contents - amazon simple storage service · a course in algebra e. b. vinberg, moscow state...

http://www.ams.org/bookstore

http://ams.org/bookstore-getitem/item=hmath-31

http://ams.org/bookstore-getitem/item=mbk-62


http://ams.org/bookstore-getitem/item=swcry


http://ams.org/bookstore-getitem/item=gsm-70-r

Contents3 Algebra and Algebraic Geometry

3 Analysis

5 Applications

5 Differential Equations

6 Discrete Mathematics and Combinatorics

6 General Mathematical Interest

8 Geometry and Topology

8 Mathematical Physics

9 Number Theory

10 Popular Interest

13 Probability and Statistics

15 Ordering Information

AMS Member D

iscount

As an individual member, re

ceive substa

ntial discounts

on all AMS publish

ed and co-published books!

As an individual member, re

ceive substa

ntial discounts

up to

20%

Order Online | ams.org/bookstore

Order by Phone | 401-455-4000 (Worldwide) or 800-321-4267 (U.S. and Canada)

The New York Times once called backlist titles the “backbone of the book industry,” but such time-honored titles are certainly also of endless benefit to the reader. This catalog highlights a variety of excellent and enduring texts published by the American Mathematical Society over the past decade. In the pages that follow, readers will become reacquainted with vibrant historical and mathematical works that continue to remain relevant in the years since their original publication.

http://ams.org/bookstore


3


Algebra and Algebraic Geometry / Analysis

Algebra and Algebraic Geometry

Algebra: Chapter 0

Paolo Aluffi, Florida State University, Tallahassee, FL

This textbook on basic topics in algebra departs from standard texts in introducing categories before groups, rings, or modules. This is a self-contained text that will appeal to graduate and undergraduate instructors with a preference for use of the categorical language. About 1,000 exercises will give students ample opportunity to examine other topics, including applications to number theory and algebraic geometry.

Graduate Studies in Mathematics, Volume 104

2009; 713 pp.; hardcover; ISBN: 978-0-8218-4781-7; List US$89; AMS members US$71.20; Order code: GSM/104

Algebra with Galois Theory

Emil Artin

Notes by Albert A. Blank

It is still amazing to see how elegantly, masterly and comprehensibly Emil Artin taught such a topic like Galois theory sixty years ago. Using the modern frame-work of abstract algebra, presenting each argument in its simplest and purest form, and stripping the theory from any unnecessary ballast, he manages to teach the subject in an utmost accessible, inspiring and profound manner. Many contemporary textbooks on Galois theory need hundreds of pages to reach a comparable depth of exposition, alas with much less lucidity, elegance, and paedagogical effect. This is why one can still learn from a grandmaster like Emil Artin, and why the present clas-sic will maintain its everlasting significance also in the future.

—Werner Kleinert, Zentralblatt MATH

Artin’s book is a gem and it is a pleasure to see it republished by the AMS. … It remains one of the most elegantly presented texts on Galois theory and the expo-sition is as clear as if it were written yesterday.

—Rachel J. Pries, Mathematical Reviews

A classical algebra text based on the lectures of a major contributor to the theory of noncommutative rings.Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Courant Lecture Notes, Volume 15

2007; 126 pp.; softcover; ISBN: 978-0-8218-4129-7; List US$30; AMS members US$24; Order code: CLN/15

A Course in Algebra

E. B. Vinberg, Moscow State University, Russia

This textbook is written by an internationally known algebraist and presented in a very student-friendly style. The author expertly moves students from initial acquaintance with the subject to a deeper understand-ing. The book offers a unique approach to a core course required by any mathematics curriculum and includes many exercises.


2003; 511 pp.; softcover; ISBN: 978-0-8218-3413-8; List US$62; AMS members US$49.60; Order code: GSM/56.S

Analysis

Complex Made Simple

David C. Ullrich, Oklahoma State University, Stillwater, OK

The entire exposition stands out by its particular didactic features, by its expository mastery, and by its lucid style helping students grasp both the matter and the beauty of complex function theory profoundly. … Altogether, the current book offers a nearly irresistible invitation to the fascinating subject of complex analysis.

—Werner Kleinert, Zentralblatt MATH

A highly valuable and unique introduction to complex analysis, which complements the existing texts on the subject in a particularly novel and student-friendly manner.



http://ams.org/bookstore-getitem/item=gsm-97

http://ams.org/bookstore-getitem/item=cln-15





http://ams.org/bookstore-getitem/item=gsm-56-s

http://ams.org/bookstore-getitem/item=gsm-56-s

4


Analysis

An Epsilon of Room, I: Real Analysis pages from year three of a mathematical blog

Terence Tao, University of California, Los Angeles, CA

A nice contribution to the current literature by one of the leading mathematicians in the world and can only be warmly recommended.

—Gerald Teschl, Monatshefte für Mathematik

This text, derived from third-year postings from Terence Tao’s blog, presents a second graduate course in real analysis in a writing style that is accessible and enlightening. Topics include fundamentals of function-al analysis, point-set topology, abstract harmonic anal-ysis, and the theory of Sobolev spaces and distribu-tions. The writing provides not only tools of analysis, but also insight into how to think about mathematics.



Linear Functional Analysis

Joan Cerdà, Universitat de Barcelona, Spain

This introduction to functional analysis avoids the most general results possible in favor of clarity and applications to differential equations, Fourier analysis and quantum mechanics. The approach will help the reader gain an easier understanding of methods, clari-fying what is essential in analytic problems. Nearly 230 exercises at the end of chapters are designed to broad-en the understanding of the concepts employed.



Applied Asymptotic Analysis

Peter D. Miller, University of Michigan, Ann Arbor, MI

What is really special about the book is that it includes discussions on a number of topics that are usually not found in books on asymptotics. …[V]ery clear and stu-dent-friendly … Peter Miller’s book is an ideal textbook for a graduate course on asymptotic analysis. Highly recommended.

—Arno Kuijlaars, Journal of Approximation Theory

This survey of asymptotic methods set in the current applied research context of wave propagation empha-sizes rigorous analysis. Readers are shown how to obtain solid error estimates for asymptotic formulae. The text includes topics not seen in other analyses of the subject, such as multidimensional integrals and universal models for nonlinear waves.



Orthogonal Polynomials on the Unit Circle Part 1: Classical Theory; Part 2: Spectral Theory

Barry Simon

Simon’s work is not just a book about orthogonal polyno-mials but also about probability measures on one-dimen-sional Schrödinger operators and operator theory. It is extremely complex, multilayered, fascinating, and inspir-ing, while remaining very readable (even for advanced students). Without a doubt this monograph will become the standard reference for the theory of orthogonal poly-nomials on the unit circle for a long time to come.

—Jahresbericht der DMV

This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures.

To order individual parts/volumes or the complete set, please specify the relevant order code.

Colloquium Publications, Volume 54

Part 1: 2004; 466 pp.; softcover; ISBN: 978-0-8218-4863-0; List US$98; AMS members US$78.40; Order code: COLL/54.1.SPart 2: 2004; 578 pp.; softcover; ISBN: 978-0-8218-4864-7; List US$104; AMS members US$83.20; Order code: COLL/54.2.SSet: 2004; 1044 pp.; softcover; ISBN: 978-0-8218-4867-8; List US$164; AMS members US$131.20; Order code: COLL/54.S

Dynamics of Infinite-dimensional Groups The Ramsey–Dvoretzky–Milman Phenomenon

Vladimir Pestov, University of Ottawa, Ontario, Canada

This self-contained look at a fast-growing theory offers an approach to the study of infinite-dimensional groups based on ideas originating in geometric func-tional analysis. The text, based on recent research articles, offers an interdisciplinary perspective that will be of interest to mathematicians working in a variety


http://ams.org/bookstore-getitem/item=ulect-40

http://ams.org/bookstore-getitem/item=coll-54-s









http://ams.org/bookstore-getitem/item=coll-54-s

5


Applications / Differential Equations

of areas. The author’s approach constitutes an inter-marriage of concepts around a new center.

University Lecture Series, Volume 40

2006; 192 pp.; softcover; ISBN: 978-0-8218-4137-2; List US$40; AMS members US$32; Order code: ULECT/40

Function Theory of One Complex Variable Third Edition

Robert E. Greene, University of California, Los Angeles, CA, and Steven G. Krantz, Washington University, St. Louis, MO

The third edition of this textbook on one of math-ematics’ most central subjects includes revisions of many exercises for greater consistency, as well as clarifications of several proofs. The authors treat com-plex variables as a direct development from calculus, relating ideas such as the complex derivative and the Cauchy theorem to their cognate idea from calculus. Many examples, figures, and exercises enrich the text.


2006; 504 pp.; hardcover; ISBN: 978-0-8218-3962-1; List US$81; AMS members US$64.80; Order code: GSM/40.R

Applications

A Primer on Pseudorandom Generators

Oded Goldreich, Weizmann Institute of Science, Rehovot, Israel

This introduction to the theory of pseudorandom generators is written for a broad but advanced reader-ship in mathematics and computer science. The book discusses various incarnations of the general para-digm while emphasizing the case of general-purpose pseudorandom generators. The friendly approach to the writing focuses on conceptual issues and provides motivational discussions.


2010; 114 pp.; softcover; ISBN: 978-0-8218-5192-0; List US$36; AMS members US$28.80; Order code: ULECT/55

Introduction to the Mathematics of Finance

R. J. Williams, University of California, San Diego, La Jolla, CA

This thorough introduction to mathematical finance will prepare students and researchers to read advanced texts. The book develops basic ideas of hedging and pricing of derivatives in discrete time, discrete state setting, and then moves to continuous time, continu-ous state setting and generalizing of the Black-Scholes model. It includes five exercises per chapter that can be used in graduate-level mathematics curriculum.


2006; 150 pp.; hardcover; ISBN: 978-0-8218-3903-4; List US$40; AMS members US$32; Order code: GSM/72

Differential Equations

Partial Differential Equations Second Edition

Lawrence C. Evans, University of California, Berkeley, CA

Evans’ book has already attained the status of a classic. It is a clear choice for students just learning the subject, as well as for experts who wish to broaden their knowl-edge. … An outstanding reference for many aspects of the field.

—Rafe Mazzeo, Stanford University

This second edition of what has been called an essen-tial text for every graduate student in analysis includes an array of new topics in partial differential equations, particularly in a new chapter on nonlinear wave equa-tions. The author offers an unparalleled combination of insight and technical detail. The second edition includes 84 new exercises, many of which are elaborate.


2010; 749 pp.; hardcover; ISBN: 978-0-8218-4974-3; List US$93; AMS members US$74.40; Order code: GSM/19.R










6


Discrete Mathematics and Combinatorics

Inevitable Randomness in Discrete Mathematics

József Beck, Rutgers, The State University of New Jersey, Piscataway, NJ

This book about discrete mathematics takes an uncommon “big picture” approach to the subject, studying interesting concrete systems in order to give new insights to the mystery of complexity. The book considers randomness and complexity and includes rigorous mathematical proofs. The self-contained pre-sentation contains new results about graph games that support the main conjecture.


2009; 250 pp.; softcover; ISBN: 978-0-8218-4756-5; List US$59; AMS members US$47.20; Order code: ULECT/49

General Mathematical Interest

Poincaré’s Legacies, Part I pages from year two of a mathematical blog


This first part of the second-year posts on Terence Tao’s research blog focuses on ergodic theory, com-binatorics and number theory. Recurrence theorems about dynamical systems are used to prove some deep theorems in combinatorics and other areas of math-ematics. The posts are self-contained and accessible, and feedback from blog readers has been incorporated into the material.

2009; 293 pp.; softcover; ISBN: 978-0-8218-4883-8; List US$39; AMS members US$31.20; Order code: MBK/66

Poincaré’s Legacies, Part II pages from year two of a mathematical blog


This second part of the second-year posts on Terence Tao’s research blog focuses on geometry, topology and partial differential equations. It features lecture notes from Tao’s course on the Poincaré conjecture and its recent spectacular solution by Perelman. The posts are

self-contained and accessible, and feedback from blog readers has been incorporated into the material.


Structure and Randomness pages from year one of a mathematical blog


Tao does a fine job of providing new insights into old ideas, building intuition about why results come out the way they do, exploring why certain problems are at once interesting and hard, and explaining tricks. … Tao has a book … that mathematicians will definitely want to read … and it will be of interest to mathematically sophisti-cated readers coming from physics, statistics, econom-ics, computer science and doubtless other disciplines. In Structure and Randomness we have a fascinating glimpse into the mind of one of the best mathematicians working today.

— Cosma Shalizi, American Scientist

This collection of articles from Tao’s research blog captures the insight, the inquisitiveness and even the playfulness of a great mathematician at the height of his influence. His contributions in diverse areas of mathematics allow him to establish connections between seemingly disparate subjects. An informal approach to the writing focuses on general ideas rather than detailed techniques.


Discrete Mathematics and Combinatorics/ General Mathematical Interest











7


General Mathematical Interest

Mathematical Omnibus Thirty Lectures on Classic Mathematics

Dmitry Fuchs, University of California, Davis, CA, and Serge Tabachnikov, Pennsylvania State University, University Park, PA

Dmitry Fuchs and Serge Tabachnikov display impeccable taste in their choice of the material, level of exposition, and the balance between concrete and more conceptual mathematical themes. Each of the thirty lectures tells a unique mathematical story, each with a display of math-ematical narrative art, with great care for the details, revealing masters of their craft at work. Both novice and more experienced readers will find many pleasant surprises at all levels of exposition. … Summarizing, we can say that Mathematical Omnibus is a ‘desert island book,’ a ‘coffee table book,’ a book to share with friends, col-leagues, and students, a gift for a beginner and an expert alike. In short, it is a wonderful addition to our personal, school, and university libraries.

—Rade T. Z ivaljevic, The American Mathematical Monthly

The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape. The read-er will learn numerous results and discover connections between classical and contemporary ideas in algebra, combinatorics, geometry and topology. The common thread of the book is the unity and beauty of mathemat-ics. Each lecture contains exercises to which solutions or answers are given. A special feature of the book is an abundance of illustrations and artwork by an accom-plished artist. Almost every lecture contains surprises even for the seasoned researcher.

2007; 463 pp.; hardcover; ISBN: 978-0-8218-4316-1; List US$61; AMS members US$48.80; Order code: MBK/46



8


Geometry and Topology / Mathematical Physics

The Scientific Legacy of Poincaré

Éric Charpentier, Université Bordeaux 1, Talence, France, Étienne Ghys, École Normale Supérieure de Lyon, France, and Annick Lesne, Université Pierre et Marie Curie, Paris, France, Editors

Translated by Joshua Bowman

The articles are very well written, indeed, and are of course autonomous. But even non-specialists will want to sample these wares. The mathematics is presented clearly and very accessible, and the numerous historical accounts and asides add an additional welcome cultural element to the whole experience. … [This book] is bound to be a hit across the mathematical spectrum: it has something for every one interested in any aspect of Poincaré’s work, which is to say, something for every one.

—Michael Berg, MAA Reviews

This book features presentations from 20 individual experts who each take one theme and present the approach and achievements of Henri Poincaré in that area. As a group, these presentations reflect the moder-nity of Poincaré’s work and illustrate how he remains a constant source of inspiration for researchers. The book focuses on main ideas over detailed proofs, mak-ing it relevant to a variety of readers with an interest in mathematics.Co-published with the London Mathematical Society.

History of Mathematics, Volume 36

2010; 391 pp.; hardcover; ISBN: 978-0-8218-4718-3; List US$89; AMS members US$71.20; Order code: HMATH/36

Geometry and Topology

Elementary Topology Problem Textbook

O. Ya. Viro, Stony Brook University, NY, O. A. Ivanov, Steklov Institute of Mathematics, St. Petersburg, Russia, N. Yu. Netsvetaev, St. Petersburg State University, Russia, and V. M. Kharlamov, University Louis Pasteur, Strasbourg, Cedex, France

This text contains a detailed introduction to general topology and an introduction to algebraic topology via

its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.


Lessons in Geometry I. Plane Geometry

Jacques Hadamard

The Hadamards book is surprisingly modern even after 100 years have passed, and is a rich source of mathemat-ical and pedagogical ideas with a special emphasis on the solving of problems as the best way to study Geometry.

—Adrian Grjoaba, “Lucian Blaga” University of Sibiu, Romania

This internationally renowned geometry text goes well beyond the basics of plane Euclidean geometry, in a way that is both pleasingly classic and surprisingly modern. This book established the tradition of teach-ing geometry throughout the world. Much of its value lies in more than 450 problems, whose solutions open worlds to the engaged reader.TI-Nspire™ is a trademark of Texas Instruments.


Mathematical Physics

Mathematical Methods in Quantum Mechanics With Applications to Schrödinger Operators

Gerald Teschl, University of Vienna, Austria

This book serves as a mathematical introduction to quantum mechanics for graduate students, emphasizing the role of Schrödinger operators. The author develops the mathematical tools needed and relates them explic-itly to the physical applications. Included are 100 exer-cises that make the book well-suited for self-study.













9


Number Theory

An Introduction to Theoretical Fluid Mechanics

Stephen Childress, New York University, Courant Institute of Mathematical Sciences, NY

This overview of classical topics in fluid dynamics highlights the mathematical methods that have their origin in fluid theory. Areas discussed include the kine-matics and dynamics of incompressible inviscid and Newtonian viscous fluids, as well as compressible flow. The notes are designed to prepare the reader for more specialized courses in fluid mechanics.Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Courant Lecture Notes, Volume 19

2009; 201 pp.; softcover; ISBN: 978-0-8218-4888-3; List US$31; AMS members US$24.80; Order code: CLN/19

Quantum Mechanics for Mathematicians

Leon A. Takhtajan, Stony Brook University, NY

Heaven-sent to the aforementioned analytic number theorist, i.e., me, because it is mathematics, not physics: the exposition is peppered with definitions and theorems, and proofs!, proofs!, proofs! … Indispensable.

—Michael Berg, MAA Reviews

The book is very well written, in a tight logical style, relying on the introduction of basic definitions and theo-rems together with examples. It can be of great interest also for physicists interested in the mathematical founda-tions of quantum mechanics, as well as mathematical methods for the treatment of specific topics. In particu-lar it clarifies the necessary rigorous background for the formulation of key results in quantum theory.

—Bassano Vacchini, Zentralblatt MATH

This is the first book to provide a comprehensive treatment of quantum mechanics from a mathematics perspective. Mathematicians previously had to refer to physics textbooks for many of the topics addressed in this text.



Quantum Field Theory A Tourist Guide for Mathematicians

Gerald B. Folland, University of Washington, Seattle, WA

This book presents the elements of quantum field theory with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures. The author’s gifted exposition helps mathematicians understand the physicist’s theory. The book combines mathematically precise arguments when available with a more informal discussion of other topics.

Mathematical Surveys and Monographs, Volume 149

2008; 325 pp.; hardcover; ISBN: 978-0-8218-4705-3; List US$92; AMS members US$73.60; Order code: SURV/149

Number Theory

Not Always Buried Deep A Second Course in Elementary Number Theory

Paul Pollack, University of Illinois, Urbana-Champaign, IL

One of the best mathematics books that I have read recently. It is beautifully written and very well organ-ised, the kind of book that is well within the reach of an undergraduate student, even one with little complex analysis. … I know of no better place to learn about Dirichlet’s Theorem on arithmetic progressions or Selberg’s proof of the Prime Number Theorem. And if there are two results of analytic number theory that deserve to be known to every mathematician, these are certainly they. … I only wish more well-organised, clear and passionate books like this were written. Mathematics would benefit very much from it!

—S. C. Coutinho, ACM SIGACT News

A thorough introduction to elementary prime number theory, including the development of sieve methods and the elementary proof of the prime number theo-rem.


http://ams.org/bookstore-getitem/item=mbk/68

http://ams.org/bookstore-getitem/item=surv-149

http://ams.org/bookstore-getitem/item=surv-149






10


Popular Interest

John von Neumann: Selected Letters

Miklós Rédei, Eotvos Lorand University, Budapest, Hungary, Editor

John von Neumann was perhaps the most influential mathematician of the twentieth century. Not only did he contribute to almost all branches of mathematics, he created new fields and was a pioneering influence in the development of computer science. This collection of about 150 of von Neumann’s letters to colleagues, friends, government officials and others illustrates both his brilliance and his strong sense of responsibility. It is the first substantial collection of his letters, giving a rare inside glimpse of his thinking on mathematics, physics, computer science, science management, educa-tion, consulting, politics and war. Readers of quite diverse backgrounds will be fascinated by this first-hand look at one of the towering figures of twentieth century science. Co-published with the London Mathematical Society.


2005; 301 pp.; hardcover; ISBN: 978-0-8218-3776-4; List US$65; AMS members US$52; Order code: HMATH/27

Ramanujan: Essays and Surveys

Bruce C. Berndt, University of Illinois, Urbana-Champaign, IL, and Robert A. Rankin, University of Glasgow, Scotland, Editors

This beautiful and important book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey arti-cles in areas influenced by Ramanujan’s mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The text is sure to serve as a valuable source into Ramanujan’s mathematics for some time to come.Co-published with the London Mathematical Society.



The Adventure of Numbers

Gilles Godefroy, Institut de Mathématiques de Jussieu, Paris, France, and Directeur de Recherches at the C.N.R.S., Paris, France

A delightful panoramic story that traces the origin of the concept of number from pre-history, through

antiquity, the Middle Ages, the Renaissance, and down to modern times. … [A]mathematical narrative that uses history to enliven its discussion of the evolution of math-ematical concepts. … [I]nspirational reading about the unity and evolution of mathematical thought.

—Francis Fung, MAA Reviews

Our fascination with numbers begins in childhood, when we first learn to count, and continues as we learn arithmetic, algebra, geometry and so on. Eventually, we find that numbers not only help us to measure the world but also to understand it and, to some extent, control it. In The Adventure of Numbers, Gilles Godefroy unfolds a great adventure of the mind by examining our expanding understanding of numbers throughout history, from the very early days of math-ematics in Mesopotamia to the present day. The book is an ideal text for independent study or supplementary reading.

Mathematical World, Volume 21

2004; 194 pp.; softcover; ISBN: 978-0-8218-3304-9; List US$32; AMS members US$25.60; Order code: MAWRLD/21

Popular Interest


http://ams.org/bookstore-getitem/item=mawrld-21




http://ams.org/bookstore-getitem/item=mawrld-21


11


Codebreakers Arne Beurling and the Swedish Crypto Program during World War II

Bengt Beckman

Credit is due to the American Mathematical Society that now an English translation, carried out with great compe-tence by Kjell-Ove Widman, has appeared. The translation allows a wide general public with no knowledge of the Swedish language to compare the Swedish successes with the Polish and British cryptanalytic achievements against the communication lines of the German Wehrmacht. … Bengt Beckman has produced a well-written, fascinating book showing the mathematician Arne Beurling … as well as the part-time cryptologist Beurling in the depressing atmosphere in Sweden during the Second World War. This is an unforgettable book, even for those not addicted to cryptology.

—F.L. Bauer, Notices of the AMS

All stories about cryptanalytical work prior and during the World War II read like a thriller. The book under review is no exception. The author, the former head of the cryptanalytical section of FRA (The Radio Agency of the Swedish Defence Forces), presents a well of information. Its highlight is the detailed description of Arne Beurling’s solution of the German Siemens machine, one of the most magnificent achievements of cryptanalysis of that time. … The book can be highly recommended to anyone interested in the role of mathematics in classical cryptology and in the history of the 20th century.

—EMS Newsletter

One of the greatest, although perhaps lesser-known accomplishments in the history of cryptography occurred in 1940 when a Swedish mathematician broke the German code used for strategic military communications. Arne Beurling, the man who inherited Einstein’s office at Princeton’s Institute for Advanced Study, was the figure who played this role at a crucial moment in world history. Through the eyes of a former head of Sweden’s signal intelligence organization, Bengt Beckman, the reader of this book will learn about the events leading up to the breakthrough and make the acquaintance of not only a remarkable mathematician, but also a remarkable human being.

2003; 259 pp.; hardcover; ISBN: 978-0-8218-2889-2; List US$45; AMS members US$36; Order code: SWCRY

Popular Interest



12


Riot at the Calc Exam and Other Mathematically Bent Stories

Colin Adams, Williams College, Williamstown, MA

Finally, a collection of hilarious mathematical stories by Colin Adams! I’m very pleased to see that

this book is available because Colin Adams is the funni-est mathematician I know. … Adams’ writings are sure to simultaneously entertain and inform readers from any background with even a passing interest in mathematics.

—John C. Konrath, Mathematical Fiction (Blog)

My Funny-o-Meter was definitely pointing somewhere between “amusing” and “hilarious”. This book would make a great gift for that special person in your life who likes to read funny stories about math … or anyone who likes funny stories, or who likes math. This book would not make a good gift for grumpy people who hate math. Don’t say I didn’t warn you.

—Brent Yorgey, The Math Less Traveled (Blog)

What’s so funny about math? Lots! Especially if you’re mathematically bent. In the world of Colin Adams, differential equations bring on tears of laughter. Hollywood producers hire algebraic geometers to punch up a script. In this world, math and humor are synonymous. Riot at the Calc Exam is a proof of this fact. A collection of humorous math stories, this book gives a window into mathematics and the culture of mathematicians. It is appropriate for mathematicians, math students, math teachers, lay people with an inter-est in mathematics, and indeed everyone else. This book is a romp through the wild world of mathematics.


Pioneering Women in American Mathematics The Pre-1940 PhD’s

Judy Green, Marymount University, Arlington, VA, and Jeanne LaDuke, DePaul University, Chicago, IL

Pioneering Women in American Mathematics is a labor of love and the work of a lifetime: a stunning historical achievement as well as a generous gift to the mathemati-cal community. … [B]uy the book—and spread the word.

—The College Mathematics Journal

The information in this book results from extensive research into the surprisingly high number of 228 American women who attained PhD’s in mathematics before 1940. The biographical stories of these women offer insights into the scientific and cultural communi-ties of their time, indicating the challenges they faced and the persistence with which they pursued their stud-ies. A companion website offers extensive biographies.Co-published with the London Mathematical Society.



The Volterra Chronicles The Life and Times of an Extraordinary Mathematician 1860–1940

Judith R. Goodstein, California Institute of Technology, Pasadena, CA

The author has provided a detailed and exhaustive reconstruction of the life of Volterra, and of his scientific, institutional, and personal relations. … Henceforth those interested in the figure of Volterra have at their disposal a valuable tool that provides an illustra-tion down to the smallest details of the life of the great scientist. Among other things, the book contains a fasci-nating collection of photographs.

— Cosma Shalizi, American Scientist

The tumultuous life and extraordinary contributions of Italian mathematician and scientist Vito Volterra are chronicled in this richly illustrated book, the first full-scale biography available. The text chronicles Volterra’s meteoric rise as a leader in Italy’s modern scientific

Popular Interest








13


Probability and Statistics

renaissance and his tragic fall under the rule of Benito Mussolini. Based partly on unpublished family letters, the book explores the family dynamics and historical influences that shaped this pioneering mathematician.Co-published with the London Mathematical Society.




Probability

Davar Khoshnevisan, University of Utah, Salt Lake City, UT

This highly readable and modern introduction to graduate probability theory showcases the major ideas of probability by deriving a few central theo-rems. Topics range from classical limit theorems to Brownian motion and elements of stochastic calculus. The author’s lucid writing strikes a balance between explaining and challenging the student to think.



Markov Chains and Mixing Times

David A. Levin, University of Oregon, Eugene, OR, Yuval Peres, Microsoft Research, Redmond, WA, and University of California, Berkeley, CA, and Elizabeth L. Wilmer, Oberlin College, OH

A magical book, managing to be both friendly and deep. It gently introduces probabilistic techniques so that an outsider can follow. At the same time, it is the first book covering the geometric theory of Markov chains and has much that will be new to experts. It is certainly THE book that I will use to teach from. I recommend it to all comers, an amazing achievement.

—Persi Diaconis, Mary V. Sunseri Professor of Statistics and Mathematics, Stanford University

This book is a beautiful introduction to Markov chains and the analysis of their convergence towards a station-ary distribution. Personally, I enjoyed very much the lucid and clear writing style of the exposition in combi-nation with full mathematical rigor and the fascinating

relations of the theory of Markov chains to several other mathematical areas.

—Zentralblatt MATH

This book focuses on the modern approach to the theory of Markov chains, seeking to determine the rate of convergence of a Markov chain to the stationary distribution as a function of the size and geometry of the state space. The book includes numerous examples and offers introductions to central models of statistical mechanics, most notably the Ising model.


Introduction to the Theory of Random Processes

N. V. Krylov, University of Minnesota, Minneapolis, MN

This book concentrates on some general facts and ideas of the theory of stochastic processes, including topics such as the Wiener process, stationary processes, infinitely divisible processes, and Itô stochastic equa-tions. With more than 100 problems included, the book can serve as a text for an introductory course on sto-chastic processes or for independent study.










http://ams.org/bookstore-getitem/item=MBK-58

14


Probability Theory in Finance A Mathematical Guide to the Black-Scholes Formula, Second Edition

Seán Dineen, University College Dublin, Ireland

What distinguishes this book from others? The main dif-ference is that it starts basically with no mathematical prerequisites and ends with the Black-Scholes formula, while developing all mathematical theory thoroughly and in detail, on a level not seen in other textbooks. … [O]ne of the author’s aims is to entice the students by the beauty of mathematics, which he illustrates very well. If a course instructor teaching from the book succeeds in this, my guess is that the course will be a great success. … [I]t must be clearly said that this is a very nice book. It outshines most of its competitors.

—Christian-Oliver Ewald, Mathematical Reviews

A neatly and lively written text that may be warmly recom-mended to undergraduates and graduate students in math-ematics and finance.

—EMS Newsletter

In addition to the usual improvements in response to com-ments and suggestions, the new edition reflects the experi-ence of teaching real analysis. … Dineen is doing something valuable by trying to find ways to communicate mathemat-ics in a serious way to an audience that often gets little more than recipes and rules. It’s a project definitely worth supporting.

—Fernando Q. Gouvêa, MAA Reviews

Based on a course given by the author, the goal of this book is to introduce advanced undergraduates and begin-ning graduate students studying the mathematics of finance to the Black-Scholes formula. The book skillfully draws the reader toward the art of thinking mathemati-cally, and then proceeds to lay the foundations in analysis and probability theory underlying modern financial mathematics. Many exercises are included, some of which clarify simple points of exposition; others, which intro-duce new ideas and techniques; and finally, a few that contain relatively deep mathematical results. This second edition contains numerous revisions, additional material, and insights gleaned by the author after teaching from the text, all of which are designed to enhance the book’s usability as a classroom text.


2013; 305 pp.; hardcover; ISBN: 978-0-8218-9490-3; List US$65; AMS members US$52; Order code: GSM/70.R





15


MEMBER DISCOUNTAll AMS individual members throughout the world and institutional members in North

America are eligible for discounted membership pricing on all AMS books.

BANK TRANSFERSCitizens Bank1 Citizens DriveRiverside, RI 02915-4996 USA

Bank ABA, Swift code, and account numbers or other inquiries and notifi-cations about wire transfers should be directed to the Member and Customer Services Department at: [email protected]. Automated Clearing House (ACH) inquiries, authorization requests and notifications should be sent to: [email protected].

Transfers should contain name of payer (no titles please) and reason for payment (pro forma number, membership dues, etc.). Fax copy of transfer and order to: 401-455-4046, Attn: Member and Customer Services Department; or send details of payment by email to: [email protected]; or mail to Member and Customer Services Department, AMS, 201 Charles Street, Providence, RI 02904-2294 USA.

BOOKSTORE PLANSThe AMS offers a comprehensive discount and stocking plan for quali-fied retail bookstores in the U.S. and Canada. For further details, contact the AMS Commercial Accounts Group at 800-321-4AMS or send email to [email protected].

LIBRARY APPROVAL PLANSAMS library approval plans are currently offered by Blackwell’s Book Services and Yankee Book Peddler.

STANDING ORDERSStanding orders are accepted for most book series offered by the Society. Pro forma invoices are sent to standing order customers prior to the publica-tion of each new volume. Shipment is made upon receipt of payment. A new standing order at list or institutional member price entitles the purchaser to acquire back volumes at a discount. This discount will apply to a one-time purchase of ten or more back volumes in the book series if the order is placed within six months from the date of the new standing order. Contact the Member and Customer Services Department to begin a new standing order.

ORDERS FROM OUTSIDE THE UNITED STATESOrders worldwide are accepted online at ams.org/bookstore or through the following exclusive agents:

• Europe, Middle East, Africa: Eurospan Group

• Japan: Maruzen Co. Ltd. (Tokyo), Neutrino Inc. (Tokyo)

• India: Hindustan Book Agency (New Delhi), India Book House (New Delhi), Segment Book Distributors (New Delhi)

For book orders in SE Asia, China, South America, or other regions, please contact the Member and Customer Services Department at 401-455-4000 or send an email to [email protected].

Need a desk or exam copy of a textbook?Visit www.ams.org/bookstore/exam-desk-request

Change of Address? Send an email to [email protected]

SHIPPING INFORMATIONUPS Standard Ground (7–10 business days)—US$4.75 for the first item and US$1.25 for each additional item

UPS 2nd Day Air (2–3 business days)—US$11.30 for the first item and US$3.30 for each additional item

UPS Next Day Air (1–2 business days)—US$16.50 for the first item and US$4.35 for each additional item

International Standard Service (8–18 business days*)—US$9.75 for the first item and US$8.25 for each additional item

International Priority Service (3–8 business days*)—US$12.00 for the first item and US$8.50 for each additional item

_____

* Delivery time depends on your country’s available methods and customs requirements.

NOTE: The delivery times are quoted for actual shipping only. Order processing can take up to 48 hours depending on the day of the week and the time an order is placed.

*Rates for Alaska and Hawaii are based on weight and class of service. For shipping costs, please contact the Member and Customer Services Department by email: [email protected], or by phone: 800-321-4267. Rates subject to change without notice.

PRICING AND PAYMENT• All pricing in U.S. dollars—please remit in U.S. currency.

• Prices and publication dates are correct as of July 2012.

• Prices, special offers, and publication dates are subject to change without notice.

• We accept orders by check, credit card, or bank transfer.

up to

20%

ORDER ONLINE:www.ams.org/bookstore

ORDER BY MAIL:Download an order form at www.ams.org/bookstore/pspdf/orderform.pdf and send with payment enclosed to:

American Mathematical SocietyP. O. Box 845904Boston, MA 02284-5904 USAIf using a credit card, please include the name, number, and expiration date of the card.

ORDER BY PHONE:For callers in the United States and Canada, the Society’s toll-free number is 800-321-4AMS (4267). Callers outside the U.S. and Canada, please call 401-455-4000. Business hours are 8:00 a.m. to 5:00 p.m., Eastern Time, Monday through Friday, except on U.S. holidays.

ORDER BY FAX:

Download an order form at www.ams.org/bookstore/pspdf/orderform.pdf

Worldwide Fax: 401-455-4046

EXAMCOPYEXAM

COPY

http://ams.org/bookstore/exam-desk-request

http://ams.org/bookstore/pspdf/orderform.pdf


http://ams.org/bookstore/pspdf/orderform.pdf


10% post-consumer waste

Non-profit Org.U. S. Postage

PA I DProvidence, RIPermit No. 219

American Mathematical Society201 Charles Street, Providence, RI 02904-2294 USA

PUBUP/2013.7

facebook.com/[email protected]/+AmsOrg

http://www.ams.org/

http://www.facebook.com/amermathsoc

http://www.facebook.com/amermathsoc

http://www.twitter.com/amermathsoc

http://www.twitter.com/amermathsoc

http://plus.google.com/+AmsOrg

http://plus.google.com/+AmsOrg

contents - amazon simple storage service · a course in algebra e. b. vinberg, moscow state...

Documents