| TABLE OF CONTENTS: Foreword: The Synergy of Pure and Applied Mathematics, of the Abstract and the Concrete David Mumford ix Introduction Mircea Pitici xvii Why Math Works Mario Livio 1 Is Mathematics Discovered or Invented? Timothy Gowers 8 The Unplanned Impact of Mathematics Peter Rowlett 21 An Adventure in the Nth Dimension Brian Hayes 30 Structure and Randomness in the Prime Numbers Terence Tao 43 The Strangest Numbers in String Theory John C. Baez and John Huerta 50 Mathematics Meets Photography: The Viewable Sphere David Swart and Bruce Torrence 61 Dancing Mathematics and the Mathematics of Dance Sarah-Marie Belcastro and Karl Schaffer 79 Can One Hear the Sound of a Theorem? Rob Schneiderman 93 Flat-Unfoldability and Woven Origami Tessellations Robert J. Lang 113 A Continuous Path from High School Calculus to University Analysis Timothy Gowers 129 Mathematics Teachers' Subtle, Complex Disciplinary Knowledge Brent Davis 135 How to Be a Good Teacher Is an Undecidable Problem Erica Flapan 141 How Your Philosophy of Mathematics Impacts Your Teaching Bonnie Gold 149 Variables in Mathematics Education Susanna S. Epp 163 Bottom Line on Mathematics Education David Mumford and Sol Garfunkel 173 History of Mathematics and History of Science Reunited? Jeremy Gray 176 Augustus De Morgan behind the Scenes Charlotte Simmons 186 Routing Problems: A Historical Perspective Giuseppe Bruno, Andrea Genovese, and Gennaro Improta 197 The Cycloid and Jean Bernoulli Gerald L. Alexanderson 209 Was Cantor Surprised? Fernando Q. Gouvêa 216 Why Is There Philosophy of Mathematics at All? Ian Hacking 234 Ultimate Logic: To Infinity and Beyond Richard Elwes 255 Mating, Dating, and Mathematics: It's All in the Game Mark Colyvan 262 Contributors 273 Notable Texts 281 Acknowledgments 285 Credits 287
Return to Book Description File created: 4/21/2017 |