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The American Mathematical Society is pleased to present this list of our newest textbook titles published over the past year. These titles will appeal to students and professors alike, and are designed for learners at various stages of their educational careers. While intended as classroom texts for undergraduate and graduate-level courses, many of the books also make for excellent supplemental course reading and are ideal independent study resources. The titles contained in this brochure are only a sampling of our full textbook collection, which can be viewed in its entirety at:

Algebra and Algebraic Geometry Linear Algebra in Action Second Edition

ra Linear Algeb in Action

Harry Dym, Weizmann Institute of Science, Rehovot, Israel


It is a wonderful book: very accessible and rigorous [at] the same time, containing basic and not-so-basic facts, discussing many (sometimes unexpected) applications. … Given that and the wonderful way this book was written and organized, I think it can be used by many readers: engineering students, mathematics students, research mathematicians, and researchers in any other field where linear algebra is applied. I strongly recommend this book to anyone interested in “working” linear algebra.

Harry Dym

Studies Graduate s in Mathematic Volume 78

—Mihaela Poplicher, MAA Reviews

This new edition, augmented with a number of new revisions, introductory sessions, and exercises, provides a user-friendly introduction to the basic and advanced techniques of linear algebra from the point of view of a working analyst. Readership: Graduate students interested in linear algebra or any subject that uses linear algebra. Graduate Studies in Mathematics, Volume 78; 2013; 585 pp.; hardcover; ISBN: 978-1-4704-0908-1; List US$91; AMS members US$72.80; Order code: GSM/78.R

Matrix Theory

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Matrix Theo n

Xingzhi Zha

Studies Graduate atics in Mathem Volume 147




Xingzhi Zhan, East China Normal University, Shanghai, China A clear and concise presentation of modern perspectives of matrix theory, which provides a thorough treatment of topics not found in standard textbooks. Readership: Graduate students, research mathematicians, and engineers interested in matrix theory. Graduate Studies in Mathematics, Volume 147; 2013; 264 pp.; hardcover; ISBN: 978-0-82189491-0; List US$65; AMS members US$52; Order code: GSM/147

Analysis Fundamentals of Mathematical Analysis Paul J. Sally, Jr., University of Chicago, IL This textbook is a thorough treatment of real analysis for an upper undergraduate or beginning graduate course. Three key features distinguish the book from others of a similar nature and are important for the use of this book as a text: 1) the collection of exercises throughout, which serves as an essential component of the student’s learning; 2) a set of independent projects presented at the end of each chapter; and 3) a series of challenge problems that increase in difficulty as the chapters progress. In the Preface, the author states that “learning serious mathematics is about engaging with problems, from kindergarten to graduate school and beyond.” This book offers the student a fine gateway into that advanced world of mathematics that he or she has yet to explore. Readership: Undergraduate and graduate students interested in learning and teaching real analysis. Pure and Applied Undergraduate Texts, Volume 20; 2013; 362 pp.; hardcover; ISBN: 978-0-8218-9141-4; List US$74; AMS members US$59.20; Order code: AMSTEXT/20

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= Applied Mathematics

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on Lecture Notes sis aly Functional An to

ions With Applicat erential Diff Linear Partial Equations ssan

Alberto Bre

Studies Graduate atics in Mathem Volume 143




Lecture Notes on Functional Analysis With Applications to Linear Partial Differential Equations Alberto Bressan, Pennsylvania State University, University Park, PA This intentionally concise textbook presents all the fundamental concepts of functional analysis and their applications to partial differential equations. READERSHIP: Graduate students interested in functional analysis and partial differential equations. Graduate Studies in Mathematics, Volume 143; 2013; 250 pp.; hardcover; ISBN: 978-0-8218-8771-4; List US$64; AMS members US$51.20; Order code: GSM/143

Applications Combinatorial Game Theory

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l Combinatoria Game Theory gel

Aaron N. Sie

Aaron N. Siegel, San Francisco, CA Aaron Siegel has been the major contributor to Combinatorial Game Theory over the last decade or so. Now, in this authoritative work, he has made the latest results in the theory accessible, so that the subject will achieve the place in mathematics that it deserves. —Richard Guy, University of Calgary

Studies Graduate s in Mathematic

For those wishing to know about combinatorial games in depth this is the book to read. … Aaron Siegel is currently the strongest researcher in the field and has been involved with many of the central developments. In this book, he has brought them together. Moreover, he includes asides and details that explain how and why certain directions were taken; important insights from an expert. … [He] has kept the tone of the book light and infused it with history, anecdotes, and important observations making it an entertaining as well as an educational read. Volume 146


al Society


—Richard Nowakowski, MAA Reviews

Readership: Graduate students and research mathematicians interested in combinatorial game theory. Graduate Studies in Mathematics, Volume 146; 2013; 523 pp.; hardcover; ISBN: 978-0-8218-5190-6; List US$89; AMS members US$71.20; Order code: GSM/146

The Mathematics of Encryption

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An Elementary Introduction Margaret Cozzens, DIMACS, Rutgers University, Piscataway, NJ, and Steven J. Miller, Williams College, Williamstown, MA A historical and mathematical tour of cryptography, from classical ciphers to quantum cryptography, which provides an exciting introduction to liberal arts students without losing mathematical completeness. Readership: Undergraduate students interested in cryptography and elementary number theory. Mathematical World, Volume 29; 2013; 332 pp.; softcover; ISBN: 978-0-8218-8321-1; List US$49; AMS members US$39.20; Order code: MAWRLD/29

Differential Equations An Introduction to Stochastic Differential Equations

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Lawrence C. Evans, University of California, Berkeley, CA This book covers the most important elementary facts regarding stochastic differential equations; it also describes some of the applications to partial differential equations, optimal stopping, and options pricing. The book’s style is intuitive rather than formal, and emphasis is made on clarity. This book will be very helpful to starting graduate students and strong undergraduates as well as to others who want to gain knowledge of stochastic differential equations. I recommend this book enthusiastically. —Alexander Lipton, Mathematical Finance Executive, Bank of America Merrill Lynch

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A quick, but very readable introduction to stochastic differential equations; that is, to differential equations subject to additive “white noise” and related random disturbances. Readership: Undergraduate and graduate students interested in probability theory and stochastic differential equations. 2013; 151 pp.; softcover; ISBN: 978-1-4704-1054-4; List US$34; AMS members US$27.20; Order code: MBK/82

Classical Mechanics with Calculus of Variations and Optimal Control white -->

An Intuitive Introduction Mark Levi, Pennsylvania State University, University Park, PA An intuitively motivated, original, and insightful presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. Readership: Undergraduate and graduate students interested in classical mechanics and ordinary differential equations. Student Mathematical Library, Volume 69; 2014; 299 pp.; softcover; ISBN: 978-0-8218-9138-4; List US$42; AMS members US$33.60; Order code: STML/69

Discrete Mathematics and Combinatorics Difference Sets Connecting Algebra, Combinatorics, and Geometry Emily H. Moore, Grinnell College, IA, and Harriet S. Pollatsek, Mount Holyoke College, South Hadley, MA The goal of this book is to serve prospective undergraduate researchers of difference sets as well as to provide a rich text for a senior seminar or capstone course in mathematics, with the hope that readers will acquire a solid foundation that will empower them to explore the literature on difference sets independently. Readership: Undergraduate students, graduate students, and research mathematicians interested in algebra and combinatorics. Student Mathematical Library, Volume 67; 2013; 298 pp.; softcover; ISBN: 978-0-8218-9176-6; List US$49; AMS members US$39.20; Order code: STML/67

Geometry and Topology Axiomatic Geometry John M. Lee, University of Washington, Seattle, WA ”Jack Lee’s book will be extremely valuable for future high school math teachers. It is perfectly designed for students just learning to write proofs; complete beginners can use the appendices to get started, while more experienced students can jump right in. The axioms, definitions, and theorems are developed meticulously, and the book culminates in several chapters on hyperbolic geometry—a lot of fun, and a nice capstone to a two-quarter course on axiomatic geometry.” —John H. Palmieri, University of Washington

Designed for advanced undergraduates who plan to teach secondary school geometry, this book tells the story of how the axiomatic method has progressed from Euclid’s time to ours, as a way of understanding what mathematics is, how we read and evaluate mathematical arguments, and why mathematics has achieved the level of certainty it has. Readership: Undergraduate students interested in geometry and secondary mathematics teaching. Pure and Applied Undergraduate Texts,, Volume 21; 2013; 469 pp.; hardcover; ISBN: 978-0-8218-8478-2; List US$75; AMS members US$60; Order code: AMSTEXT/21

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Introduction to 3-Manifolds Introduction to 3-Manifolds ultens

Jennifer Sch

Studies Graduate atics in Mathem Volume 151




Jennifer Schultens, University of California, Davis, CA This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. Readership: Graduate students and research mathematicians interested in low-dimensional topology. Graduate Studies in Mathematics, Volume 151; 2014; approximately 289 pp.; hardcover; ISBN: 978-1-4704-1020-9; List US$75; AMS members US$60; Order code: GSM/151

Number Theory The Joy of Factoring

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Samuel S. Wagstaff, Jr., Purdue University, West Lafayette, IN This book is about the theory and practice of integer factorization presented in a historic perspective, beginning with the classical approach and proceeding to modern methods. Readers will learn the best methods of factoring integers, many reasons for factoring, and some history of this fascinating subject, and will likely have fun doing so. Readership: Undergraduate students, graduate students, and researchers in mathematics and computer science interested in number theory, in particular, methods for factoring integers. Student Mathematical Library, Volume 68; 2013; 293 pp.; softcover; ISBN: 978-1-4704-1048-3; List US$49; AMS members US$39.20; Order code: STML/68

Probability and Statistics Probability Theory in Finance

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eory Probability Th in Finance Guide to the A MathematicalFormula s Black-Schole


Seán Dineen

Studies Graduate s in Mathematic Volume 70

A Mathematical Guide to the Black-Scholes Formula, Second Edition Seán Dineen, University College Dublin, Ireland An outstanding introduction to the Black-Scholes formula for students of mathematical finance, in which the author employs a first-principles approach by developing only the minimum background necessary to justify mathematical concepts while placing mathematical developments in context. 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. Readership: Undergraduate and graduate students interested in probability and financial mathematics.

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

Mathematics of Probability of Mathematics Probability Daniel W.


Studies Graduate atics in Mathem Volume 149




Daniel W. Stroock, Massachusetts Institute of Technology, Cambridge, MA “This book is a very thorough advanced undergraduate/beginning graduate course on probability theory for students who have a good background in modern mathematical ideas. … [W]hat distinguishes this book from its many competitors is the thoroughness of argument, and the tasteful choice of auxiliary topics that complement the main menu. … [A] very good book on which to base a graduate course or to use for self-study.” —David Applebaum, University of Sheffield, South Yorkshire, UK

This book covers the basics of modern probability theory without using or introducing abstract measure theory. Readership: Graduate students and researchers interested in probability. Graduate Studies in Mathematics, Volume 149; 2013; 284 pp.; hardcover; ISBN: 978-1-4704-0907-4; List US$75; AMS members US$60; Order code: GSM/149

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