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PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive Substantial Discounts on All AMS Published and Co-Published Books! PUBLICATIONS of the American Mathematical Society up to AMS Individual 20% Member Discount Receive substantial discounts on all AMS published and co-published books! TEXTBOOKAMS Textbooks Find the right textbook for your course! The AMS publishes many high-quality books for use in the classroom. To view a comprehensive list of our most widely TEXTBOOKSadopted textbooks, please visit FRwww.ams.org/bookstore/textbooks.OM THE AMS To Prospective Authors The AMS has been publishing books on advanced mathematics for almost 100 years. The AMS should be considered as your publisher of choice for many reasons, including: The AMS is a nonprofit organization, and by publishing with us you will help support many activities that benefit the entire mathematical community. The list price of your book will likely be CONTENTS lower than with any other publisher. 3 Featured Selections 21 Mathematical Physics 14 Algebra and Algebraic 22 Memoirs of the AMS Your monograph will never go out of print. Geometry 24 AMS-Distributed The AMS will create and support a website 16 Applications Publications for your book on which you can post 17 Differential Equations 26 Index by Title and Author additions, updates, and supplementary material at your convenience throughout 18 Geometry and 28 Index by Series the lifetime of your book. Topology 30 Ordering Information If you would like to submit a manuscript to 20 Logic and Foundations the AMS, please visit www.ams.org/authors. Order Online | www.ams.org/bookstore FEATURED Selections Riot at the Calc Exam and Other Mathematically Bent Stories Colin Adams, Williams College, Williamstown, MA Who says mathematics is dull, overly quantitative and logical in the extreme? Certainly not Colin Adams, a Williams College professor who with this collection of entertaining stories opens a window into a humorous culture of mathematics and mathematicians. This work reflects the collegial atmosphere of what Adams calls one of the most amusing departments in academia, with many of the ideas in the book derived from the typical discussions that occur among his colleagues. The stories compiled in this book will make mathematics and math- ematics culture less intimidating to the reader, giving the layperson an idea of what it would be like to participate in that world. Story titles include “Mangum, P.I.”, “A Proof of God”, “This Theorem is Big”, “Worst-Case-Scenario Survival Handbook: Mathematics”, and “Vital Sines”. This first book devoted to short humorous math fiction will appeal to mathematics graduates and researchers seeking a break from the rigors of their work, as well as to a general audience interested in light mathematical reading. Adams writes that in the hidden world of mathematics, students laugh out loud when they receive their test scores, and cohomology theory helps comedians learn to tell a better joke. This book offers a romp through an unexpected wild world, for anyone with an interest in mathematics. READERSHIP: General mathematical audience interested in light mathematical reading. 2009; 271 pp.; softcover; ISBN: 978-0-8218-4817-3; List US$32; AMS members US$26; Order code: MBK/62 Table of Contents Introduction Trial and Error (script) Notes on the Introduction Hiring Season Acknowledgments Class Reunion The S.S. Riemann Worst-Case-Scenario Survival Pythagoras’s Darkest Hour Handbook: Mathematics Mangum, P.I. Into Thin Air Overcoming Math Anxiety Math Talk by Colin Adams and Lew Ludwig (script) A Difficult Delivery A Deprogrammer’s Tale A Proof of God Research Announcement The Red Badge of Courage A Killer Theorem This Theorem is Big A Subprime Lending Market Primer Journey to the Center of Mathematics Fields Medalist Stripped The Theorem Blaster More from the Mathematical Ethicist Riot at the Calc Exam Math Fall Fashion Preview (script) The Mathematical Ethicist Dr. Yeckel and Mr. Hide Phone Interview (script) The Pepsi Putnam Challenge The Integral: A Horror Story Vital Sines (script) The Three Little Pigs Rumpled Stiltsken 3 Northnorthwestern Math Department Safety Manual Order Online | www.ams.org/bookstore FEATURED FEATURED Selections Selections A Primer on the Calculus of Variations and Optimal Control Theory Mike Mesterton-Gibbons, Florida State University, Tallahassee, FL The calculus of variations is an old extension from regular calculus with uses in both pure and applied math- ematics, while optimal control theory is primarily an area of applied mathematics. In this book, the author introduces both classical theory and more modern developments from the perspective of an applied mathemati- cian, in a format appealing to both mathematics undergraduates and scholars in other disciplines. This book differs from other texts in this area in that it has specific appeal to undergraduates and it relies on students’ access to computer mathematics systems. It focuses on understanding concepts and how to apply them, as opposed to rigorous proofs of existence and uniqueness theorems. The range of potential applications of these subjects is broad, covering a number of fields from biology to criminology to finance. Some uncommon applications discussed in the book include cancer chemotherapy, navigational control and renewable resource harvesting. The author uses numerous examples to build up the material. He employs a nurturing writing style that is meticulous with the material most critical to his presentation. Modest prerequisites for the reader include the standard calculus sequence, a first course on ordinary differential equations, and some familiarity with one of the standard mathematical software packages. The author has created a broadly relevant presentation with an approach seeking to explain rather than prove, and by including explicit applications. His expertise in a number of areas of mathematics, including those connected with mathematical biology, offers the reader a unique perspective. READERSHIP: Undergraduate and graduate students interested in the calculus of variations and optimal control. StudentTEXTBOOK Mathematical Library, Volume 50 2009; 252 pp.; softcover; ISBN: 978-0-8218-4772-5; List US$45; AMS members US$36; Order code: STML/50 TEXTBOOKS FROM THE AMS Differential Equations, Mechanics, and Computation Richard S. Palais, University of California, Irvine, CA, and Robert A. Palais, University of Utah, Salt Lake City, UT The authors of this book take the rich subject of differential equations and focus nearly exclusively on equations of evolution, looking mainly at initial value problems. Their main goal is to develop in the reader an intuition for equations of evolution and how they can be used to model a variety of time-dependent processes, particularly in the study of classical mechanics. The authors effectively combine an exposition of the theory of ordinary differential equations with a descrip- tion of numerical methods. They concentrate on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics. The book’s five chapters are relatively easy to read, with the most technical material placed in ten mini-chapters that form the book’s appendices. The authors have selected to use a combination of traditional diagrams in the text and online aids to illustrate the complex mathematical concepts. An area on the publisher’s website is devoted to the book, with references to this area referred to in the text as the “Web Companion” and the area available for updates with new material. The ideal reader is one accustomed to seeing mathematics presented conceptually and not as a series of cook- book methods for solving exercises. The reader also is encouraged to work out some of the details, with the student asked at times to fill in details of a proof or to derive a corollary. READERSHIP: Undergraduate and graduate students interested in ordinary differential equations and numer- ical methods. This volume was co-published with the Institute for Advanced Study/Park City Mathematics Institute. Student Mathematical Library, Volume 51 2009; approximately 317 pp.; softcover; ISBN: 978-0-8218-2138-1; List US$51; AMS members US$41; Order code: STML/51 4 Order by Phone | 1-401-455-4000 or 1-800-321-4267 FEATURED FEATURED Selections Selections Famous Puzzles of Great Mathematicians Miodrag S. Petkovic´ , University of Nis, Serbia Throughout the history of mathematics, great mathematicians have taken an interest in puzzles, games and entertaining problems, and this often has fostered the development of new disciplines and has sparked research. This unique collection of 180 famous mathematical puzzles and intriguing elementary problems is intended both to entertain and to introduce compelling mathematical ideas. Mathematical amusements offer an ample playing field to both the amateur and the professional mathematician, and the problems in this book have been selected carefully in order to be accessible to a variety of readers. Given that mathematicians since ancient times have taken an interest in puzzles and diversions, this seems to confirm the notion that creative stimuli and aesthetic considerations are intertwined. Because the book is intended primarily to amuse and entertain, the author dispenses with a rigorous treatment of mathematical details, definitions and proofs. Pencil and paper are all that is required of the reader, as well as the same patience and persistence that define careful mathematical research. Most of the book’s problems originated in number theory, graph theory, optimization and probability. The book
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