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Index
Cover Page
Title Page
Copyright Page
Dedication
Contents
Foreword William P. Thurston
Introduction Mircea Pitici
Mathematics Alive
The Role of the Untrue In Mathematics Chandler Davis
Desperately Seeking Mathematical Proof Melvyn B. Nathanson
An Enduring Error Branko Grünbaum
What Is Experimental Mathematics? Keith Devlin
What is information-based complexity? Henryk woźniakowski
What Is Financial Mathematics? Tim Johnson
If Mathematics Is a Language, How Do You Swear in It? David Wagner
Mathematicians and the Practice of Mathematics
Birds and Frogs Freeman Dyson
Mathematics Is Not a Game But . . .Robert Thomas
Massively Collaborative Mathematics Timothy Gowers and Michael Nielsen
Bridging the Two Cultures: Paul Valéry Philip J. Davis
A Hidden Praise of Mathematics Alicia Dickenstein
Mathematics and Its Applications
Mathematics and the Internet: A Source of Enormous Confusion and Great Potential Walter Willinger, David L. Alderson, and John C. Doyle
The Higher Arithmetic: How to Count to a Zillion without Falling Off the End of the Number Line Brian Hayes
Knowing When to Stop: How to Gamble If You Must—The Mathematics of Optimal Stopping Theodore P. Hill
Homology: An Idea Whose Time Has Come Barry A. Cipra
Mathematics Education
Adolescent Learning and Secondary Mathematics Anne Watson
Accommodations of Learning Disabilities in Mathematics Courses Kathleen Ambruso Acker, Mary W. Gray, and Behzad Jalali
Audience, Style and Criticism David Pimm and Nathalie Sinclair
Aesthetics as a Liberating Force in Mathematics Education? Nathalie Sinclair
Mathematics Textbooks and Their Potential Role in Supporting Misconceptions Ann Kajander and Miroslav Lovric
Exploring Curvature with Paper Models Howard T. Iseri
Intuitive vs Analytical Thinking: Four Perspectives Uri Leron and Orit Hazzan
History and Philosophy of Mathematics
Why Did Lagrange “Prove” the Parallel Postulate? Judith V. Grabiner
Kronecker’s Algorithmic Mathematics Harold M. Edwards
Indiscrete Variations on Gian-Carlo Rota’s Themes Carlo Cellucci
Circle Packing: A Personal Reminiscence Philip L. Bowers
Applying Inconsistent Mathematics Mark Colyvan
Why Do We Believe Theorems? Andrzej Pelc
Mathematics in the Media
Mathematicians Solve 45-Year-Old Kervaire Invariant Puzzle Erica Klarreich
Darwin: The Reluctant Mathematician Julie Rehmeyer
Loves Me, Loves Me Not (Do the Math)Steven Strogatz
The Mysterious Equilibrium of Zombies and Other Things Mathematicians See at the Movies Samuel Arbesman
Strength in Numbers: On Mathematics and Musical Rhythm Vijay Iyer
Math-hattan Nick Paumgarten
Contributors
Acknowledgments
Credits
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