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Fearless Symmetry

Exposing the Hidden Patterns of Numbers

By Avner Ash, Robert Gross

(4)

| Hardcover | 9780691124926

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Book Description

Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious Continue

Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them.

Hidden symmetries were first discovered nearly two hundred years ago by French mathematician Évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination.

The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.

Critics

  • Fearless Symmetry: Exposing the Hidden Patterns of Numbers

    Fearless Symmetry "began as an expository article for professional mathematicians about the proof of Fermat's Last Theorem" but is, as its back-cover blurb claims, "written in a friendly style for a general audience". This seems like a contradiction ... (read full critics)

    dannyreviews published on Tue, 24 Aug 2010

1 Review

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  • Good job

    The authors have done an admirable job in trying to explain real mathematics to an educated but nonspecialized audience. It is a very difficult thing to do. I do not believe they really succeed but it is the best effort I have seen so far. The last part of the book is necessarily too sketchy. More s ... (continue)

    The authors have done an admirable job in trying to explain real mathematics to an educated but nonspecialized audience. It is a very difficult thing to do. I do not believe they really succeed but it is the best effort I have seen so far. The last part of the book is necessarily too sketchy. More specialists should try their hand at this. It would be a service to the community.

    Is this helpful?

    Stefano said on Aug 22, 2007 | Add your feedback

Book Details

  • Rating:
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  • English Books
  • Hardcover 302 Pages
  • Edition: 1
  • ISBN-10: 0691124922
  • ISBN-13: 9780691124926
  • Publisher: Princeton University Press
  • Pub date: May 22, 2006
  • Dimensions: 1548 mm x 1032 mm x 194 mm Just how big is that?
  • Also available as: Others
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9780691124926 Hardcover $26.95 $21.56 bn.com
$24.95 -- The Book Depository
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