The Best Writing on Mathematics 2013

The Best Writing on Mathematics 2013

The Best Writing on Mathematics 2013

The Best Writing on Mathematics 2013

Paperback(2013 ed.)

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Overview

The year's finest writing on mathematics from around the world, with a foreword by Nobel Prizewinning physicist Roger Penrose

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. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more.

In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.


Product Details

ISBN-13: 9780691160412
Publisher: Princeton University Press
Publication date: 01/19/2014
Series: The Best Writing on Mathematics , #4
Edition description: 2013 ed.
Pages: 272
Product dimensions: 5.50(w) x 8.40(h) x 0.70(d)

About the Author

Mircea Pitici holds a PhD mathematics education from Cornell University, where he teaches math and writing. He has edited The Best Writing on Mathematics since 2010. Roger Penrose is a Nobel Prize–winning physicist and the bestselling author, with Stephen Hawking, of The Nature of Space and Time (Princeton). He is the Rouse Ball Professor of Mathematics Emeritus at the University of Oxford.

Table of Contents

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 Bézier 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

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