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Fearless symmetry : exposing the hidden patterns of numbers

Author: Avner Ash; Robert Gross
Publisher: Princeton : Princeton University Press, ©2006.
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Print version:
Ash, Avner, 1949-
Fearless symmetry.
Princeton, N.J. ; Woodstock : Princeton University Press, 2008
Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Avner Ash; Robert Gross
ISBN: 0691124922 9780691124926 9780691138718 0691138710
OCLC Number: 60826707
Description: xxv, 272 pages : illustrations ; 25 cm
Contents: Representations --
Groups --
Permutations --
Modular arithmetic --
Complex numbers --
Equations and varieties --
Quadratic reciprocity --
Galois theory --
Elliptic curves --
Matrices --
Groups of matrices --
Group representations --
The Galois group of a polynomial --
The restriction morphism --
The Greeks had a name for it --
Frobenius --
Reciprocity laws --
One- and two-dimensional representations --
Quadratic reciprocity revisited --
A machine for making Galois representations --
A last look at reciprocity --
Fermat's last theorem and generalized Fermat equations --
Retrospect.
Responsibility: Avner Ash and Robert Gross.
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Abstract:

Focuses on how mathematicians solve equations and prove theorems. Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the symmetric patterns that lead to  Read more...

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The authors are to be admired for taking a very difficult topic and making it ... certainly more accessible than it was before. -- Timothy Gowers Nature The authors ... outline current research in Read more...

 
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