128 pages on 40 lb Velocity • Spine: 1/8" • Print Cover on 9pt Carolina

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Volume 59, Number 5

of the American Mathematical SocietyMay 2012

About the Cover: Two views of Burgers’equationSee page 654

Effi cient Algorithms for Solving Partial Diff erential Equations with Discontinuous Solutionspage 615

Remembering Herbert Federer (1920-2010)page 622

Isoperimetric Pentagonal Tilingspage 632

Princeton Lectures in Analysis by Elias M. Stein and Rami Shakarchi—A Book Review

page 641

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AMERICAN MATHEMATICAL SOCIETY

The titles below are a sampling of our most timely and best-selling textbooks, which will appeal to students and professors alike. Textbooks from the AMS spark students’ interest in modern mathematics and fuel their appreciation for research. While intended as classroom texts for undergraduate or graduate level courses, these titles also make excellent supple-mental course reading and are ideal independent study resources.

To request an exam copy, visit: ams.org/bookstore-exam-copy.

Graduate Studiesin Mathematics

Volume 19

Partial Differential Equations

Lawrence C. Evans

American Mathematical Society

SECOND EDITION

Undergraduate GraduateGraduate Undergraduate

Partial Differential

Equations

Second EditionLawrence C. Evans, University of California, Berkeley, CA

This book would be invaluable for a graduate student preparing to do research in PDEs; I wish I had a copy in graduate school.

—MAA Reviews

The definitive text on partial differential equations, with a new chapter on nonlinear wave equations and a near doubling of exercisesGraduate Studies in Mathematics, Volume 19; 2010; 749 pages; Hardcover; ISBN: 978-0-8218-4974-3; List US$93; AMS members US$74.40; Order code GSM/19.R

An Introduction to

Measure Theory

Terence Tao, University of California, Los Angeles, CA

An introduction to the foundation of modern real analysis, which focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral before moving on to abstract measure and integration theoryGraduate Studies in Mathematics, Volume 126; 2011; 206 pages; Hardcover; ISBN: 978-0-8218-6919-2; List US$53; AMS members US$42.40; Order code GSM/126

Advanced Modern

Algebra

Second EditionJoseph J. Rotman, University of Illinois at Urbana-Champaign, IL

A graduate algebra text characterized by clarity and completeness of proofs, with new material on Galois theory and homological algebraGraduate Studies in Mathematics, Volume 114; 2010; 1008 pages; Hardcover; ISBN: 978-0-8218-4741-1; List US$99; AMS members US$79.20; Order code GSM/114

Introduction to

Representation Theory

Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA, Oleg Golberg, Sebastian Hensel, Universität Bonn, Germany, Tiankai Liu, Massachusetts Institute of Technology, Cambridge, MA, Alex Schwendner, Two Sigma Investments, New York, NY, Dmitry Vaintrob, Harvard University, Cambridge, MA, and Elena Yudovina, University of Cambridge, United Kingdom

with historical interludes by Slava Gerovitch, Massachusetts Institute of Technology, Cambridge, MA

The goal of this book is to give a “holistic” introduction to representation theoryStudent Mathematical Library, Volume 59; 2011; 228 pages; Softcover; ISBN: 978-0-8218-5351-1; List US$42; AMS members US$33.60; Order code STML/59

An Introduction to

Complex Analysis and

Geometry

John P. D’Angelo, University of Illinois, Urbana, IL

Use of basic complex analysis to interweave elementary topics from analysis, geometry and algebraPure and Applied Undergraduate Texts, Volume 12; 2010; 163 pages; Hardcover; ISBN: 978-0-8218-5274-3; List US$57; AMS members US$45.60; Order code AMSTEXT/12

Advanced

Calculus

Second EditionPatrick M. Fitzpatrick, University of Maryland, College Park, MD

A rigorous presentation of the fundamental concepts of mathematical analysis, intended to encourage an appreciation of the subject’s coherencePure and Applied Undergraduate Texts, Volume 5; 2006; 590 pages; Hardcover; ISBN: 978-0-8218-4791-6; List US$82; AMS members US$65.60; Order code AMSTEXT/5

An Introductory

Course on

Mathematical Game

Theory

Julio González-Díaz, Universidade de Santiago de Compostela, Spain, Ignacio García-Jurado, Universidad de Coruña, Spain, and M. Gloria Fiestras-Janeiro, Universidade de Vigo, Spain

A substantial treatment of game theory that includes the subtle and often overlooked topic of cooperative gamesGraduate Studies in Mathematics, Volume 115; 2010; 324 pages; Hardcover; ISBN: 978-0-8218-5151-7; List US$62; AMS members US$49.60; Order code GSM/115

Differential Topology

Victor Guillemin, Massachusetts Institute of Technology, Cambridge, MA, and Alan Pollack

A frequently referenced introduction to differential topology that uses transversality to emphasize the subject matter’s elegant intuitive contentAMS Chelsea Publishing, Volume 370; 1974; 222 pages; Hardcover; ISBN: 978-0-8218-5193-7; List US$40; AMS members US$36; Order code CHEL/370.H

Probability:

The Science of

Uncertainty

with Applications to Investments, Insurance, and EngineeringMichael A. Bean

A review of the basic probability of distributions, emphasizing the many applications arising in investments, insurance, and engineeringPure and Applied Undergraduate Texts, Volume 6; 2001; 448 pages; Hardcover; ISBN: 978-0-8218-4792-3; List US$72; AMS members US$57.60; Order code AMSTEXT/6

ams.org/bookstore/textbooks

An instructor manual for this title is available electronically. Please send email to textbooks@ams.org for more information.

INSTRUCTOR MANUAL available

INSTRUCTOR MANUAL available

INSTRUCTOR MANUAL available