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Fearless symmetry : exposing the hidden patterns of numbers

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Princeton Princeton University Press 2006Description: xxv, 272p. illISBN:
  • 9780691138718 (PB)
Subject(s):
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.
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 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.
Item type: BOOKS
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Current library Home library Call number Materials specified Status Date due Barcode
IMSc Library IMSc Library 511 ASH (Browse shelf(Opens below)) Available 61253

Includes index.

Includes bibliography (p. 265-267) and references

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.

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.

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