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THE BEST WRITING ON MATHEMATICS 2013


PITICI M. PENROSE R.

wydawnictwo: PRINCETON UNIVERSITY , rok wydania 2014, wydanie I

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The Best Writing on Mathematics 2013

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, 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 mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates.


Foreword Roger Penrose ix Introduction Mircea Pitici xv The Prospects for Mathematics in a Multimedia Civilization Philip J. Davis 1 Fearful Symmetry Ian Stewart 23 E pluribus unum: From Complexity, Universality Terence Tao 32 Degrees of Separation Gregory Goth 47 Randomness Charles Seife 52 Randomness in Music Donald E. Knuth 56 Playing the Odds Soren Johnson 62 Machines of the Infinite John Pavlus 67 Bridges, String Art, and Bezier Curves Renan Gross 77 Slicing a Cone for Art and Science Daniel S. Silver 90 High Fashion Meets Higher Mathematics Kelly Delp 109 The Jordan Curve Theorem Is Nontrivial Fiona Ross and William T. Ross 120 Why Mathematics? What Mathematics? Anna Sfard 130 Math Anxiety: Who Has It, Why It Develops, and How to Guard against It Erin A. Maloney and Sian L. Beilock 143 How Old Are the Platonic Solids? David R. Lloyd 149 Early Modern Mathematical Instruments Jim Bennett 163 A Revolution in Mathematics? What Really Happened a Century Ago and Why It Matters Today Frank Quinn 175 Errors of Probability in Historical Context Prakash Gorroochurn 191 The End of Probability Elie Ayache 213 An abc Proof Too Tough Even for Mathematicians Kevin Hartnett 225 Contributors 231 Notable Texts 237 Acknowledgments 241 Credits 243

272 pages, Paperback

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