The Best Writing on Mathematics 2011
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Edited by:
Mircea Pitici
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Preface by:
Freeman Dyson
About this book
The year's finest writing on mathematics from around the world
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.
Author / Editor information
Reviews
"The volume is a single-shot source to keep in touch with all that is going on in the world of mathematics."---Vaidehi Nathan, Organiser
"I invite the reader of this review to read the book; it contains many more interesting aspects of the interplay between mathematics and the real life than the ones I can explain."
"[E]ntertaining and informative."---Ian D. Gordon, Library Journal
"This wonderful book is not just a collection of essays; there are also references including a list of notable texts, links to mathematics websites, and biographies of the contributors, which may prove to be as valuable to the reader as the essays themselves. The Best Writing on Mathematics 2011 cannot be recommended highly enough!"---Robert Schaefer, New York Journal of Books
"Mathematics instructor Pitici turns out a second volume of unexpectedly fascinating mathematical research, musings, and studies that explore subjects from art to medicine. . . . From a discussion of the utility of mathematics in stone and bronze sculptures to a study of computing and its interaction with the sciences, readers from many disciplines will find much to pique their interest."
Topics
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Frontmatter
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Contents
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Foreword: Recreational Mathematics
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Introduction
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What is Mathematics For?
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A Tisket, a Tasket, an Apollonian Gasket
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The Quest for God’s Number
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Meta-morphism: From Graduate Student to Networked Mathematician
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One, Two, Many: Individuality and Collectivity in Mathematics
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Reflections on the Decline of Mathematical Tables
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Under-Represented Then Over-Represented:
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Did Over-Reliance on Mathematical Models for Risk Assessment Create the Financial Crisis?
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Fill in the Blanks:
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The Great Principles of Computing
82 -
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Computer Generation of Ribbed Sculptures
93 -
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Lorenz System Offers Manifold Possibilities for Art
115 -
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Celebrating Mathematics in Stone and Bronze
150 -
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Mathematics Education
169 -
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Thinking and Comprehending in the Mathematics Classroom
188 -
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Teaching Research: Encouraging Discoveries
203 -
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Reflections of an Accidental Theorist
219 -
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The Conjoint Origin of Proof and Theoretical Physics
236 -
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What Makes Mathematics Mathematics?
257 -
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What Anti-realism in Philosophy of Mathematics Must Offer
286 -
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Seeing Numbers
312 -
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Autism and Mathematical Talent
330 -
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How Much Math is Too Much Math?
336 -
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Hidden Dimensions
347 -
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Playing with Matches
356 -
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Notable Texts
367 -
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Contributors
371 -
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Acknowledgments
379 -
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Credits
381