algorithms.- Imaging of Extended Targets.- Invisibility.- Numerical Implementations and Results.- References.- Index.

Field of interestMathematical Applications in the Physical Sci-ences

Target groupsResearch

Discount groupProfessional Non-Medical

Due December 2013

2014. X, 343 p. 61 illus., 47 in color. (Lecture Notes in Mathematics, Volume 2098) Softcover7 $89.99ISBN 978-3-319-02584-1

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W. O. Amrein, Université de Genève, Genève, Switzerland; A. Boutet de Monvel, Université Paris Diderot, Paris, France; V. Georgescu, Université de Cergy-Pontoise, Cergy-Pontoise, France

C0-Groups, Commutator Methods and Spectral Theory of N-Body HamiltoniansThe conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudo-differential operators and N-body Schrödinger hamiltonians.

Features 7 Well-written research monograph that stimulates the further theory evolution of the field 7 Self-contained and accessible to advanced students 7 Provides auxiliary background material and develops the necessary tools from functional analysis

Contents Preface.- Comments on notations.- 1 Some Spaces of Functions and Distributions.- 2 Real Interpolation of Banach Spaces.- 3 C0-Groups and Functional Calculi.- 4 Some Examples of C0-Groups.- 5 Automorphisms Associated to C0-Representations.- 6 Unitary Representations and Regularity.- 7 The Conjugate Operator Method.- 8 An Algebraic Framework for the Many-Body Problem.- 9 Spectral Theory of N-Body Ham-iltonians.- 10 Quantum-Mechanical N-Body Systems.- Bibliography.- Notations.- Index.

Fields of interestFunctions of a Complex Variable; Associative Rings and Algebras; Algebraic Topology



Due November 2013

Originally published as volume 135 in the series Progress in Mathematics

2014. Reprint 2013 of the 1996 edition. XIV, 354 p. (Modern Birkhäuser Classics) Softcover7 $79.99ISBN 978-3-0348-0732-6

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I. Bárány, Alfred Rényi Insitute of Mathematics, Budapest, Hungary; K. J. Böröczky, G. Fejes Tóth, Alfréd Rényi Institute of Mathematics, Budapest, Hungary; J. Pach, Alfred Renyi Institute of Mathematics, Budapest, Hungary (Eds)

Geometry - Intuitive, Discrete, and ConvexA Tribute to László Fejes Tóth

The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth.

Features 7 A collection of survey articles dedicated to the memory of László Fejes Tóth 7 Each article reviews recent progress in an important field in intuitive, discrete and convex geometry 7 Some of the papers include results that have never been published before

Contents Contents.- Preface.- Akiyama, J., Kobayashi, M., Nakagawa, H., Nakamura, G. and Sato, I.: Atoms for Parallelohedra.- Bezdek, K.: Tarski’s Plank Problem Revisited.- Bezdek, A. and Kupper-beck, W.: Dense Packing of Space with Various Convex Solids.- Brass, P.: Geometric Problems on Coverage in Sensor Networks.- Gruber, P.M.: Ap-plications of an Idea of Voronoi, a Report.- Grün-baum, B.: Uniform Polyhedrals.- Holmsen, A.F.: Geometric Transversal Theory: T-(3)-families in the Plane.- Montejano, L.: Transversals, Topology and Colorful Geometric Results.- Pach, J. Pálvöl-gyi, D. and Tóth, G.: Survey on Decomposition of Multiple Coverings.- Schaefer, M.: Hanani-Tutte and Related Results.- Schneider, R.: Extremal Properties of Random Mosaics.- Smorodinsky, S.: Conflict-Free Coloring and its Applications.

Fields of interestCombinatorics; Convex and Discrete Geometry; Polytopes



Due January 2014

2014. Approx. 400 p. (Bolyai Society Mathematical Studies, Volume 24) Hardcover7 $119.00ISBN 978-3-642-41497-8

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www.springer.com/978-3-319-02584-1



News 11/2013 Mathematics

23

M. Barbut, (deceased), Professor Barbut wrote this while at EHESS, Paris, France; B. Locker, Université René Descartes, Paris, France; L. Mazliak, Université Pierre et Marie Curie, Paris, France

Paul Lévy and Maurice Fréchet50 Years of Correspondence in 107 Letters

The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research and passionate enthusiasm for the emerging field of modern probability theory. The letters cover vari-ous topics of mathematical importance including academic careers and professional travels, issues concerning students and committees, and the difficulties both mathematicians met to be elected to the Paris Academy of Sciences. The techni-cal questions that occupied Lévy and Fréchet on almost a daily basis are the primary focus of these letters, which are charged with elation, frustration and humour. Their mathematical victories and set-backs unfolded against the dramatic backdrop of the two World Wars and the occupation of France, during which Lévy was obliged to go into hiding.

Features 7 Provides a thorough study of the birth of modern probability theory 7 Provides lively and profound portraits of Paul Lévy and Maurice Fréchet 7 Gives an insight into mathematical life during twentieth-century France

Contents Introduction.- Introduction to the correspon-dence.- 107 Letters from Paul Lévy to Maurice Fréchet.

Fields of interestHistory of Science; Probability Theory and Sto-chastic Processes; Functional Analysis



Due December 2013

2014. XVIII, 270 p. 9 illus., 2 in color. (Sources and Studies in the History of Mathematics and Physical Sciences) Hardcover7 $69.99ISBN 978-1-4471-5618-5

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L. Beirao da Veiga, Università degli Studi di Milano, Milano, Italy; K. Lipnikov, G. Manzini, Los Alamos National Laboratory, Los Alamos, NM, USA

The mimetic finite difference method for elliptic problemsThis book describes the theoretical and compu-tational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magneto-statics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equa-tions on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential back-ground material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to vari-ous applications.

Features 7 This is the first book on modern mimetic technology 7 The theoretical analysis is comple-mented by simple examples 7 The book covers a broad range of applications

Fields of interestComputational Mathematics and Numerical Analysis; Mathematical Applications in the Physi-cal Sciences; Partial Differential Equations



Due December 2013

2014. Approx. 400 p. 23 illus., 2 in color. (MS&A, Volume 11) Hardcover7 approx. $139.00ISBN 978-3-319-02662-6

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I. Benjamini, The Weizmann Institute of Science, Rehovot, Israel

Coarse Geometry and RandomnessÉcole d’Été de Probabilités de Saint-Flour XLI – 2011

These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric con-cepts, before moving on to examine the manifesta-tion of the underlying geometry in the behavior of random processes, mostly percolation and random walk. The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particu-lar, is fairly well developed. One goal of these notes is to point to some random metric spaces modeled by graphs that turn out to be somewhat exotic, that is, they admit a combination of properties not encountered in the vertex transitive world.

Features 7 Includes many exercises of varying diffi-culty levels 7 Investigates many open prob-lems 7 Presents topics not covered by any other book

Contents Isoperimetry and expansions in graphs.- Sev-eral metric notions.- The hyperbolic plane and hyperbolic graphs.- More on the structure of vertex transitive graphs.- Percolation on graphs.- Local limits of graphs.- Random planar geom-etry.- Growth and isoperimetric profile of planar graphs.- Critical percolation on non-amenable groups.- Uniqueness of the infinite percolation cluster.- Percolation perturbations.- Percolation on expanders.- Harmonic functions on graphs.- Nonamenable Liouville graphs.

Fields of interestGeometry; Graph Theory; Mathematical Methods in Physics



Due November 2013

2014. X, 110 p. (Lecture Notes in Mathematics / École d’Été de Probabilités de Saint-Flour, Volume 2100) Softcover7 $49.99ISBN 978-3-319-02575-9

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24

A. Bermúdez, D. Gómez, Universidade de Santiago de Compostela, Santiago de Compostela, Spain; P. Salgado, Universidade de Santiago de Compostela, City, Spain

Mathematical Models and Numerical Simulation in ElectromagnetismFeatures 7 Combines a rigorous mathematical descrip-tion of electromagnetic models with numerous examples related to real engineering applica-tions 7 Includes a chapter devoted to nonlinear magnetics, paying particular attention to hyster-esis and the mathematical description of the Prei-sach model 7 The weak formulations introduced for each mathematical model have been chosen among the most suitable to perform computer simulation of electromagnetic processes

Contents 1 The harmonic oscillator.- 2 The Series RLC Circuit.- 3 Linear electrical circuits.- 4 Maxwell’s equations in free space.- 5 Some solutions of Maxwell’s equations in free space.- 6 Maxwell’s equations in material regions.- 7 Electrostatics.- 8 Direct current.- 9 Magnetostatics.- 10 The eddy currents model.- 11 An introduction to nonlinear magnetics. Hysteresis.- 12 Electrostatics with MaxFEM.- 13 Direct current with MaxFEM.- 14 Magnetostatics with MaxFEM.- 15 Eddy currents with MaxFEM.- 16 RLC circuits with MaxFEM.- A Elements of graph theory.- B Vector Calcu-lus.- C Function spaces for electromagnetism.- D Harmonic regime: average values.- E Linear nodal and edge finite elements.- F Maxwell’s equations in Lagrangian coordinates.

Fields of interestComputational Mathematics and Numerical Analysis; Electrical Engineering; Magnetism, Magnetic Materials

Target groupsGraduate


Due December 2013

2014. Approx. 470 p. 273 illus., 215 in color. (UNITEXT / La Matematica per il 3+2, Volume 74) Softcover7 $79.99ISBN 978-3-319-02948-1

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B. Böttcher, R. Schilling, Technische Universität Dresden, Dresden, Germany; J. Wang, Fujian Normal University, Fuzhou, Fujian, China, People’s Republic

Lévy Matters IIILévy-Type Processes: Construction, Approximation and Sample Path Properties

This volume presents recent developments in the area of Lévy-type processes and more general stochastic processes that behave locally like a Lévy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Lévy-type process: a non-random function which is a counterpart of the characteris-tic exponent of a Lévy process.

Features 7 Over the past 10-15 years, we have seen a reviv-al of general Lévy process theory, as well as a burst of new applications. There is a lively and growing research community in this area 7 Expository articles help to disseminate important theoretical and applied research, especially to young research-ers like PhD students and postdocs 7 The respective chapters will appeal to various target groups 7 Presents a unique blend of analysis and stochastics, with many findings appearing for the first time in a monograph

Contents A Primer on Feller Semigroups and Feller Processes.- Feller Generators and Symbols.- Con-struction of Feller Processes.- Transformations of Feller Processes.- Sample Path Properties.- Global Properties.- Approximation.- Open Problems.- References.- Index.

Fields of interestProbability Theory and Stochastic Processes; Mathematics, general; Functional Analysis



Due December 2013

2014. X, 190 p. 1 illus. (Lecture Notes in Mathematics / Lévy Matters, Volume 2099) Softcover7 $49.99ISBN 978-3-319-02683-1

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A. Cabada, University of Santiago de Compostela, Galicia, Spain

Green’s Functions in the Theory of Ordinary Differential EquationsThis book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green’s func-tions and discusses the study of nonlinear bound-ary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the exis-tence of positive solutions by constructing opera-tors defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.

Features 7 Provides a comprehensive development of the theory of Green’s functions 7 Focuses on the qualitative properties of such functions 7 Con-tains a comprehensive bibliography of classic and recent works on the subject

Contents 1. Green’s Functions in the Theory of Ordinary Differential Equations.- Appendix A. A Green’s Function Mathematica Package.- Appendix B. Expressions of Some Particular Green’s Functions.

Fields of interestOrdinary Differential Equations; Several Complex Variables and Analytic Spaces; Operator Theory



Due December 2013

2014. XV, 153 p. 1 illus. in color. (SpringerBriefs in Mathematics) Softcover7 $54.99ISBN 978-1-4614-9505-5

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25

P. G. Ciarlet, City University of Hong Kong, Hong Kong, Hong Kong SAR; T. Li, Fudan University, Shanghai, China, People’s Republic; Y. Maday, Université Pierre et Marie Curie(Paris VI), Paris, France (Eds)

Partial Differential Equations: Theory, Control and ApproximationIn Honor of the Scientific Heritage of Jacques-Louis Lions

Contents Control and Nash Games with Mean Field Ef-fect.- The Rain on Underground Porous Media Part I: Analysis of a Richards Model .- Finite Volume Multilevel Approximation of the Shallow Water Equations.- Non-gaussian Test Models for Prediction and State Estimation with Model Errors.- Asymptotic Analysis in a Gas-Solid Com-bustion Model with Pattern Formation.- Implicit Sampling, with Application to Data Assimila-tion.- Periodic Homogenization for Inner Bound-ary Conditions with Equi-valued Surfaces: the Unfolding Approach.- Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation.- Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences.- On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlev´e Equation: an Operator-Splitting Approach.- MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems.- Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Bound-ary Controls.- Mixing Monte-Carlo and Partial Differential Equations for Pricing Options.- In-creasing Powers in a Degenerate Parabolic Logistic Equation. [...]

Fields of interestPartial Differential Equations; Calculus of Variations and Optimal Control; Optimization; Numerical Analysis



Due November 2013

2014. VIII, 429 p. 73 illus., 43 in color. Hardcover7 $129.00ISBN 978-3-642-41400-8

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D. G. Figueiredo, Cidade Universitaria Instituto de Matematica, Estatistica e C, Campinas, Brazil D. G. Costa, University of Nevada Las Vegas Dept. Mathematical Sciences, Las Vegas, NV, USA (Ed)

Djairo G. de Figueiredo - Selected PapersThis volume presents a collection of selected papers by the prominent Brazilian mathematician Djairo G. de Figueiredo, who has made significant contributions in the area of Differential Equations and Analysis. His work has been highly influential as a challenge and inspiration to young mathema-ticians as well as in development of the general area of analysis in his home country of Brazil. In addition to a large body of research covering a variety of areas including geometry of Banach spaces, monotone operators, nonlinear elliptic problems and variational methods applied to dif-ferential equations, de Figueiredo is known for his many monographs and books.

Features 7 Collection of selected papers by prominent Brazilian mathematician 7 Significant contri-butions to the area of differential equations and analysis 7 Great influence on the development of analysis in Brasil

Contents Preface.- A Short Summary of the Scientific Life of Djairo G. de Figueiredo.- 43 Papers by Djairo G. de Figueiredo.- Complete List of Publications by Djairo G. de Figueiredo.- List of D.Sc. Students of Djairo de Figueiredo.- Acknowledgements.

Fields of interestPartial Differential Equations; Ordinary Differen-tial Equations; Functional Analysis



Due February 2014

2014. Approx. 720 p. 1 illus. in color. Hardcover7 approx. $149.00ISBN 978-3-319-02855-2

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V. Gupta, Netaji Subhas Institute of Technology, New Delhi, India; R. P. Agarwal, Texas A&M University - Kingsville, Kingsville, TX, USA

Convergence Estimates in Approximation TheoryThe study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear posi-tive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In this volume, authors Gupta and Agarwal explore new and more efficient methods of apply-ing this research to studies in Optimization and Analysis. The text will be of interest to upper-level students seeking an introduction to the field and to researchers developing innovative approaches.

Features 7 Covers general approximation methods on linear positive operators 7 Provides key results on study of convergence, its direct results, rate of convergence, and asymptotic behavior 7 Pres-ents convergence in real and complex domains

Contents 1. Preliminaries.- 2. Approximation by Certain Operators.- 3. Complete Asymptotic Expansion.- 4. Linear and Iterative Combinations.- 5. Better Approximation.- 6. Complex Operators in Com-pact Disks.- 7. Rate of Convergence for Functions of BV.- 8. Convergence for BV/Bounded Functions on Bezier Variants.- 9. Some More Results on Rate of Convergence.- 10. Rate of Convergence in Simultaneous Approximation.- 11. Future Scope and Open Problems.

Fields of interestApproximations and Expansions; Operator Theory; Analysis



Due January 2014

2014. VIII, 300 p. Hardcover7 $129.00ISBN 978-3-319-02764-7

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26

G. T. Herman, The Graduate Center City University of New York, New York, NY, USA; J. Frank, Columbia University, New York, NY, USA (Eds)

Computational Methods for Three-Dimensional Microscopy ReconstructionApproaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physi-cal models of the object and the image-formation process.

Features 7 Features authors from three expert groups that have made pioneering contributions to this field 7 Provides interdisciplinary content that will appeal to mathematicians and biologists alike 7 Includes mathematically concise state-ments of image formation and structure recovery problems

Contents 1 Introduction.- 2 Interchanging geometry conventions in 3DEM: Mathematical context for the development of standards.- 3 Fully automated particle selection and verification in single-particle cryo-EM.- 4 Quantitative analysis in iterative classification schemes for cryo-EM applica-tions.- 5 High-resolution cryo-EM structure of the Trypanosoma brucei ribosome of a case study.- 6 Computational methods for electron tomogra-phy of influenza virus.- 7 Reconstruction from microscopic projections with defocus-gradient and attenuation effects.- 8 Soft X-ray tomography imaging for biological samples.- 9 Using compo-nent trees to explore biological structures.

Fields of interestPhysiological, Cellular and Medical Topics; Com-putational Biology/Bioinformatics; Bioinformatics



Due December 2013

2014. IX, 266 p. 108 illus., 59 in color. (Applied and Numerical Harmonic Analysis) Hardcover7 $129.00ISBN 978-1-4614-9520-8

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N. Hritonenko, Prairie View A&M University, Houston, TX, USA; Y. Yatsenko, Houston Baptist University, Houston, TX, USA

Mathematical Modeling in Economics, Ecology and the EnvironmentFeatures 7 Exposes modern practice of applied math-ematical modeling in economics, population biology, and environmental sciences 7 Studied relations among various economic, population, and environmental models 7 Demonstrates how integrated mathematical models are built from simple components 7 Explains investigation techniques for models and provides interpretation of results

Contents Preface.- 1. Introduction: Principles and Tools of Mathematical Modeling. Part I. Models of Controlled Economic Systems.- 2. Aggregate Models of Economic Dynamics.- 3. Model-ing of Technological Change.- 4. Models with Heterogeneous Capital.- 5. Optimization of Economic Renovation.- Part II. Models in Ecol-ogy and Environment.- 6. Mathematical Models of Biological Populations.- 7. Modeling and Control of Biological Communities.- 8. Mod-els of Air Pollution Propagation.- 9. Models of Water Pollution Propagation.- Part III. Models of Economic-Environmental Systems.- 10. Modeling of Non-Renewable Resources.- 11. Modeling of Environmental Protection.- 12. Models of Global Dynamics: from the Club of Rome to Integrated Assessment.- Index.

Fields of interestMathematical Modeling and Industrial Mathemat-ics; Economics/Management Science, general; Math. Appl. in Environmental Science

Target groupsGraduate


Due November 2013

2nd ed. 2014. XII, 242 p. 34 illus., 8 in color. (Springer Optimization and Its Applications, Volume 88) Hardcover7 $79.99ISBN 978-1-4614-9310-5

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M. Jünger, University of Cologne Dept. of Computer Science, Cologne, Germany; G. Reinelt, University of Heidelberg Dept. of Computer Science, Heidelberg, Germany (Eds)

Facets of Combinatorial OptimizationFestschrift for Martin Grötschel

Contents Martin Grötschel - a tribute: M.Jünger and G.Reinelt.- Facets and rank of integer poly-hedra: M.Padberg.- Constructing extended formulations from reflection relations: V.Kaibel and K.Pashkovich.- Exact algorithms for combi-natorial optimization problems with submodular objective functions: F.Baumann, S.Berckey, and C.Buchheim.- Solving k-way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method: M.F. Anjos, B.Ghaddar, L.Hupp, F.Liers and A.Wiegele.- Mirror-descent methods in mixed-integer convex optimization: M.Baes, T.Oertel, Ch.Wagner and R.Weismantel.- On perspective functions and vanishing constraints in mixed-integer nonlin-ear optimal control: M.Jung, Ch.Kirches, and S.Sager.- Beyond perfection: computational results for superclasses: A.Pecher and A.Wagler.- Al-gorithms for junctions in acyclic graphs: C.E. Ferreira and A.J.P. Franco.- A primal heuristic for nonsmooth mixed integer nonlinear optimization: M.Schmidt, M.C. Steinbach, and B.M. Willert.- Flow-Over-Flow Models and an Application to the Scheduling and Routing of Fly-in Safari Planes: A.Fügenschuh, G.Nemhauser, and Y.Zeng.- How Many Steiner Terminals Can You Connect in 20 Years?: R.Borndörfer, N.- D.Hoang, M.Karbstein, Th.Koch, and A.Martin.- Robust heaviest con-nected subgraphs in networks: E.Alvarez Miranda, I.Ljubic, and P.Mutzel. [...]

Fields of interestOptimization; Applications of Mathematics; Algorithms



Available

2013. XVII, 506 p. 245 illus., 162 in color. Hardcover7 $129.00ISBN 978-3-642-38188-1

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27

I. Kaplansky, Heidelberg, Germany

Selected Papers and Other WritingsIrving Kaplansky (1917 - 2006) was a leading authority on algebra. He contributed greatly to the structure of Banach algebras, to locally compact groups and group representations. From 1945 to 1984, Professor Kaplansky taught mathematics at the University of Chicago, where he chaired the department from 1962 to 1967. In 1984 he became Director of the Mathematical Sciences Research Institute in Berkeley, California, a post he held un-til 1992. Irving Kaplansky received many awards and honors - among them, in 1989, the American Mathematical Society’s Steele Prize. This book is a collection of 22 of his research papers. Each is followed up with new comments, often includ-ing references to later papers by other authors. In addition there are eight hitherto unpublished items. These cover a variety of topics and will be of interest to many readers.

Contents Preface.- Bibliography of the Publications of Irving Kaplansky.- Introduction by Hyman Bass.- 22 Original Papers.- 8 Other Writings.- Permissions.

Field of interestK-Theory



Due December 2013

Only available in print

1995. Reprint 2013 of the 1995 edition. XVIII, 258 p. (Springer Collected Works in Mathematics) Softcover7 approx. $89.99ISBN 978-1-4614-9452-2

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V. Křivan, Biology Centre AS CR, České Budějovice, Czech Republic; G. Zaccour, HEC Montréal Dépt. Méthodes, Montreal, QC, Canada (Eds)

Advances in Dynamic GamesTheory, Applications, and Numerical Methods

Contents Part I Dynamic Games: Theory and Computa-tion.- 1 Relative Value Iteration for Stochastic Differential Games.- 2 OPTGAME3: A Dynamic Game Solver and an Economic Example.- 3 Dy-namic Programming Approach to Aircraft Control in a Windshear.- 4 Existence of Optimal Controls for a Bi-Level Optimal Control Problem.- 5 Static Linear-Quadratic Gaussian Games.- 6 Interior Convergence Under Payoff Monotone Selec-tions and Proper Equilibrium: Application to Equilibrium Selection.- Part II Dynamic Games: Applications.- 7 Should a Retailer Support a Qual-ity Improvements Strategy?.- 8 A Large Population Parental Care Game with Asynchronous Moves.- 9 Conditions for Cooperation and Trading in Value-Cost Dynamic Games.- 10 Intra-seasonal Strategies Based on Energy Budgets in a Dynamic Predator-Prey Game.- 11 On a Game-Theoretic Model of Environmental Pollution Problem.- Part III Pursuit-Evasion Games 12 Open-Loop Solv-ability Operator in Differential Games with Simple Motions in the Plane.- 13 Game with Two Pursu-ers and One Evader: Case of Weak Pursuers.- 14 Collaborative Interception of Moving Re-Locat-able Target .- 15 The Effect of Pursuer Dynamics on the Value of Linear.- Pursuit-Evasion Games with Bounded Controls.

Fields of interestGame Theory, Economics, Social and Behav. Sciences; Game Theory/Mathematical Methods; Appl.Mathematics/Computational Methods of Engineering



Due December 2013

2014. XII, 332 p. 88 illus., 55 in color. (Annals of the International Society of Dynamic Games, Volume 13) Hardcover7 $129.00ISBN 978-3-319-02689-3

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T. Li, Fudan University, Shanghai, People’s Republic of China; Y. Tan, Z. Cai, Fudan University, Shanghai, China, People’s Republic; W. Chen, Shanghai Lixin University of Commerce, Shanghai, China, People’s Republic; J. Wang, China Petroleum Logging Co. Ltd, Beijing, China, People’s Republic

Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical SolutionsSpontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This mono-graph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solu-tion schemes.

Features 7 A unique resource on the mathematical model of spontaneous potential well-logging and its numerical solutions 7 Presents advanced research results achieved by the authors over many years 7 The theory and method presented are well suited to meeting practical needs in petro-leum exploitation

Contents Preface.- Modeling.- Properties of solutions.- Lim-iting behavior.- Techniques of solution.- Numeri-cal simulation.- Bibliography.

Fields of interestPartial Differential Equations; Geophysics/Geod-esy; Numerical Analysis



Due October 2013

2013. VII, 67 p. 28 illus., 14 in color. (SpringerBriefs in Mathematics) Softcover7 $54.99ISBN 978-3-642-41424-4

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28

P. Major, Hungarian Academy of Sciences Alfréd Rényi Mathematical Institute, Budapest, Hungary

Multiple Wiener-Itô IntegralsWith Applications to Limit Theorems

The goal of this Lecture Note is to prove a new type of limit theorems for normalized sums of strongly dependent random variables that play an important role in probability theory or in statisti-cal physics. Here non-linear functionals of station-ary Gaussian fields are considered, and it is shown that the theory of Wiener–Itô integrals provides a valuable tool in their study. More precisely, a ver-sion of these random integrals is introduced that enables us to combine the technique of random integrals and Fourier analysis. The most impor-tant results of this theory are presented together with some non-trivial limit theorems proved with their help. This work is a new, revised version of a previous volume written with the goal of giving a better explanation of some of the details and the motivation behind the proofs. It does not contain essentially new results; it was written to give a better insight to the old ones. In particular, a more detailed explanation of generalized fields is included to show that what is at the first sight a rather formal object is actually a useful tool for carrying out heuristic arguments.

Field of interestProbability Theory and Stochastic Processes



Due December 2013

2nd ed. 2014. X, 128 p. 4 illus. (Lecture Notes in Mathematics, Volume 849) Softcover7 $49.99ISBN 978-3-319-02641-1

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A. B. Malinowska, Białystok University of Technology Faculty of Computer Science, Białystok, Poland; D. F. Torres, University of Aveiro, Aveiro, Portugal

Quantum Variational CalculusThis Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation.

Features 7 Introduces readers to the treatment of the calculus of variations with q-differences and Hahn difference operators 7 Provides the reader with the first extended treatment of quantum varia-tional calculus 7 Shows how the techniques described can be applied to economic models as well as other mathematical systems

Contents The Classical Calculus of Variations.- The Hahn Quantum Variational Calculus.- The Power Quan-tum Calculus.- Conclusion.

Fields of interestCalculus of Variations and Optimal Control; Optimization; Control; Game Theory/Mathemati-cal Methods



Due December 2013

2014. XII, 88 p. 3 illus. (SpringerBriefs in Electrical and Computer Engineering / SpringerBriefs in Control, Automation and Robotics) Softcover7 $54.99ISBN 978-3-319-02746-3

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P. Papi, Sapienza Università di Roma, Roma, Italy; M. Gorelik, Weizmann Institute of Science, Rehovot, Israel (Eds)

Advances in Lie SuperalgebrasFeatures 7 Virtually the first advanced volume (which is not a textbook) related to Lie superalge-bras 7 Provides a rather complete account of the newest trends in research on Lie superalge-bras 7 Contains contributions of many leading experts in the field

Contents 1 A. Alldridge, Z. Shaikh: Superbosonisation, Riesz superdistributions, and highest weight mod-ules.- 2 K. Coulembier: Homological algebra for osp(1|2n).- 3 A. D’Andrea: Finiteness and orbifold vertex operator algebras.- 4 A. De Sole: On clas-sical finite and affine W -algebras.- 5 M. Gorelik, D. Grantcharov: Q-type Lie superalgebras.- 6 C. Hoyt: Weight modules for the Lie superalge-bra D(2,1,a).- 7 R. Fioresi, S. Kwok: On SUSY curves.- 8 V. G. Kac, P. Moseneder Frajria, P. Papi: Dirac operators and the Very Strange Formula for Lie superalgebras.- 9 V. Mazorchuk: Parabolic category O for classical Lie superalgebras.- 10 E. Poletaeva: On Kostant’s Theorem for Lie superal-gebras.- 11 V. Serganova: Classical Lie superalge-bras at infinity.- 12 D. Valeri: Classical W-algebras within the theory of Poisson vertex algebras.- 13 J. van Ekeren: Vertex Operator Superalgebras and Odd Trace Functions.- 14 R. Zhang: Serre presen-tations of Lie superalgebras.

Fields of interestAlgebra; Topology



Due December 2013

2014. Approx. 250 p. (Springer INdAM Series, Volume 7) Hardcover7 $109.00ISBN 978-3-319-02951-1

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29

A. Quarteroni, École Polytechnique Fédérale de Lausanne Chaire de Modelisation, Lausanne, Switzerland

Numerical Models for Differential ProblemsIn this text, we introduce the basic concepts for the numerical modelling of partial differential equations.

Features 7 Author faces here the basic concepts for the numerical modeling of partial differential equations 7 An outstanding reference work in this branch of applied mathematics 7 In particular, the author discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs

Contents 1 A brief survey of partial differential equations.- 2 Elements of functional analysis.- 3 Elliptic equations.- 4 The Galerkin finite element method for elliptic problems.- 5 Parabolic equations.- 6 Generation of 1D and 2D grids.- 7 Algorithms for the solution of linear systems.- 8 Elements of finite element programming.- 9 The finite volume method.- 10 Spectral methods.- 11 Discontinuous element methods (DG and mortar).- 12 Diffusion-transport-reaction equations.- 13 Finite differ-ences for hyperbolic equations.- 14 Finite elements and spectral methods for hyperbolic equations.- 15 Nonlinear hyperbolic problems.- 16 Navier-Stokes equations.- 17 Optimal control of partial differential equations.- 18 Domain decomposition methods.- 19 Reduced basis approximation for parametrized partial differential equations.

Fields of interestMathematics, general; Analysis; Numerical Analysis

Target groupsLower undergraduate


Due October 2013

2nd ed. 2014. XVIII, 656 p. (MS&A, Volume 8) Hardcover7 $69.99ISBN 978-88-470-5521-6

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A. Selberg, Heidelberg, Germany

Collected Papers IFrom the Foreword by K. Chandrasekharan: The early work of Atle Selberg lies in the fields of analysis and number theory. It concerns the Riemann zeta-function, Dirichlet’s L-functions, the Fourier coefficients of modular forms, the dis-tribution of prime numbers and the general sieve method. It is brilliant, and unsurpassed, and in the finest classical tradition. His later work cuts across many fields: function theory, operator theory, spectral theory, group theory, topology, differen-tial geometry, and number theory. It has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best, and makes him one of the master mathematicians of our time. This publica-tion will enable the reader to perceive the depth and originality of Atle Selberg’s ideas and results, and sense the scale and intensity of their influence on contemporary mathematical thought.

Contents 41 original papers by Atle Selberg.- Bibliography. - Acknowledgements

Fields of interestMathematics, general; Analysis; Operator Theory



Due January 2014


1989. Reprint 2013 of the 1989 edition. VI, 711 p. (Springer Collected Works in Mathematics) Softcover7 approx. $89.99ISBN 978-3-642-41021-5

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A. Selberg, Heidelberg, Germany

Collected Papers IIFrom the Foreword by K. Chandrasekharan: The early work of Atle Selberg lies in the fields of analysis and number theory. It concerns the Riemann zeta-function, Dirichlet’s L-functions, the Fourier coefficients of modular forms, the dis-tribution of prime numbers, and the general sieve method. It is brilliant, and unsurpassed, and in the finest classical tradition. His later work cuts across many fields: function theory, operator theory, spectral theory, group theory, topology, differen-tial geometry, and number theory. It has enlarged and transfigured the whole concept and structure of arithmetic. It exemplifies the modern tradition at its sprightly best, and makes him one of the master mathematicians of our time. This publica-tion will enable the reader to perceive the depth and originality of Atle Selberg’s ideas and results, and sense the scale and intensity of their influence on contemporary mathematical thought.

Contents Contents: Linear Operators and Automorphic Forms.- Remarks on the Distribution of Poles of Eisenstein Series.- Old and New Conjectures and Results about a Class of Dirichlet Series.- Lectures on Sieves.- Bibliography.- Acknowledgements.

Field of interestNumber Theory



Due January 2014


1991. Reprint 2014 of the 1991 edition. VIII, 254 p. 1 illus. (Springer Collected Works in Mathematics) Softcover7 approx. $89.99ISBN 978-3-642-41022-2

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30

S. Reich, A. J. Zaslavski, Technion-Israel Institute of Technology, Haifa, Israel

Genericity in Nonlinear AnalysisThis book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medi-cine. The text may be used as supplementary ma-terial for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences.

Features 7 Comprehensive treatment of generic nonlin-ear analysis methodology and its use in solving general classes of interesting and important problems 7 May be used as supplementary text in graduate courses in nonlinear functional analysis, optimization theory, and approximation theory 7 Written by highly prolific authors in the field with decades of experience

Contents Preface.- 1. Introduction.- 2. Fixed Point Results and Convergence of Powers of Operators.- 3. Contractive Mappings.- 4. Dynamical Systems with Convex Lyapunov Functions.- 5. Relatively Nonexpansive Operators with Respect to Bregman Distances.- 6. Infinite Products.- 7. Best Ap-proximation.- 8. Descent Methods.- 9. Set-Valued Mappings.- 10. Minimal Configurations in the Aubry–Mather Theory.- References.- Index.

Fields of interestFunctional Analysis; Operator Theory; Calculus of Variations and Optimal Control; Optimization



Due December 2013

2014. XIV, 494 p. (Developments in Mathematics, Volume 34) Hardcover7 $149.00ISBN 978-1-4614-9532-1

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J. C.-E. Stén, Technical Research Center of Finland, VTT Espoo, Finland

A Comet of the EnlightenmentAnders Johan Lexell’s Life and Discoveries

The Finnish mathematician and astronomer Anders Johan Lexell (1740–1784) was a long-time close collaborator as well as the academic succes-sor of Leonhard Euler at the Imperial Academy of Sciences in Saint Petersburg. Lexell was initially invited by Euler from his native town of Åbo (Turku) in Finland to Saint Petersburg to assist in the mathematical processing of the astronomi-cal data of the forthcoming transit of Venus of 1769. A few years later he became an ordinary member of the Academy. This is the first-ever full-length biography devoted to Lexell and his prolific scientific output. His rich correspondence especially from his grand tour to Germany, France and England reveals him as a lucid observer of the intellectual landscape of enlightened Europe.

Features 7 The first-ever full-length biography of the mathematician and astronomer Anders Jo-han Lexell (1740–1784) 7 Sheds new light on the collaborators of Leonhard Euler 7 Interesting study of a scientist's grand tour through enlight-ened Europe

Contents 1 Setting the scene.- 2 The humble beginnings.- 3 New prospects in Saint Petersburg.- 4 Formation of an Academician.- 5 Professor of astronomy.- 6 Professional relations and correspondence.- 7 Aca-demic events in Saint Petersburg.- 8 Lexell’s work in mathematics.- 9 Academic Journey 1780–1781.- 10 Return to an Academy in crisis.- 12 A sketch of Lexell’s personality.- 13 Conclusion.- 14 Appen-dices.

Fields of interestHistory of Mathematical Sciences; Geometry; Astronomy, Astrophysics and Cosmology



Due February 2014

2014. Approx. 420 p. (Vita Mathematica, Volume 17) Hardcover7 approx. $129.00ISBN 978-3-319-00617-8

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F. Tomarelli, Politecnico di Milano, Milano, Italy; E. Salinelli, Università degli Studi del Piemonte Orientale A. Avogadro, Novara, Italy

Discrete Dynamical ModelsThis book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several discipline as Mathemati-cal Analysis, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a prelimi-nary discussion of several models, the main tools for the study of linear and non-linear scalar dy-namical systems are presented, paying particular attention to the stability analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented.

Features 7 The multi-disciplinary and modellistic ap-proach provides a broad overview of the applica-tions 7 A large number of step-by-step exercises and their worked solutions help the reader to learn quickly 7 The notion of chaotic dynamics is introduced through an in-depth study of the lo-gistic model 7 Vector-valued discrete dynamical systems are focussed especially in connection to Markov chains, positive systems, demography and page-rank algorithm

Contents 1 Recursive phenomena and difference equations.- 2 Linear difference equations.- 3 Discrete dynami-cal systems: one-step scalar equations.- 4 Complex behavior of nonlinear dynamical systems: bifurca-tions and chaos.- 5 Discrete dynamical systems: vector equations.- 6 Markov chains.- 7 Matrix.- 8 Solutions.

Fields of interestDynamical Systems and Ergodic Theory; Dif-ference and Functional Equations; Linear and Multilinear Algebras, Matrix Theory

Target groupsUpper undergraduate


Due March 2014

2014. Approx. 400 p. 128 illus. (UNITEXT / La Matematica per il 3+2, Volume 76) Softcover7 approx. $69.99ISBN 978-3-319-02290-1

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c0-groups, commutator mathematics, budapest, …...methods and spectral theory of n-body...

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