Princeton University Press | 2011 | 412 páginas | djvu | 9,7 Mb
This 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 2011 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 Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; 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 physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.
Foreword: Recreational Mathematics
Freeman Dyson xi
Mircea Pitici xvii
What Is Mathematics For?
Underwood Dudley 1
A Tisket, a Tasket, an Apollonian Gasket
Dana Mackenzie 13
The Quest for God’s Number
Rik van Grol 27
Meta-morphism: From Graduate Student to Networked Mathematician
Andrew Schultz 35
One, Two, Many: Individuality and Collectivity in Mathematics
Melvyn B. Nathanson 43
Reflections on the Decline of Mathematical Tables
Martin Campbell-Kelly 51
Under-Represented Then Over-Represented: A Memoir of Jews in American Mathematics
Reuben Hersh 55
Did Over-Reliance on Mathematical Models for Risk Assessment Create the Financial Crisis?
David J. Hand 67
Fill in the Blanks: Using Math to Turn Lo-Res Datasets into Hi-Res Samples
Jordan Ellenberg 75
The Great Principles of Computing
Peter J. Denning 82
Computer Generation of Ribbed Sculptures
James Hamlin and Carlo H. Séquin 93
Lorenz System Offers Manifold Possibilities for Art
Barry A. Cipra 115
The Mathematical Side of M. C. Escher
Doris Schattschneider 121
Celebrating Mathematics in Stone and Bronze
Helaman Ferguson and Claire Ferguson 150
Mathematics Education: Theory, Practice, and Memories over 50 Years
John Mason 169
Thinking and Comprehending in the Mathematics Classroom
Douglas Fisher, Nancy Frey, and
Heather Anderson 188
Teaching Research: Encouraging Discoveries
Francis Edward Su 203
Reflections of an Accidental Theorist
Alan H. Schoenfeld 219
The Conjoint Origin of Proof and Theoretical Physics
Hans Niels Jahnke 236
What Makes Mathematics Mathematics?
Ian Hacking 257
What Anti-realism in Philosophy of Mathematics Must Offer
Feng Ye 286
Seeing Numbers
Ivan M. Havel 312
Autism and Mathematical Talent
Ioan James 330
How Much Math is Too Much Math?
Chris J. Budd and Rob Eastaway 336
Hidden Dimensions
Marianne Freiberger 347
Playing with Matches
Erica Klarreich 356
Notable Texts 367
Contributors 371
Acknowledgments 379
Credits 381
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