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Home , David Spergel, Jean Bourgain, Popular mathematics, William Thurston

Mathematics 2014

press.princeton.edu Contents

General Interest 1

Princeton Puzzlers 9

Biography 10

History & Philosophy of Science 11

Princeton Graduate & Undergraduate Textbooks 14

Mathematical Sciences 18

Primers in Complex Systems 19

Princeton Series in Applied 20

Annals of Mathematics Studies 21

Princeton Mathematical Series 23

Mathematical Notes 24

London Mathematical Society Monographs 24

Index | Order Form 25

Cover illustration by Marcella Engel Roberts New With a foreword by Persi Diaconis and an afterword by James Randi Undiluted Hocus-Pocus The Autobiography of Martin Gardner

“Informative, original, unexpected, and always charmingly written with his uniquely subtle sense of fun, this nal autobiographical work of Martin Gardner, Undiluted Hocus-Pocus, sums up his own life and opinions, in the way that has become so familiar and inspirational to us from his well-known writings on puzzles, mathematics, philosophy, and the oddities of the world.” —Roger Penrose, author of Cycles of Time: An Extraordinary New View of the Universe Martin Gardner wrote the Mathematical Games column for Scienti c “For half a century, Martin Gardner American for twenty- ve years and published more than seventy books (1914–2010) was an international on topics as diverse as magic, philosophy, religion, pseudoscience, and scienti c treasure. . . . Gardner’s Alice in Wonderland. His informal, recreational approach to mathematics passion for writing and his warmth delighted countless readers and inspired many to pursue careers in and humour shine forth on every mathematics and the sciences. Gardner’s illuminating autobiography page of this book, making it a is a disarmingly candid self-portrait of the man evolutionary theorist memoir of a great human being.” Stephen Jay Gould called our “single brightest beacon” for the defense of —David Singmaster, rationality and good science against mysticism and anti-intellectualism. “In summary, I give this book the Gardner takes readers from his childhood in Oklahoma to his college highest praise that I can possibly days at the University of Chicago, his service in the navy, and his varied give an autobiography: it was and wide-ranging professional pursuits. Before becoming a columnist much too short.” for Scienti c American, he was a caseworker in Chicago during the Great —Charles Ashbacher, MAA Reviews Depression, a reporter for the Tulsa Tribune, an editor for Humpty Dumpty, “Martin Gardner was the most and a short-story writer for Esquire, among other jobs. Gardner shares learned man I have ever met. He colorful anecdotes about the many fascinating people he met and wrote articles and books for math- mentored, and voices strong opinions on the subjects that matter to ematicians, magicians, and puzzle him most, from his love of mathematics to his uncompromising stance lovers, and he didn’t even get against pseudoscience. For Gardner, our mathematically structured quantum mechanics wrong! Now universe is undiluted hocus-pocus—a marvelous enigma, in other words. you can read how this amazing Undiluted Hocus-Pocus o ers a rare, intimate look at Gardner’s life and man came to be so amazing.” work, and the experiences that shaped both. —John Conway, John von Neumann Distinguished Professor 2013. 288 pages. 54 halftones. Emeritus, Cl: 978-0-691-15991-1 $24.95 | £16.95

To receive notices about new books, subscribe for e-mail at: press.princeton.edu/subscribe press.princeton.edu general interest • 1 Forthcoming Forthcoming Forthcoming Math Bytes Everyday Count Like an Egyptian Google Bombs, Chocolate- Discovering the Hidden Math A Hands-on Introduction to Covered Pi, and Other Cool All around Us Ancient Mathematics Bits in Computing Oscar E. Fernandez David Reimer Tim Chartier Calculus. For some of us, the “Count Like an Egyptian is well writ- “Readable and fun. There are few word conjures up memories of ten and entertaining. This book lls books like this one that engage ten-pound textbooks and visions a void in writing with mathematics at this level of of tedious abstract equations. on Egyptian mathematics.” accessibility and tie into real-world And yet, in reality, calculus is —Annette Imhausen, section contexts in a humorous yet rigor- fun, accessible, and surrounds us author of The Mathematics of Egypt, ous way. Math Bytes reinforces the everywhere we go. Mesopotamia, China, India, and excitement of mathematics and its In Everyday Calculus, Oscar Fernan- Islam: A Sourcebook relevance to modern culture.” dez uses our everyday experiences The mathematics of ancient Egypt —Peter McOwan, Queen Mary, to skillfully reveal the hidden was fundamentally di erent from University of London calculus behind a typical day’s our math today. Contrary to what This book provides a fun, hands-on events. He guides us through how people might think, it wasn’t a approach to learning how math- math naturally emerges from sim- primitive forerunner of modern ematics and computing relate to ple observations—how hot co ee mathematics. In fact, it can’t be the world around us and help us cools down, for example—and in understood using our current com- to better understand it. How can discussions of over fty familiar putational methods. Count Like an reposting on Twitter kill a movie’s events and activities. Fernandez Egyptian provides a fun, hands-on opening weekend? How can you demonstrates that calculus can introduction to the intuitive and use mathematics to nd your be used to explore practically any often-surprising art of ancient celebrity look-alike? What is Homer aspect of our lives, including the Egyptian math. David Reimer Simpson’s method for disproving most e ective number of hours to guides you step-by-step through Fermat’s Last Theorem? Each topic sleep and the fastest route to get addition, subtraction, multiplica- in this refreshingly inviting book to work. He also shows that calcu- tion, and more. He even shows illustrates a famous mathematical lus can be both useful—determin- you how fractions and decimals algorithm or result—such as Goo- ing which seat at the theater leads may have been calculated—they gle’s PageRank and the traveling to the best viewing experience, technically didn’t exist in the land salesman problem—and the appli- for instance—and fascinating— of the pharaohs. You’ll be counting cations grow more challenging as exploring topics such as time like an Egyptian in no time, and you progress through the chapters. travel and the age of the universe. along the way you’ll learn rsthand But don’t worry, helpful solutions Throughout, Fernandez presents how mathematics is an expression are provided each step of the way. straightforward concepts, and no of the culture that uses it, and why May 2014. 160 pages. 89 color illus. prior mathematical knowledge is there’s more to math than rote 19 halftones. 20 line illus. 10 tables. required. For advanced math fans, memorization and bewildering Cl: 978-0-691-16060-3 $24.95 | £16.95 the mathematical derivations are abstraction. included in the appendixes. May 2014. 272 pages. 301 color illus. Cl: 978-0-691-16012-2 $29.95 | £19.95 May 2014. 176 pages. 47 line illus. 1 table. Cl: 978-0-691-15755-9 $24.95 | £16.95

2 • general interest Forthcoming New New Paperback Wizards, Aliens, and Beautiful Trigonometric Delights Starships Eli Maor & Eugen Jost Eli Maor Physics and Math in Fantasy “Beautiful Geometry teaches and “[Maor] writes enthusiastically and and Science Fiction delights with its marriage of art engagingly. . . . Delightful reading Charles L. Adler and mathematics. The lovely illus- from cover to cover. Trigonometric “Wizards, Aliens, and Starships trations range from conversation Delights is a welcome addition.” rigorously applies the principles of starters to dazzling Proofs Without —Sean Bradley, MAA Online physics to concepts, plot devices, Words—clever diagrams that “Maor clearly has a great love of and other features of science explain why something is true. A trigonometry, formulas and all, and ction and fantasy books, lms, feast for the eye and mind.” his enthusiasm shines through.” and television series. Readers who —Frank Farris, Santa Clara —Ian Stewart, New Scientist follow Adler’s carefully developed University Princeton Science Library analyses will learn a great deal “This book shows that math is 2013. 256 pages. 104 line illus. about familiar science ction more than theorems and proofs— Pa: 978-0-691-15820-4 $18.95 | £12.95 tropes, physics, and how scientists it is full of history, philosophy, and think about the world. An excep- glimpses of di erent cultures. I Also by Eli Maor tional book.” was immediately attracted by the Honorable Mention, 2007 Award for —A. Bowdoin Van Riper, author of Best Professional/Scholarly Book in book’s intriguing and beautiful Mathematics, Association of American Science in Popular Culture illustrations, and once I started Publishers From teleportation and space reading the text, I could not stop The Pythagorean elevators to alien contact and following its fascinating stories Theorem interstellar travel, science ction about the origins of geometrical A 4,000-Year History and fantasy writers have come up theorems.” “This excellent biography of the with some brilliant and innovative —Carlo H. Séquin, University of theorem is like a history of thought ideas. Yet how plausible are these California, Berkeley written in lines and circles, moving ideas—for instance, could Mr. If you’ve ever thought that from ancient clay tablets to Ein- Weasley’s  ying car in Harry Potter don’t mix, stein’s blackboards.” really exist? Which concepts might this stunning visual history of ge- —Ben Longsta , New Scientist actually happen—and which ones ometry will change your mind. As Princeton Science Library wouldn’t work at all? Wizards, much a work of art as a book about 2010. 288 pages. 9 color illus. 141 line illus. Aliens, and Starships delves into mathematics, Beautiful Geometry 2 tables. Pa: 978-0-691-14823-6 $17.95 | £12.50 the most extraordinary details in presents more than sixty exquisite science ction and fantasy—such color plates illustrating a wide e as time warps, shape changing, range of geometric patterns and The Story of a Number rocket launches, and illumination theorems, accompanied by brief by  oating candle—and shows accounts of the fascinating history “[The book] is like the voyages of readers the physics and math and people behind each. Columbus as told by the rst mate.” behind the phenomena. 2014. 208 pages. 60 color illus. 38 halftones. —Peter Borwein, Science February 2014. 400 pages. 23 line illus. 9 tables. Cl: 978-0-691-15099-4 $27.95 | £19.95 Princeton Science Library Cl: 978-0-691-14715-4 $29.95 | £19.95 2009. 248 pages. 6 halftones. 74 line illus. Pa: 978-0-691-14134-3 $15.95 | £10.95 press.princeton.edu general interest • 3 New Will You Be Alive 10 Years from Now? And Numerous Other Curious Questions in Probability Paul J. Nahin “A wonderful book for trained math lovers who enjoy the mental stimulation provided by a good mathematics puzzle.” —Harold D. Shane, Library Journal What are the chances of a game-show contestant nding a chicken in a box? Is the Hanukkah dreidel New a fair game? Will you be alive 10 years from now? With a foreword by These are just some of the one-of-a-kind probabili- Roger Penrose ty puzzles that acclaimed popular math writer Paul The Best Writing on Nahin o ers in this lively and informative book. Mathematics 2013 2013. 256 pages. 28 line illus. 17 tables. Cl: 978-0-691-15680-4 $27.95 | £19.95 Edited by Mircea Pitici This annual anthology brings to- Also by Paul J. Nahin gether the year’s nest mathemat- ics writing from around the world. Featuring promising new voices alongside some of the foremost names in the eld, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a to enjoy them. 2014. 272 pages. 30 halftones. 26 line illus. Pa: 978-0-691-16041-2 $21.95 | £14.95 The Logician and the Number-Crunching Engineer Taming Unruly Computational Also edited by How George Boole and Problems from Mathematical Mircea Pitici Claude Shannon Created Physics to Science Fiction the Information Age With a foreword by “[T]he book is just plain fun.” “Meshing logic problems with —Choice The Best Writing on the stories of two extraordinary 2011. 408 pages. 4 halftones. 98 line illus. Mathematics 2012 men—Victorian philosopher– 6 tables. Cl: 978-0-691-14425-2 $29.95 | £19.95 2012. 320 pages. 37 halftones. 15 line illus. mathematician George Boole and 3 tables. Pa: 978-0-691-15655-2 $19.95 | £13.95 twentieth-century information the- With a new preface by the orist Claude Shannon—Paul Nahin author With a foreword by fashions a tale of innovation and Dr. Euler’s Fabulous discovery. . . . Alongside a gripping Freeman Dyson Formula account of how Shannon built The Best Writing on Cures Many Mathematical Ills on Boole’s work, Nahin explores Mathematics 2011 others key to the technological “Nahin includes gems from all over 2011. 416 pages. 59 halftones. 4 line illus. revolution, from Georg Cantor to mathematics, ranging from engi- 7 tables. Pa: 978-0-691-15315-5 $19.95 | £13.95 Alan Turing.” neering applications to beautiful pure-mathematical identities.” —Nature With a foreword by —, Nature 2012. 248 pages. 2 halftones. 41 line illus. William P. Thurston 25 tables. 2011. 416 pages. 2 halftones. 77 line illus. Cl: 978-0-691-15100-7 $24.95 | £16.95 Pa: 978-0-691-15037-6 $19.95 | £13.95 The Best Writing on Cl: 978-0-691-11822-2 $29.95 | £19.95 Mathematics 2010 2011. 440 pages. 28 halftones. Pa: 978-0-691-14841-0 $19.95 | £13.95

4 • general interest New The Golden Ticket P, NP, and the Search for the Impossible Lance Fortnow “As Lance Fortnow describes in his new book, The Golden Ticket: P, NP and the Search for the Impossible, P versus NP is ‘one of the great open problems in all of mathematics’ not only because it is extremely di cult to solve but because it has such obvious practical applications. It is the dream of total ease, of the con dence that there New Paperback is an e cient way to calculate nearly everything, Revised Color Edition ‘from cures to deadly diseases to the nature of the With a new foreword by universe,’ even ‘an algorithmic process to recog- Ian Stewart nize greatness.’ . . . To postulate that P ≠ NP, as Fortnow does, is to allow for Four Colors Su ce a world of mystery, di culty, and frustration—but also of discovery and How the Map Problem Was inquiry, of pleasures pleasingly delayed.” Solved —Alexander Nazaryan, New Yorker Robin Wilson 2013. 192 pages. 40 halftones. 41 line illus. “A thoroughly accessible history of Cl: 978-0-691-15649-1 $26.95 | £18.95 attempts to prove the four-color theorem. [Wilson’s] descriptions . . . New give a fascinating insight into how The Visioneers mathematics moves forward, and How a of Elite Scientists Pursued Space Colonies, how approaches have changed Nanotechnologies, and a Limitless Future over the past 50 years.” W. Patrick McCray —Elizabeth Sourbut, New Scientist “In his fascinating new book, McCray pro les “The simplicity of the four-color the larger-than-life characters and ideas that conjecture is deceptive. Just changed science and technology in the second how deceptive is made clear by half of the 20th century and beyond.” Robin Wilson’s delightful history —Publishers Weekly (starred review) of the quest to resolve it. . . . Four “[A] superb and important book.” Colors Su ce is strewn with good —Keith Cooper, Astronomy Now anecdotes, and the author . . . 2013. 368 pages. 13 halftones. 4 line illus. proves himself skillful at making Cl: 978-0-691-13983-8 $29.95 | £19.95 the mathematics accessible.” —Jim Holt, Review of Forthcoming Books Falling Behind? “Wilson’s lucid history weaves to- Boom, Bust, and the Global Race for Scienti c Talent gether lively anecdotes, biograph- Michael S. Teitelbaum ical sketches, and a non-technical account of the mathematics.” “Filled with fascinating anecdotes and infor- —Science mation about U.S. policy toward the science Princeton Science Library and engineering workforce, this powerful book 2013. 224 pages. 87 color illus. 18 halftones. shows that o cials, industry lobbyists, and 60 line illus. 2 color maps. leading members of the scienti c establishment Pa: 978-0-691-15822-8 $24.95 | £16.95 have time and again tried to make the case that the United States needs more scientists and engineers when there is no evidence of this. With verve and clarity, Falling Behind? raises the level of discourse on science workforce issues.” —Richard Freeman, Harvard University April 2014. 288 pages. 17 line illus. 7 tables. Cl: 978-0-691-15466-4 $29.95 | £19.95 press.princeton.edu general interest • 5 Forthcoming New Paperback The Irrationals The Cosmic Cocktail Honorable Mention, 2012 PROSE Award, A Story of the Numbers You Computing and Information Sciences, Three Parts Dark Matter Association of American Publishers Can’t Count On With a foreword by Chris Bishop Julian Havil “As one of the pioneers in the Nine Algorithms That “From its lively introduction hunt for dark matter, Freese Changed the Future straight through to a rousing weaves together tales of her own The Ingenious Ideas That Drive nish this is a book which can adventures in with Today’s Computers be browsed for its collection of the broader history of this historic John MacCormick interesting facts or studied care- quest. Her book elegantly conveys “MacCormick’s book . . . conveys a fully by anyone with an interest in both the underlying science and sense of wonder—at the beautiful numbers and their history. . . . This the excitement of discovery.” science, rather than the technical is a wonderful book.” —, Princeton feats, that makes computers do —Richard Wilders, MAA Reviews University their magic.” 2012. 312 pages. 100 line illus. Cl: 978-0-691-14342-2 $29.95 | £19.95 Science Essentials —Nature Physics July 2014. 304 pages. 16 color illus. 63 halftones. 2013. 232 pages. 5 halftones. 98 line illus. 1 table. 11 line illus. Pa: 978-0-691-15819-8 $16.95 | £11.95 Cl: 978-0-691-15335-3 $29.95 | £19.95 Cl: 978-0-691-14714-7 $27.95 | £19.95

Also by Julian Havil Impossible? New New Paperback Surprising Solutions to One of Choice’s Editors’ Picks for 2013 One of the Financial Times’ Best Books on Counterintuitive Conundrums Heart of Darkness Science for 2011 “Julian Havil’s Impossible? is a su- One of the Boston Globe’s Best Books on Unraveling the Mysteries of the Science for 2011 perb discussion of proble ms easily Invisible Universe Reinventing Discovery understood by a high schooler, yet Jeremiah P. Ostriker & The New Era of Networked with solutions so counterintuitive Simon Mitton Science as to seem impossible. . . . There are “An excellent book celebrating Michael Nielsen surprises on almost every page.” the contribution to cosmology by —Martin Gardner “Reinventing Discovery will frame many unsung heroes.” 2011. 256 pages. 75 line illus. serious discussion and inspire wild, Pa: 978-0-691-15002-4 $18.95 | £12.95 —Dave Mannion, Popular Astronomy disruptive ideas for the next decade.” Science Essentials —Chris Lintott, Nature 2013. 328 pages. 16 color illus. 40 halftones. 2014. 272 pages. 6 halftones. 8 line illus. Cl: 978-0-691-13430-7 $27.95 | £19.95 Pa: 978-0-691-16019-1 $19.95 | £13.95 Cl: 978-0-691-14890-8 $24.95 | £16.95 6 • general interest Winner of the 2013 Silver Medal in Self- Guesstimation 2.0 Now Available in Paperback Help, Independent Publisher Solving Today’s Problems on X and the City The 5 Elements of the Back of a Napkin Modeling Aspects of Urban Life E ective Thinking Lawrence Weinstein John A. Adam Edward B. Burger & Illustrations by Patricia Edwards Michael Starbird “Read this book and come away “This follow-up to the popular with a fresh view of how cities “Inspirational and engaging but Guesstimation o ers more on the work. Enjoy it for the connections also educational and immensely joy of mathematical estimation, and between mathematics and the practical.” inspiration for the budding analyst.” real world. Share it with your —Anthony J. Sadar, Washington —Nature friends, family, and maybe even a Times 2012. 384 pages. 95 halftones. municipal planning commissioner Pa: 978-0-691-15080-2 $19.95 | £13.95 2012. 168 pages. 1 halftone. or two!” Cl: 978-0-691-15666-8 $19.95 | £13.95 —Sandra L. Arlinghaus, Mathemat- Guesstimation ical Reviews Clippings Solving the World’s Elliptic Tales 2012. 344 pages. 2 halftones. 104 line illus. Curves, Counting, and Number Problems on the Back 8 tables. Theory of a Cocktail Napkin Pa: 978-0-691-16232-4 $19.95 | £13.95 Cl: 978-0-691-15464-0 $27.95 | £19.95 Avner Ash & Robert Gross Lawrence Weinstein & John A. Adam “The authors of Elliptic Tales do a 2008. 320 pages. 72 line illus. superb job in demonstrating the Pa: 978-0-691-12949-5 $19.95 | £13.95 approach that take when they confront unsolved Now Available in Paperback problems involving elliptic curves.” Who’s #1? —Sungkon Chang, Times Higher The Science of Rating and Education Ranking 2012. 280 pages. 52 line illus. 16 tables. Cl: 978-0-691-15119-9 $29.95 | £19.95 Amy N. Langville & Carl D. Meyer Also by Avner Ash & “[A] thorough exploration of the Robert Gross methods and applications of rank- Also by John A. Adam ing for an audience ranging from With a new preface by the A Mathematical Nature authors computer scientists and engineers Walk Fearless Symmetry to high-school teachers to ‘people interested in wagering on just “[A] snappy guide to the mathe- Exposing the Hidden Patterns matics of the outdoors. . . . A sharp of Numbers about anything.’ “ —Nature Physics eye and an ingenious mind are at “The authors are to be admired 2012. 272 pages. 25 halftones. 47 line illus. work on every page.” for taking a very di cult topic and 60 tables. —Laurence A. Marschall, Natural making it . . . more accessible than Pa: 978-0-691-16231-7 $21.95 | £14.95 History Cl: 978-0-691-15422-0 $29.95 | £19.95 it was before.” 2011. 280 pages. 17 color illus. 22 halftones. —Timothy Gowers, Nature 97 line illus. Pa: 978-0-691-15265-3 $18.95 | £12.95 2008. 312 pages. 1 halftone. 2 line illus. Cl: 978-0-691-12895-5 $27.95 | £19.95 Pa: 978-0-691-13871-8 $26.95 | £18.95

Read newsworthy and lively commentary on our new blog at blog.press.princeton.edu press.princeton.edu general interest • 7 Uneducated Guesses Why Cats Land on Their Winner of the 2010 Euler Book Prize, Mathematical Association of America Using Evidence to Uncover Feet One of Choice’s Outstanding Academic Misguided Education Policies And 76 Other Physical Titles for 2009 Howard Wainer Paradoxes and Puzzles Euler’s Gem “[T]hought-provoking. . . . [Wainer] Mark Levi The Polyhedron Formula and the Birth of questions the anecdotal and “[A]n excellent resource for David S. Richeson statistical evidence that underpins understanding some less-obvious many of today’s education policies principles of physics.” “This is an excellent book about a and reform e orts.” —William Baer, Library Journal great man and a timeless formula.” —Library Journal 2012. 208 pages. 90 line illus. —Charles Ashbacher, Journal of 2011. 200 pages. 23 line illus. 17 tables. Pa: 978-0-691-14854-0 $19.95 | £13.95 Cl: 978-0-691-14928-8 $24.95 | £16.95 2012. 336 pages. 36 halftones. 185 line illus. Also by Mark Levi 8 tables. Pa: 978-0-691-15457-2 $16.95 | £11.95 One of Choice’s Outstanding Academic Cl: 978-0-691-12677-7 $27.95 | £19.95 Titles for 2009 One Amazon.com’s Top 10 Science Books for 2009 The Mathematical Mechanic Using Physical Reasoning to Solve Problems “[A]n excellent display of creative, interdisciplinary problem-solving strategies.” Also by Howard Wainer —Mathematics Teacher 2012. 200 pages. 56 halftones. 66 line illus. Picturing the Uncertain 1 table. Winner of the 2013 Euler Book Prize, Pa: 978-0-691-15456-5 $14.95 | £10.95 Mathematical Association of America World Cl: 978-0-691-14020-9 $19.95 | £13.95 How to Understand, Honorable Mention, 2012 PROSE Award, Communicate, and Popular Science and Popular Mathematics, With a new epilogue by the Association of American Publishers Control Uncertainty author With a foreword by through Graphical Display Mathletics Martin Gardner “This is a very well-written book How Gamblers, Managers, Magical Mathematics with subtle analyses and a and Sports Enthusiasts Use The Mathematical Ideas That refreshing approach to the eld Mathematics in Baseball, Animate Great Magic Tricks of . ” Basketball, and Football Persi Diaconis & Ron Graham —Wibke Weber, Information Design Wayne L. Winston “[F]ascinating. . . . Magical Mathe- Journal “Mathletics is like a seat at courtside.” matics [is] a dazzling tour of math- 2011. 280 pages. 11 color illus. 14 halftones. —Mark Cuban, owner of the Dallas based magic tricks.” 81 line illus. 12 tables. Pa: 978-0-691-15267-7 $19.95 | £13.95 Mavericks —Alex Stone, Wall Street Journal Cl: 978-0-691-13759-9 $29.95 | £19.95 2012. 392 pages. 114 line illus. 49 tables. 2011. 264 pages. 133 color illus. 14 halftones. Pa:978-0-691-15458-9 $19.95 | £13.95 56 line illus. 10 tables. Cl: 978-0-691-15164-9 $29.95 | £19.95

8 • general interest princeton puzzlers

This new series includes classic puzzle books that have been published by Princeton University PRINCETON P P PUPress. ZZLERThey include paradoxes,S perplexities, and mathematical conundrums for the serious head scratcher.

New New With a new preface by One of Choice’s Outstanding Academic With a new preface by the author Titles for 1999 the author Chases and Escapes Towing Icebergs, Falling Digital Dice The Mathematics of Pursuit Dominoes, and Other Computational Solutions to and Evasion Adventures in Applied Practical Probability Problems Paul J. Nahin Mathematics Paul J. Nahin “[A] fascinating history of the Robert B. Banks “Interesting and rewarding.” mathematics of pursuit.” “There is something here for every —Physics World —Justin Mullins, New Scientist mathematically inclined reader.” 2013. 288 pages. 1 halftone. 31 line illus. 2012. 288 pages. 5 halftones. 67 line illus. —Robert Matthews, New Scientist 22 tables. Pa: 978-0-691-15501-2 $18.95 | £12.95 Pa: 978-0-691-15821-1 $18.95 | £12.95 Cl: 978-0-691-12514-5 $24.95 | £16.95 2013. 344 pages. 6 halftones. 72 line illus. 42 tables. Pa; 978-0-691-15818-1 $16.95 | £11.95

Slicing Pizzas, Racing Duelling Idiots and Other Across the Board Turtles, and Further Probability Puzzlers The Mathematics of Adventures in Applied Paul J. Nahin Chessboard Problems John J. Watkins Mathematics “These puzzles invite the reader to Robert B. Banks think intuitively, mathematically, “Watkins o ers an excellent invita- tion to serious mathematics.” “Banks turns trivial questions into and creatively.” —Choice mind-expanding demonstrations —Mathematics Teacher 2012. 272 pages. 204 line illus. of the magical powers of mathe- 2012. 304 pages. Pa: 978-0-691-15500-5 $18.95 | £12.95 Pa: 978-0-691-15498-5 $18.95 | £12.95 matics.” —Booklist 2012. 304 pages. 6 halftones. 85 line illus. 31 tables. Pa: 978-0-691-15499-2 $18.95 | £12.95

press.princeton.edu princeton puzzlers • 9 New Paperback With a new foreword by Ze’ev Rosenkranz Albert Einstein, The Human Side Glimpses from His Archives Albert Einstein Edited by Helen Dukas & Banesh Ho mann “A fresh and delicious little anthology. . . . These varied, penetrating, warm and open remarks to queens and schoolchildren, friends and antago- nists, philosophers and sophomores have been sensitively chosen by two old friends of Einstein’s.” New —Scienti c American Tesla “Dukas and Ho mann demonstrate as clearly as Inventor of the Electrical Age anybody could expect that Einstein was a courte- W. Bernard Carlson ous, kindly, witty, fearless and lonely man.” “Superb. . . . Carlson brings to life —Washington Post Tesla’s extravagant self-promotion, 2013. 184 pages. as well as his eccentricity and Pa: 978-0-691-16023-8 $16.95 | £11.95 innate talents, revealing him as a celebrity-inventor of the ‘second New Paperback industrial revolution’ to rival Thom- One of Choice’s Outstanding Academic Titles for 2007 as Alva Edison.” Einstein on Politics —W. Patrick McCray, Nature His Private Thoughts and Public Stands on Nationalism, Zionism, “Carefully researched and thought- War, Peace, and the Bomb fully written. . . . Clearly surpassing Edited by David E. Rowe & Robert Schulmann earlier accounts, [this] will be the “A goldmine for readers interested in Einstein gold standard for Tesla biography.” as an engaged intellectual of his era. [The —Thomas J. Misa, Science editors] have done an excellent job of collecting, 2013. 520 pages. 56 halftones. 32 line illus. thematically assembling and historically Cl: 978-0-691-05776-7 $29.95 | £19.95 contextualizing Einstein’s private letters and public statements on the great political issues of his time.” —Yaron Ezrahi, Nature 2013. 576 pages. 24 halftones. Pa: 978-0-691-16020-7 $19.95 | £13.95

New Paperback With a foreword by Freeman Dyson The Ultimate Quotable Einstein Collected and edited by Alice Calaprice Wind Wizard Praise for previous editions: Alan G. Davenport and the Art “All of us who lack Einstein’s intellectual and of Wind Engineering spiritual gifts owe a debt of gratitude to Princeton University Press for having humanized him in this “Wind Wizard is an unlikely gem, innovative way.” a biography of both a man and a —Timothy Ferris, New York Times Book Review eld.” 2013. 608 pages. 27 halftones. —Allan McRobie, Nature Pa: 978-0-691-16014-6 $16.95 | £11.95 Cl: 978-0-691-13817-6 $24.95 | £16.95 2012. 288 pages. 95 halftones. 16 line illus. Cl: 978-0-691-15153-3 $29.95 | £19.95

Connect with us: Google+ @ Princeton University Press 10 • biography The Centenary Edition Forthcoming New With a foreword by Douglas Enlightening Symbols Einstein and the Quantum Hofstadter and a new preface A Short History of Mathematical The Quest of the Valiant Swabian by the author Notation and Its Hidden Powers A. Douglas Stone Alan Turing Joseph Mazur “A wonderful reminder that The Enigma “Joseph Mazur teaches us that the Einstein’s monumental role in the Andrew Hodges history of mathematical notation is development of contemporary “One of the nest scienti c biogra- the history of human civilization.” science is even more profound phies I’ve ever read: authoritative, —Kenneth A. Ribet, University of than history has allowed.” superbly researched, deeply California, Berkeley —Kirkus Reviews sympathetic, and beautifully told.” “Enlightening Symbols explains “With his lucid and engaging style, —Sylvia Nasar, author of A Beauti- the origins of symbols used A. Douglas Stone has captured ful Mind in mathematics. But this fun one of the most interesting tales 2013. 632 pages. 26 halftones. 20 line illus. Pa: 978-0-691-15564-7 $24.95 book is so much more than this. in the history of science. Despite For sale only in the United States and its Filled with interesting stories, Einstein’s later discomfort with dependencies and territories captivating material, and delightful quantum theory, Stone shows how observations, it o ers readers a absolutely instrumental Einstein better understanding of the nature was in its development. It’s a of mathematics and a wonderful wonderful story that reveals the overview of mathematical history.” essence of Einstein’s genius and —Dominic Klyve, Central Washing- creativity, and Stone is exactly the ton University right person to tell it. I can hear From words to abbreviations to Einstein chuckling in anticipation.” symbols, this book shows how —Walter Isaacson, author of math evolved to the familiar forms Einstein: His Life and Universe and we use today. Steve Jobs April 2014. 296 pages. 8 halftones. 38 line illus. 2013. 344 pages. 18 halftones. 5 line illus. 4 tables. Cl: 978-0-691-13968-5 $29.95 | £19.95 Henri Poincaré Cl: 978-0-691-15463-3 $27.95 | £19.95 A Scienti c Biography Jeremy Gray Also by Joseph Mazur “[M]asterly. . . . Gray encapsulates What’s Luck Got to Do with It? Poincaré’s multiple dimensions; The History, Mathematics, and Psychology his intellectual biography is both of the Gambler’s Illusion a tour de force and a triumph of readability.” “From the dice-playing of Neolithic peoples to modern lotteries and casi- —George Szpiro, Nature no capitalism, [Mazur] tracks the history of placing bets. He explains both 2012. 608 pages. 13 halftones. 26 line illus. the mathematics of chance and the psychological and emotional factors Cl: 978-0-691-15271-4 $35.00 | £24.95 that entice some people to risk it all to win that improbable jackpot.” —Joanne Baker, Nature 2010. 296 pages. 35 halftones. 10 line illus. 12 tables. Cl: 978-0-691-13890-9 $29.95 | £19.95

Connect with us: Facebook @ PrincetonUniversityPress biography history & philosophy of science • 11 Forthcoming Taming the Unknown A History of from Antiquity to the Early Twentieth Century Victor J. Katz & Karen Hunger Parshall “This ne survey of the history of algebra is clearly and engagingly written. It will become the standard reference on this topic by virtue of its scholarship, coverage, and readability.” —Tom Archibald, Simon Fraser University What is algebra? For some, it is an abstract language of x’s and y’s. For mathematics majors and professional mathematicians, it is a world of Shortlisted for the 2013 Neumann Book axiomatically de ned constructs like groups, rings, and elds. Taming the Prize, British Society for the History of Unknown considers how these two seemingly di erent types of algebra Mathematics evolved and how they relate. Heavenly Mathematics June 2014. 480 pages. 29 halftones. 51 line illus. 3 maps. The Forgotten Art of Spherical Cl: 978-0-691-14905-9 $49.50 | £34.95 Trigonometry Glen Van Brummelen

New “Glen van Brummelen has written Invisible in the Storm a wonderful introduction to the forgotten subject of spherical The Role of Mathematics in Understanding Weather trigonometry that draws on the Ian Roulstone & John Norbury history of the subject to illuminate “With illuminating descriptions and minimal the mathematics itself.” technicality, Invisible in the Storm provides a —John M. Steele, Metascience vivid historical perspective on how the devel- 2013. 216 pages. 11 color plates. 30 halftones. opment of mathematical ideas, together with 93 line illus. Cl: 978-0-691-14892-2 $35.00 | £24.95 modern computer technology, has completely transformed our ability to understand and pre- dict the weather. This is a gripping and highly informative book.” —Roger Penrose, author of Cycles of Time: An Extraordinary New View of the Universe 2013. 384 pages. 15 color illus. 76 halftones. 77 line illus. Cl: 978-0-691-15272-1 $35.00 | £24.95

New Paperback The Universe in Zero Words The Story of Mathematics as Told through Equations Dana Mackenzie Newton and the Origin “Quietly learned and beautifully illustrated, of Civilization Mackenzie’s book is a celebration of the suc- Jed Z. Buchwald & cinct and the singular in human expression.” Mordechai Feingold —Nature “Buchwald and Feingold’s book is “Mackenzie’s writing is understated and clear. full of remarkable details, insights, The complex ideas he explains so lucidly are and incidents. . . . Certainly, the beautiful in themselves, but this book is physi- book is essential reading for cally beautiful too, imaginatively illustrated and anyone with a serious interest stylishly designed to complement its subject.” either in Newton or in the study —Irish Times of ancient history in the 17th and 2013. 224 pages. 26 color illus. 17 halftones. 12 line illus. 18th centuries.” Pa: 978-0-691-16016-0 $19.95 | £13.95 —Ernest Davis, SIAM News Cl: 978-0-691-15282-0 $27.95 | £19.95 Not for sale in Australia 2012. 544 pages. 62 halftones. 42 line illus. 17 tables. Cl: 978-0-691-15478-7 $49.50 | £34.95

12 • history & philosophy of science Circles Disturbed A Wealth of Numbers The Blind Spot The Interplay of Mathematics An Anthology of 500 Years of Science and the Crisis of and Narrative Popular Mathematics Writing Uncertainty Edited by Apostolos Doxiadis Edited by Benjamin William Byers & Wardhaugh “Byers incorporates many brilliant “This collection is a pioneering “There’s something in here for thinkers and seminal scienti c e ort to trace the hidden con- everyone, and it’s a great contribu- breakthroughs into his discussion, nections between mathematics tion to the mathematics literature o ering the cogent, invigorating and narrative. It succeeds magnif- to have it all in one place.” argument that only by embracing icently.” —Mark Bollman, MAA Reviews uncertainty can we truly progress.” —Doron Zeilberger, Rutgers 2012. 392 pages. 39 halftones. 19 line illus. —Kirkus Reviews Cl: 978-0-691-14775-8 $45.00 | £30.95 University 2011. 224 pages. 2 halftones. 3 line illus. 2012. 592 pages. 91 line illus. Cl: 978-0-691-14684-3 $24.95 | £16.95 Cl: 978-0-691-14904-2 $49.50 | £34.95

A Community of Scholars Impressions of the Institute for Also by William Byers Third Edition Advanced Study One of Library Journal’s Best Sci-Tech Books The Crest of the Peacock in Mathematics for 2007 This beautifully illustrated anthol- Non-European Roots of One of Choice’s Outstanding Academic Titles for 2007 Mathematics ogy celebrates eighty years of history and intellectual inquiry at How Mathematicians George Gheverghese Joseph the Institute for Advanced Study, Think “Enthralling. . . . After reading it, we one of the world’s leading centers Using Ambiguity, Contradiction, cannot see the past in the same for theoretical research. Featuring and Paradox to Create comforting haze of age-old stories, essays by current and former Mathematics faithfully and uncritically retold from faculty and members along with “Ambitious, accessible and teacher to pupil down the years.” photographs by Serge J-F. Levy, the provocative. . . . Everyone should —New Scientist book captures the spirit of curi- read Byers.” 2010. 592 pages. 6 halftones. 164 line illus. osity, freedom, and comradeship 18 tables. 6 maps. —Donal O’Shea, Nature Pa: 978-0-691-13526-7 $35.00 | £24.95 that is a hallmark of this unique 2010. 424 pages. 6 halftones. 48 line illus. community of scholars. Pa: 978-0-691-14599-0 $24.95 | £16.95 2011. 128 pages. 89 halftones. Cl: 978-0-691-15136-6 $24.95 | £16.95

Connect with us: Twitter @ PrincetonUPress history & philosophy of science • 13 The following books were written speci cally for courses. Throughout the catalog you will nd other books that are also suitable for class adoption. They are identi ed by TEXTBOOK. Professors who wish to consider a book from this catalog for course use may request an examination copy. For more information please visit: press.princeton.edu/class.html.

Forthcoming—Second Edition Introduction to Computational Science Modeling and Simulation for the Sciences Angela B. Shi et & George W. Shi et New Praise for the previous edition: “Introduction to Computational Science is useful for students and others A Historical Approach who want to obtain some of the basic skills of the eld. Its impressive John J. Watkins collection of projects allows readers to quickly enjoy the power of mod- “This is a very nice introductory ern computing as an essential tool in building scienti c understanding.” text on number theory. It has a —Wouter van Joolingen, Physics Today good selection of topics, lots of “A masterpiece. I know of nothing comparable. I give it ve stars.” nice history, and many exercises. —James M. Cargal, UMAP Journal There is a lot to like here.” —David A. Cox, Amherst College Computational science is an exciting new eld at the intersection of the sciences, , and mathematics because much scienti c “Watkins has advanced an out- investigation now involves computing as well as theory and experiment. standing and engaging treatise on This textbook provides students with a versatile and accessible introduc- the elementary theory of numbers. tion to the subject. It assumes only a background in high school algebra, I expect it to be extremely valuable enables instructors to follow tailored pathways through the material, and in inspiring young minds to think is the only textbook of its kind designed speci cally for an introductory deeply about mathematics, and course in the computational science and engineering curriculum. While intend to use this text in my own the text itself is generic, an accompanying website o ers tutorials and courses on the topic.” les in a variety of software packages. —Alex Kontorovich, Yale University April 2014. 816 pages. 3 halftones. 192 line illus. 82 tables. & The natural numbers have been Cl: 978-0-691-16071-9 $99.50 | £69.95 studied for thousands of years, yet most undergraduate textbooks Forthcoming present number theory as a long Biomolecular Feedback Systems list of theorems with little mention Domitilla Del Vecchio & Richard M. Murray of how these results were discov- ered or why they are important. “This is an excellent compendium of the most important techniques This book emphasizes the histori- and results in the application of feedback and control to biomolecular cal development of number theo- systems. Biomolecular Feedback Systems is very timely, and a must-read ry, describing methods, theorems, for students and researchers.” and proofs in the contexts in which —Ernesto Estrada, University of Strathclyde they originated, and providing an This book provides an accessible introduction to the principles and accessible introduction to one of tools for modeling, analyzing, and synthesizing biomolecular systems. the most fascinating subjects in Featuring numerous exercises and illustrations throughout, Biomolecular mathematics. Feedback Systems is the ideal textbook for advanced undergraduates and 2014. 592 pages. 18 halftones. & graduate students. For researchers, it can also serve as a self-contained 22 line illus. Cl: 978-0-691-15940-9 $75.00 | £52.00 reference on the feedback control techniques that can be applied to biomolecular systems. August 2014. 392 pages. 13 halftones. 165 line illus. Cl: 978-0-691-16153-2 $85.00 | £59.00 &

Solutions Manual available is indicated by &. Visit press.princeton.edu/class_use/solutions.html 14 • princeton graduate & undergraduate textbooks Forthcoming New New Three Views of Logic Numerical Methods Einstein Gravity in a Mathematics, Philosophy, and Design, Analysis, and Computer Nutshell Computer Science Implementation of Algorithms A. Zee Donald W. Loveland, Richard E. Anne Greenbaum & Hodel & S. G. Sterrett Timothy P. Chartier “Einstein Gravity in a Nutshell is a remarkably complete and “Loveland, Hodel, and Sterrett are “This is a charming book, well thorough textbook on general all internationally recognized and worth consideration for the next relativity, written in a refreshing leading researchers in their eld. course.” and engaging style. Zee leads us Their new textbook gives an excel- —William J. Satzer, MAA Focus through all the major intellectual lent introduction to the resolution “This is an excellent introduction steps that make what is surely one of propositional and rst-order to the exciting world of numerical of the most profound and beauti- predicate logic, and an outstand- analysis. Ful lling the need for a ful theories of all time. The book is ing overview of computability modern textbook on numerical enjoyable and informative in equal theory. The examples and exercises methods, this volume has a measure. Quite an achievement.” are well chosen, and the material wealth of examples that will keep —Pedro Ferreira, University of is accessible to students without a students interested in the material. Oxford logic background.” The mathematics is completely In a Nutshell —Frank Wolter, University of rigorous and I applaud the authors 2013. 888 pages. 50 halftones. 150 line illus. Liverpool for doing such a marvelous job.” Cl: 978-0-691-14558-7 $90 .00 | £62.00 Demonstrating the di erent roles —Michele Benzi, Emory University that logic plays in the disciplines Numerical Methods provides a of computer science, mathematics, clear and concise exploration and philosophy, this concise of standard numerical analysis undergraduate textbook covers topics, as well as nontraditional select topics from three di erent ones, including mathematical areas of logic: proof theory, com- modeling, Monte Carlo methods, putability theory, and nonclassical Markov chains, and fractals. Filled logic. The book balances acces- with appealing examples that will sibility, breadth, and rigor, and is motivate students, the textbook designed so that its materials will considers modern application t into a single semester. Its dis- areas, such as information retrieval Also by A. Zee tinctive presentation of traditional and animation, and classical topics logic material will enhance readers’ Second Edition from physics and engineering. Ex- Quantum Field Theory in capabilities and mathematical ercises use MATLAB and promote a Nutshell maturity. understanding of computational February 2014. 344 pages. & results. “[A] beautiful text written with 7 line illus. 10 tables. Pa: 978-0-691-16044-3 $49.50 | £34.95 2012. 472 pages. 78 halftones. & infectious enthusiasm, and I 145 line illus. thoroughly recommend it.” Cl: 978-0-691-15122-9 $95.00 | £65.00 —S. Virmani, Contemporary Physics In a Nutshell 2010. 608 pages. 95 line illus. Cl: 978-0-691-14034-6 $85.00 | £59.00 Not for sale in South Asia press.princeton.edu/textbooks/ textbooks • 15 Winner of the 2012 PROSE Award, The Calculus Lifesaver “We are all fortunate that a math- Architecture and Urban Planning, Association of American Publishers All the Tools You Need to Excel ematician with the experience Mathematical Excursions at Calculus and vision of E. M. Stein, together to the World’s Great Adrian Banner with his energetic young collab- orator R. Shakarchi, has given us Buildings “The Calculus Lifesaver is a welcome this series.” Alexander J. Hahn addition to the arsenal of calculus —Steven George Krantz, Mathe- teaching aids.” “Alexander Hahn has provided a matical Reviews —MAA Online thorough and beautifully illus- A Princeton Lifesaver Study Guide trated mathematical look at the 2007. 752 pages. 350 line illus. Introduction to Further world’s greatest buildings.” Pa: 978-0-691-13088-0 $24.95 | £16.95 —John Burgee, fellow of the Amer- Topics in Analysis Elias M. Stein & ican Institute of Architects Honors Calculus Rami Shakarchi 2012. 348 pages. 16 color illus. 111 halftones. Charles R. MacCluer 233 line illus. 2 tables. 2011. 448 pages. 27 line illus. Cl: 978-0-691-14520-4 $49.50 | £34.95 “MacCluer’s book . . . is calculus Cl: 978-0-691-11387-6 $85.00 | £59.00 ‘done right.’ “ —Steven G. Krantz, UMAP Journal 2006. 184 pages. 38 line illus. Cl: 978-0-691-12533-6 $62.95 | £43.95

Calculus of Variations and Optimal A Concise Introduction Daniel Liberzon “This is an extremely well-crafted textbook. If you plan to teach a rst course to advanced students Also by Elias M. Stein & Introduction to on the calculus of variations and Rami Shakarchi optimal control and you like the Fourier Analysis Phillip Bonacich & Philip Lu selection of topics that the author An Introduction has chosen to present (and I do), it “A rst-rate introduction. . . . This 2003. 320 pages. 40 line illus. book brings mathematics to life is the text you need.” Cl: 978-0-691-11384-5 $90.00 | £62.00 for students who may entertain —Zvi Artstein, Mathematical Not for sale in South Asia doubts about the role of math in Reviews Clippings sociology.” 2012. 256 pages. 63 line illus. & Cl: 978-0-691-15187-8 $75.00 | £52.00 —Peter Abell, professor emeritus, 2003. 392 pages. 64 line illus. Cl: 978-0-691-11385-2 $90.00 | £62.00 London School of Economics and Not for sale in South Asia Political Science 2012. 240 pages. 83 line illus. 30 tables. Cl: 978-0-691-14549-5 $45.00 | £30.95 Measure Theory, Integration, and Hilbert Spaces Solutions Manual available is indicated by . & 2005. 392 pages. 51 line illus. Visit press.princeton.edu/class_use/solutions.html Cl: 978-0-691-11386-9 $90.00 | £62.00 Not for sale in South Asia 16 • princeton graduate & undergraduate textbooks Numerical Analysis Why You Hear What Biophysics L. Ridgway Scott You Hear Searching for Principles William Bialek “A student who picks up this book An Experiential Approach to Sound, Music, and and works through it systematical- “This book is full of insights that Psychoacoustics ly will learn a lot of interesting and were new to me. It explores myriad Eric J. Heller important mathematics.” questions that are both deep —David S. Watkins, SIAM Review “Rich in explanations and do-it- background themes in biology, 2011. 344 pages. 33 line illus. 11 tables. yourself activities, and assuming and also fascinating to physicists. Cl: 978-0-691-14686-7 $78.50 | £55.00 only a high school background, Bialek is a dean of this eld, and an this is the best text I know on how inspiring teacher.” Winner of the 2011 Harold Chestnut Control Engineering Textbook Prize, International sound actually works.” —Philip Nelson, University of Federation of Automatic Control —David Politzer, Nobel Laureate Pennsylvania Feedback Systems in Physics 2012. 640 pages. 62 color illus. 15 halftones. 141 line illus. 1 table. An Introduction for Scientists 2013. 624 pages. 397 color illus. Cl: 978-0-691-13891-6 $95.00 | £65.00 and Engineers Cl: 978-0-691-14859-5 $99.50 | £69.95 Karl Johan Åström & Richard M. Murray “[T]his is a refreshing text which is delightful to read, and which even experts in the area may nd a valuable resource.” —Matthias Kawski, Mathematical Reviews 2008. 408 pages. 24 halftones. & 183 line illus. 5 tables. Cl: 978-0-691-13576-2 $72.50 | £50.00 Not for sale in South Asia Mathematical Tools for Agent-Based and Discrete and Understanding Infectious Individual-Based Modeling Computational Geometry Disease Dynamics A Practical Introduction Satyan L. Devadoss & Odo Diekmann, Hans Steven F. Railsback & Joseph O’Rourke Heesterbeek & Tom Britton Volker Grimm “Discrete and Computational “This landmark volume describes “Railsback and Grimm have written a Geometry meets an urgent need for readers how one should view superb introduction to agent-based for an undergraduate text bridging the theoretical side of mathemat- models. They combine hands-on the theoretical sides and the ical epidemiology as a whole. . . . I programming exercises, introduc- applied sides of the eld. It is an know of no better overview of the tions to some of the core concepts in excellent choice as a textbook for subject.” complex systems, and instruction in an undergraduate course!” —Fred Brauer, University of British model design and analysis.” —Egon Schulte, Zentralblatt MATH Columbia —Scott E. Page, author of Diversity 2011. 272 pages. 182 color illus. Princeton Series in Theoretical and and Complexity 4 line illus. 7 tables. & Computational Biology 2011. 352 pages. 62 line illus. 9 tables. Cl: 978-0-691-14553-2 $65.00 | £44.95 2012. 520 pages. 53 line illus. 1 table. Pa: 978-0-691-13674-5 $55.00 | £37.95 Cl: 978-0-691-15539-5 $90.00 | £62.00 Cl: 978-0-691-13673-8 $99.50 | £69.95 press.princeton.edu/textbooks/ textbooks • 17 Forthcoming Agent_Zero Toward Neurocognitive Foundations for Generative Social Science Joshua M. Epstein “Agent_Zero o ers a solution to some of social science’s great puzzles.” —George A. Akerlof, Nobel Laureate in Economics In this pioneering synthesis, Joshua Epstein introduces a new theoretical entity: Agent_Zero. This software individual, or “agent,” is endowed New with distinct emotional/a ective, cognitive/ deliberative, and social modules. Grounded in Alan Turing’s Systems of contemporary neuroscience, these internal com- Logic ponents interact to generate observed, often The Princeton Thesis far-from-rational, individual behavior. When multiple agents of this new Edited and introduced by type move and interact spatially, they collectively generate an astonish- Andrew W. Appel ing range of dynamics spanning the elds of social con ict, psychology, “For me, this is the most interesting public health, law, network science, and economics. of Alan Turing’s writings, and it is Princeton Studies in Complexity a real delight to see a facsimile of March 2014. 272 pages. 113 color illus. 3 tables. the original typescript here. The Cl: 978-0-691-15888-4 $49.5 0 | £34.95 work is packed with ideas that have turned out to be signi cant New for all sorts of current research Mutualistic Networks areas in computer science and Jordi Bascompte & Pedro Jordano mathematics.” —Barry Cooper, University of “Until recently, the study of mutualism was replete with lovely natural Leeds history details, but largely divorced from ecological theory. In this ne book, Bascompte and Jordano take an important step toward rectifying 2013. 160 pages. Cl: 978-0-691-15574-6 $24.95 | £16.95 this situation, by applying a rich array of network tools and phylogeneti- cally informed analyses to webs of mutualistic interactions.” —Robert D. Holt, University of Florida Monographs in Population Biology, 53 2014. 224 pages. 2 halftones. 88 line illus. Cl: 978-0-691-13126-9 $45.00 | £30.95

New Handbook of Meta-analysis in Ecology and Evolution Edited by Julia Koricheva, Jessica Gurevitch & Kerrie Mengersen “A superb guide to the conduct and interpreta- tion of meta-analysis, from an exceptional team Second Edition of international experts. This comprehensive Matrix Mathematics manual covers essential concepts, steps, and Theory, Facts, and Formulas standards for rigorous research synthesis in Dennis S. Bernstein ecology and evolutionary biology. Its clear prose, helpful illustrations, and worked “The book is a well-organized examples will be useful for beginners and treasure trove of information for experts alike. Highly recommended for use as a anyone interested in matrices and textbook or for self-study.” their applications.” —Julia Littell, coauthor of Systematic Reviews and Meta-Analysis —Henry Ricardo, MAA Reviews 2013. 520 pages. 58 line illus. 45 tables. 2009. 1184 pages. 4 line illus. Pa: 978-0-691-13729-2 $65.00 | £44.95 Pa: 978-0-691-14039-1 $78.50 | £55.00 Cl: 978-0-691-13728-5 $99.50 | £69.95

18 • mathematical sciences Hybrid TEXTBOOK Honorable Mention, 2006 Award for Best Professional/Scholarly Book in Computer TEXTBOOK Dynamical Systems and Information Science, Association of An Introduction Modeling, Stability, and American Publishers Steven Tadelis Google’s PageRank and Robustness “The book is enjoyable to read and Rafal Goebel, Ricardo G. Beyond truly an enrichment in game theo- The Science of Search Engine Sanfelice & Andrew R. Teel ry. It is widely well-structured and Rankings “The book is carefully written well-written and mathematically Amy N. Langville & and contains many examples. It correct. The purpose is given per- Carl D. Meyer will be a good resource for both fectly. I recommend the book for researchers already familiar with “[A] must-read for those interested researchers and graduate students hybrid systems and those starting in how search engines work.” who wants to get some insight in from scratch.” —Michael W. Berry, SIAM Review the area of game theory.” —Daniel Liberzon, Mathematical 2012. 240 pages. 11 halftones. 26 line illus. —Sirma Zeynep, Zentralblatt MATH Pa: 978-0-691-15266-0 $24.95 | £16.95 Reviews Clippings Cl: 978-0-691-12202-1 $55.00 | £37.95 2013. 416 pages. 87 line illus. 1 table. Cl: 978-0-691-12908-2 $50.00 | £34.95 2012. 232 pages. 45 line illus. Not for sale in South Asia Cl: 978-0-691-15389-6 $79.50 | £55.00 primers in complex systems

Phase Transitions Ricard V. Solé 2011. 240 pages. 6 halftones. 67 line illus. 1 table. Pa: 978-0-691-15075-8 $35.00 | £24.95

One of Choice’s Outstanding Academic Titles for 2010 New Ant Encounters Spin Glasses and Complexity Interaction Networks and Daniel L. Stein & Charles M. Newman Colony Behavior Spin glasses are disordered magnetic systems that have led to the devel- Deborah M. Gordon opment of mathematical tools with an array of real-world applications, 2010. 184 pages. 2 halftones. 1 line illus. from airline scheduling to neural networks. Spin Glasses and Complexity Pa: 978-0-691-13879-4 $24.95 | £16.95 o ers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, Diversity and Complexity and how they are opening up new ways of thinking about complexity. Scott E. Page 2013. 336 pages. 5 halftones. 48 line illus. 2010. 304 pages. 19 line illus. 26 tables. Pa: 978-0-691-14733-8 $39.95 | £27.95 Pa: 978-0-691-13767-4 $23.95 | £16.95 press.princeton.edu mathematical sciences • 19 princeton series in ingrid daubechies, weinan e, jan karel lenstra & endre süli, series editors

Forthcoming Robust Optimization Hidden Markov Processes of Deterministic and Aharon Ben-Tal, Laurent El Theory and Applications to Stochastic Problems Ghaoui & Arkadi Nemirovski Biology in Complex Media “[T]his reference book gives an M. Vidyasagar Electromagnetics excellent and stimulating account “This book provides a terri c G. F. Roach, I. G. Stratis & of the classical and advanced introduction to an important and A. N. Yannacopoulos results in the eld, and should be widely studied eld—Markov pro- consulted by all researchers and “This monograph is of a very high cesses (including hidden Markov practitioners.” standard, allowing the reader to processes)—with a particular view —Joseph Frédéric Bonnans, learn many facets of the rapidly toward applications to problems in Zentralblatt MATH growing eld of complex media biology. With a wonderful balance and to get up-to-date information 2009. 568 pages. 36 line illus. 41 tables. of rigor, intuition, and choice of Cl: 978-0-691-14368-2 $78.50 | £55.00 on a number of open research topics, the book gives a unique problems.” treatment of the subject for those —Vilmos Komornik, Mathematical Wassim Haddad, Winner of the 2014 interested in both fundamental Pendray Aerospace Literature Award, Reviews American Institute of Aeronautics and theory and important applications.” Astronautics 2012. 400 pages. —Sanjeev Kulkarni, Princeton Cl: 978-0-691-14217-3 $99.50 | £69.95 Stability and Control of University Large-Scale Dynamical This book explores important Matrix Completions, Systems aspects of Markov and hidden Moments, and Sums of A Vector Dissipative Systems Markov processes and the Approach Hermitian Squares applications of these ideas to Wassim M. Haddad & Mihály Bakonyi & various problems in computational Sergey G. Nersesov Hugo J. Woerdeman biology. The book starts from rst “The monograph is an excellent “This volume is warmly recom- principles, so that no previous up-to-date authoritative reference mended to those students who knowledge of probability is neces- covering original results which are want to get acquainted with sary. However, the work is rigorous presented in a rigorous, uni ed the important eld of matrix and mathematical, making it useful framework with examples. . . . The completion, interpolation and to engineers and mathematicians, book will be useful primarily to moment problems, having many even those not interested in applied mathematicians, control applications in areas such as biological applications. theorists and engineers, and electrical engineering, computer July 2014. 304 pages. 50 line illus. anyone dealing with Lyapunov Cl: 978-0-691-13315-7 $59.50 | £41.95 science and physics. It will certainly stability and control of nonlinear serve also as an indispensable, interconnected dynamic systems.” basic reference for researchers.” —Lubomir Bakule, Zentralblatt —László Kérchy, Acta-Scientiarum- MATH Mathematicarum 2012. 392 pages. 60 line illus. 3 tables. 2011. 536 pages. 5 line illus. Cl: 978-0-691-15346-9 $99.5 0 | £69.95 Cl: 978-0-691-12889-4 $79.50 | £55.00

20 • princeton series in applied mathematics studies phillip a. gri ths, john n. mather & elias m. stein, series editors

Forthcoming Forthcoming New Hangzhou Lectures on Chow Rings, Degenerate Di usion Eigenfunctions of the Decomposition of Operators Arising in Laplacian the Diagonal, and the Population Biology Christopher D. Sogge Topology of Families Charles L. Epstein & Rafe Mazzeo Based on lectures given at Zheji- ang University in Hangzhou, China, In this book, Claire Voisin provides This book provides the mathemat- and Johns Hopkins University, this an introduction to algebraic ical foundations for the analysis book introduces eigenfunctions on cycles on complex algebraic of a class of degenerate elliptic Riemannian . Christopher varieties, to the major conjectures operators de ned on manifolds Sogge gives a proof of the sharp relating them to , and with corners, which arise in a Weyl formula for the distribution even more precisely to Hodge variety of applications such as of eigenvalues of Laplace-Beltrami structures on cohomology. The population genetics, mathematical operators, as well as an improved volume is intended for both nance, and economics. The results version of the Weyl formula, the students and researchers, and discussed in this book prove the Duistermaat-Guillemin theorem not only presents a survey of the uniqueness of the solution to the under natural assumptions on the geometric methods developed in Martingale problem and therefore geodesic  ow. Sogge shows that the last thirty years to understand the existence of the associated there is quantum ergodicity of the famous Bloch-Beilinson con- Markov process. eigenfunctions if the geodesic  ow jectures, but also examines recent 2013. 320 pages. 3 line illus. is ergodic. Pa: 978-0-691-15715-3 $75.00 | £52.00 work by Voisin. Cl: 978-0-691-15712-2 $165.00 | £115.00 March 2014. 208 pages. 1 line illus. March 2014. 176 pages. Pa: 978-0-691-16078-8 $75.00 | £52.00 Pa: 978-0-691-16051-1 $75.00 | £52.00 Cl: 978-0-691-16075-7 $165.00 | £115.00 Cl: 978-0-691-16050-4 $165.00 | £115.00 The Gross-Zagier Formula on Shimura Curves New Xinyi Yuan, Shou-wu Zhang & Spaces of PL Manifolds and Categories of Simple Maps Wei Zhang Friedhelm Waldhausen, Bjørn Jahren & John Rognes The Gross-Zagier Formula on Shimu- Since its introduction by Friedhelm Waldhausen in the 1970s, the ra Curves will be of great use to algebraic K-theory of spaces has been recognized as the main tool for students wishing to enter this area studying parametrized phenomena in the theory of manifolds. However, and to those already working in it. a full proof of the equivalence relating the two areas has not appeared 2012. 272 pages. until now. This book presents such a proof, essentially completing Wald- Pa: 978-0-691-15592-0 $75.00 | £52.00 Cl: 978-0-691-15591-3 $150.00 | £103.00 hausen’s program from more than thirty years ago. 2013. 192 pages. 5 line illus. Pa: 978-0-691-15776-4 $75.00 | £52.00 Cl: 978-0-691-15775-7 $165.00 | £115.00

For a complete listing of all books in the series please visit: press.princeton.edu/math press.princeton.edu annals of mathematics studies • 21 annals of mathematics studies

The Decomposition of Global Conformal Invariants Spyros Alexakis This book addresses a basic question in di erential geometry that was rst considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies. The question concerns conformally invariant functionals on the space of Riemannian metrics over a given . These functionals act on a metric by rst constructing a Rieman- nian scalar out of it, and then integrating this scalar over the manifold. Suppose this integral remains invariant under conformal re-scalings of the underlying metric. What information can one then deduce about the Riemannian scalar? Deser and Schwimmer asserted that the Riemannian Convolution and scalar must be a linear combination of three obvious candidates, each of Equidistribution which clearly satis es the required property: a local conformal invariant, Sato-Tate Theorems for a divergence of a Riemannian vector eld, and the Chern-Gauss-Bonnet Finite-Field Mellin Transforms integrand. This book provides a proof of this conjecture. Nicholas M. Katz 2012. 464 pages. “The book is written in a clear and Pa: 978-0-691-15348-3 $75.00 | £52.00 Cl: 978-0-691-15347-6 $165.00 | £115.00 enlightening style. The author provides the reader with many examples that are developed Mumford-Tate Groups and Domains throughout a dozen chapters. Their Geometry and These examples help understand Mark Green, Phillip A. Gri ths & Matt Kerr and clarify the depth and the vari- Mumford-Tate groups are the fundamental symmetry groups of Hodge ety of applications of the beautiful theory, a subject which rests at the center of contemporary complex main equidistribution statement . This book is the rst comprehensive exploration that relies on rather complicated of Mumford-Tate groups and domains. Containing basic theory and a and subtle algebrageometric wealth of new views and results, it will become an essential resource for arguments.” graduate students and researchers. —Florent Jouve, Mathematical 2012. 304 pages. 36 line illus. 5 tables. Reviews Clippings Pa: 978-0-691-15425-1 $75.00 | £52.00 2012. 212 pages. Cl: 978-0-691-15424-4 $165.00 | £115.00 Pa: 978-0-691-15331-5 $75.00 | £52.00 Cl: 978-0-691-15330-8 $165.00 | £115.00

Some Problems of Unlikely Intersections in Fréchet Di erentiability Arithmetic and Geometry of Lipschitz Functions Umberto Zannier and Porous Sets in With appendixes by David Masser Banach Spaces “Zannier’s book is well written and a pleasure to read. . . . [T]he author , always makes an e ort to point out key ideas and key steps, so a reader David Preiss & Jaroslav Tišer who wants to read and understand the complete proofs in this technical- “[T]his is a very deep and complete ly demanding eld will nd this monograph to be an extremely helpful study on the di erentiability of entree into the subject. . . . [T]he reviewer highly recommends Zannier’s Lipschitz mappings between book as an excellent survey of and introduction to the important and hot Banach spaces, an unavoidable topic of unlikely intersections in arithmetic geometry.” reference for anyone seriously —Joseph H. Silverman, Bulletin of the AMS interested in this topic.” 2012. 176 pages. Pa: 978-0-691-15371-1 $75.00 | £52.00 —Daniel Azagra, European Mathe- Cl: 978-0-691-15370-4 $165.00 | £115.00 matical Society 2012. 440 pages. Pa: 978-0-691-15356-8 $75.00 | £52.00 Cl: 978-0-691-15355-1 $165.00 | £115.00

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Edited by , , Nicholas M. Katz, Sergiu Klainerman, Richard Taylor & Gang Tian Associate Editors: Étienne Ghys, Mark Goresky, Robert Guralnick, To Order, Contact: , & Horng-Tzer Yau Mathematical Sciences Publishers Founded in 1884, this distinguished bimonthly journal of research papers 798 Evans Hall #3840 in mathematics is published by the Department of Mathematics of Princ- c/o Department of Mathematics eton University with the cooperation of the Institute for Advanced Study. University of California, Berkeley Annual Subscriptions: Berkeley, CA 94720-3840 Individuals $275.00 1-510-643-8638 phone Institutions: Electronic only $455.00 | Print and Electronic $485.00 1-510-295-2608 fax Postal surcharge of $50.00 for shipments outside of the U.S. [email protected] princeton mathematical series phillip a. gri ths, john n. mather & elias m. stein, editors

Forthcoming Frontiers in Complex Dynamics In Celebration of ’s 80th Birthday Edited by Araceli Bonifant, Mikhail Lyubich & Scott Sutherland John Milnor, best known for his work in di erential topology, Forthcoming K-theory, and dynamical systems, is Advances in Analysis one of only three mathematicians The Legacy of Elias M. Stein to have won the , the Edited by Charles Fe erman, Alexandru D. Ionescu, Abel prize, and the Wolf prize, and D. H. Phong & Stephen Wainger is the only one to have received all three of the Leroy P. Steele prizes. Princeton University’s Elias Stein was the rst mathematician to see the In honor of his eightieth birthday, profound interconnections that tie classical Fourier analysis to several this book gathers together surveys complex variables and representation theory. His fundamental contri- and papers inspired by Milnor’s butions include the Kunze-Stein phenomenon, the construction of new work, from distinguished experts representations, the Stein interpolation theorem, the idea of a restriction examining not only holomorphic theorem for the Fourier transform, and the theory of Hp s paces in several dynamics in one and several variables. Through his great discoveries, through books that have set the variables, but also di erential highest standard for mathematical exposition, and through his in uence geometry, entropy theory, and on his many collaborators and students, Stein has changed mathematics. combinatorial . This Drawing inspiration from Stein’s contributions to and collection will be useful to stu- related topics, this volume gathers papers from internationally renowned dents and researchers for decades mathematicians, many of whom have been Stein’s students. The book to come. also includes expository papers on Stein’s work and its in uence. February 2014. 848 pages. 32 color illus. February 2014. 480 pages. 6 halftones. 32 line illus. 5 halftones. 72 line illus. 3 tables. Cl: 978-0-691-15941-6 $99.50 | £69.95 Cl: 978-0-691-15929-4 $99.50 | £69.95

For a complete listing of all books in the series please visit: press.princeton.edu/math press.princeton.edu princeton mathematical series • 23 mathematical notes phillip a. gri ths, john n. mather & elias m. stein, editors

Forthcoming Hodge Theory Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Gri ths & Lê Dũng Tráng This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of Thurston’s Work on mixed Hodge structure and the Hodge theory of maps. Of particular inter- Surfaces est is the study of algebraic cycles, including the Hodge and Bloch-Beilin- Albert Fathi, son Conjectures. Based on lectures delivered at the 2010 Summer School François Laudenbach on Hodge Theory at the ITCP in Trieste, Italy, the book is intended for a & Valentin Poénaru broad group of students and researchers. The exposition is as accessible Translated by Djun M. Kim & as possible and doesn’t require a deep background. At the same time, the Dan Margalit book presents some topics at the forefront of current research. This book provides a detailed expo- July 2014. 602 pages. 10 line illus. sition of ’s work on Pa: 978-0-691-16134-1 $90.00 | £62.00 surface homeomorphisms, available here for the rst time in English. 2011. 272 pages. 146 line illus. 1 table. Pa: 978-0-691-14735-2 $60.00 | £41.95 london mathematical society monographs martin bridson, ben green & peter sarnak, series editors

New Arithmetic Compacti cations of PEL-Type Shimura Varieties Symmetric Markov Kai-Wen Lan Processes, Time Change, By studying the degeneration of abelian variet- and Boundary Theory ies with PEL structures, this book explains the Zhen-Qing Chen & compacti cations of smooth integral models Masatoshi Fukushima of all PEL-type Shimura varieties, providing the “[A]n ideal resource for researchers logical foundation for several exciting recent and very advanced graduate stu- developments. The book is designed to be dents in the eld of Dirichlet forms accessible to graduate students who have an and Hunt processes.” understanding of schemes and abelian varieties. —Michael Voit, Zentralblatt MATH 2013. 584 pages. Cl: 978-0-691-15654-5 $150.00 | £103.00 2011. 512 pages. Cl: 978-0-691-13605-9 $99.50 | £69.95

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The Princeton Legacy Library uses the latest technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books in durable paperbacks. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. For titles in the library visit: press.princeton.edu/princeton-legacy-library/

24 • mathematical notes | london mathematical society UK UK QTY ISBN Author: Title Page Price Price QTY ISBN Author: Title Page Price Price __ Pa: 15265-3 Adam: Mathematical Nature Walk 7 $18.95 £12.95 __ Pa: 16044-3 Loveland, et al.: Three Views 15 $49.50 £34.95 __ Cl: 12895-5 27.95 19.95 __ Cl: 12533-6 MacCluer: Honors Calculus 16 62.95 43.95 __ Pa: 16232-4 Adam: X and the City 7 19.95 13.95 __ Pa: 15819-8 MacCormick: Nine Algorithms 6 16.95 11.95 __ Cl: 15464-0 27.95 19.95 __ Cl: 14714-7 27.95 19.95 __ Cl: 14715-4 Adler: Wizards, Aliens, and Starships 3 29.95 19.95 __ Pa: 16016-0 Mackenzie: Universe in Zero Words 12 19.95 13.95 __ Pa: 15348-3 Alexakis: Decomposition of Global 22 75.00 52.00 __ Cl: 15282-0 27.95 19.95 __ Cl: 15347-6 165.00 115.00 __ Pa: 14134-3 Maor: e 3 15.95 10.95 __ Cl: 15574-6 Appel: Alan Turing’s Systems 18 24.95 16.95 __ Pa: 14823-6 Maor: Pythagorean Theorem 3 17.95 12.50 __ Cl: 15119-9 Ash/Gross: Elliptic Tales 7 29.95 19.95 __ Pa: 15820-4 Maor: Trigonometric 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