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The best writing on mathematics 2010

Autor Mircea Pitici; William Paul Thurston
Vydavatel: Princeton : Princeton University Press, cop. 2011.
Vydání/formát:   Tištěná kniha : EnglishZobrazit všechny vydání a formáty

An anthology featuring the year's finest writing on mathematics from around the world. It helps readers discover why Freeman Dyson thinks some mathematicians are birds while others are frogs; why  Přečíst více...


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Typ dokumentu Kniha
Všichni autoři/tvůrci: Mircea Pitici; William Paul Thurston
ISBN: 9780691148410 0691148414
OCLC číslo: 758778654
Popis: 1 v. (XXVIII-407 p.) : ill. ; 22 cm
Obsahy: Foreword by William P. Thurston xiIntroduction by Mircea Pitici xvMathematics AliveThe Role of the Untrue in Mathematics by Chandler Davis 3Desperately Seeking Mathematical Proof by Melvyn B. Nathanson 13An Enduring Error by Branko Grunbaum 18What Is Experimental Mathematics? By Keith Devlin 32What Is Information-Based Complexity? By Henryk Woz'niakowski 37What Is Financial Mathematics? By Tim Johnson 43If Mathematics Is a Language, How Do You Swear in It? By David Wagner 47Mathematicians and the Practice of MathematicsBirds and Frogs by Freeman Dyson 57Mathematics Is Not a Game But . . . by Robert Thomas 79Massively Collaborative Mathematics by Timothy Gowers and Michael Nielsen 89Bridging the Two Cultures: Paul Valery by Philip J. Davis 94A Hidden Praise of Mathematics by Alicia Dickenstein 99Mathematics and Its ApplicationsMathematics and the Internet: A Source of Enormous Confusion and Great Potential by Walter Willinger, David L. Alderson, and John C. Doyle 109The Higher Arithmetic: How to Count to a Zillion without Falling Off the End of the Number Line by Brian Hayes 134Knowing When to Stop: How to Gamble If You Must--The Mathematics of Optimal Stopping by Theodore P. Hill 145Homology: An Idea Whose Time Has Come by Barry A. Cipra 158Mathematics EducationAdolescent Learning and Secondary Mathematics by Anne Watson 163Accommodations of Learning Disabilities in Mathematics Courses by Kathleen Ambruso Acker, Mary W. Gray, and Behzad Jalali 175Audience,Style and Criticism by David Pimm and Nathalie Sinclair 194Aesthetics as a Liberating Force in Mathematics Education? By Nathalie Sinclair 206Mathematics Textbooks and Their Potential Role in Supporting Misconceptions by Ann Kajander and Miroslav Lovric 236Exploring Curvature with Paper Models by Howard T. Iseri 247Intuitive vs Analytical Thinking: Four Perspectives by Uri Leron and Orit Hazzan 260History and Philosophy of MathematicsWhy Did Lagrange "Prove" the Parallel Postulate? By Judith V. Grabiner 283Kronecker's Algorithmic Mathematics by Harold M. Edwards 303Indiscrete Variations on Gian-Carlo Rota's Themes by Carlo Cellucci 311Circle Packing: A Personal Reminiscence by Philip L. Bowers 330Applying Inconsistent Mathematics by Mark Colyvan 346Why Do We Believe Theorems? By Andrzej Pelc 358Mathematics in the MediaMathematicians Solve 45-Year-Old Kervaire Invariant Puzzle by Erica Klarreich 373Darwin: The Reluctant Mathematician by Julie Rehmeyer 377Loves Me, Loves Me Not (Do the Math) by Steven Strogatz 380The Mysterious Equilibrium of Zombies and Other Things Mathematicians See at the Movies by Samuel Arbesman 383Strength in Numbers: On Mathematics and Musical Rhythm by Vijay Iyer 387Math-hattan by Nick Paumgarten 391Contributors 395Acknowledgments 403Credits 405
Odpovědnost: Mircea Pitici, ed. ; [foreword by William P. Thurston].


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