The Best Writing on Mathematics 2012

Front Cover
Mircea Pitici
Princeton University Press, Nov 11, 2012 - Mathematics - 320 pages
1 Review

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 2012 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 Robert Lang explains mathematical aspects of origami foldings; Terence Tao discusses the frequency and distribution of the prime numbers; Timothy Gowers and Mario Livio ponder whether mathematics is invented or discovered; Brian Hayes describes what is special about a ball in five dimensions; Mark Colyvan glosses on the mathematics of dating; 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 mathematician David Mumford 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.

 

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The Best Writing on Mathematics 2015

User Review  - Harold D. Shane - Book Verdict

Pitici offers his annual selection of intriguing mathematical articles, and happily, 2015 was a banner year. This eclectic collection of nontechnical papers understandable to any reader addresses, for ... Read full review

Contents

Why Math Works
1
The Unplanned Impact ofMathematics
21
Structure and Randomness in the Prime Numbers
43
The Viewable Sphere
61
Dancing Mathematics and the Mathematics ofDance
79
Can One Hear the Sound ofa Theorem?
93
Flat Unfoldability and Woven Origami Tessellations
113
Mathematics Teachers Subtle Complex Disciplinary Knowledge
135
Is Mathematics Discovered or Invented?
8
The Unplanned Impact ofMathematics
21
An Adventure in the Nth Dimension
30
Structure and Randomness in the Prime Numbers
43
The Strangest Numbers in String Theory
50
The Viewable Sphere
61
Dancing Mathematics and the Mathematics ofDance
79
Can One Hear the Sound ofa Theorem?
93

How Your Philosophy ofMathematics Impacts Your Teaching
149
Variables in Mathematics Education
163
History ofMathematics and History ofScience Reunited?
176
A Historical Perspective
197
Was Cantor Surprised?
216
Why Is There Philosophy ofMathematics at All?
234
To Infinity and Beyond
255
Contributors
273
Credits
287
A Continuous Path from High School Calculus to University Analysis
288
The Synergy of Pure and Applied Mathematics
ix
Introduction
xvii
Why Math Works
1
Flat Unfoldability and Woven Origami Tessellations
113
A Continuous Path from High School Calculus to University Analysis
129
Mathematics Teachers Subtle Complex Disciplinary Knowledge
135
How Your Philosophy ofMathematics Impacts Your Teaching
149
Variables in Mathematics Education
163
History ofMathematics and History ofScience Reunited?
176
A Historical Perspective
197
Was Cantor Surprised?
216
Why Is There Philosophy ofMathematics at All?
234
To Infinity and Beyond
255
Contributors 273
273
Credits 287
287
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About the author (2012)

Mircea Pitici, a PhD candidate in mathematics education at Cornell University, teaches math and writing at Cornell and Ithaca College. He also edited the 2010 and 2011 editions of "The Best Writing on Mathematics" (both Princeton).

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