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  • Ash, Avner, 1949-
     
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  • Number theory.
     
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  •  Fearless symmetry : ...
     
     
     
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    Fearless symmetry : exposing the hidden patterns of numbers / Avner Ash and Robert Gross.
    by Ash, Avner, 1949-
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    Princeton : Princeton University Press, 2006.
    Subjects
  • Number theory.
  • ISBN: 
    9780691124926 (hc.)
    0691124922 (hc.)
    Description: 
    xix, 272 p. : ill. ; 24 cm.
    Contents: 
    Ch. 1. Representations -- Ch. 2. Groups -- Ch. 3. Permutations -- Ch. 4. Modular arithmetic -- Ch. 5. Complex numbers -- Ch. 6. Equations and varieties -- Ch. 7. Quadratic reciprocity -- Ch. 8. Galois theory -- Ch. 9. Elliptic curves -- Ch. 10. Matrices -- Ch. 11. Groups of matrices -- Ch. 12. Group representations -- Ch. 13. The Galois group of a polynomial -- Ch. 14. The restriction morphism -- Ch. 15. The Greeks had a name for it -- Ch. 16. Frobenius -- Ch. 17. Reciprocity laws -- Ch. 18. One- and two-dimensional representations -- Ch. 19. Quadratic reciprocity revisited -- Ch. 20. A machine for making Galois representations -- Ch. 21. A last look at reciprocity -- Ch. 22. Fermat's last theorem and generalized Fermat equations -- Ch. 23. Retrospect.
    Additional Author: 
    Gross, Robert, 1959-
    Summary: 
    "Hidden symmetries were first discovered nearly two hundred years ago by French mathematician Evariste 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. 'Fearless symmetry' is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them."--BOOK JACKET.
    Notes: 
    Includes bibliographical references and index.
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