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Dynamics, Statistics and Projective Geometry of Galois Fields

$32.99 (P)

  • Author: V. I. Arnold, Université de Paris IX (Paris-Dauphine)
  • Date Published: January 2011
  • availability: In stock
  • format: Paperback
  • isbn: 9780521692908

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About the Authors
  • V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

    • Written by one of the greatest mathematicians of our age
    • Provides a general overview suitable for mathematicians at all levels
    • Examples and explanations may be used in all applications of Galois field theory
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    Reviews & endorsements

    "Throughout, Arnold's characteristic style of writing and thinking are evident. Ideas, intuitions, and well-presented examples abound, joined in only a few places by formal proofs... students and working mathematicians will find it accessible, provoctive, and maybe even inspiring."
    Rafe Jones, Mathematical Reviews

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    Product details

    • Date Published: January 2011
    • format: Paperback
    • isbn: 9780521692908
    • length: 90 pages
    • dimensions: 228 x 153 x 1 mm
    • weight: 0.15kg
    • contains: 10 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    1. What is a Galois field?
    2. The organisation and tabulation of Galois fields
    3. Chaos and randomness in Galois field tables
    4. Equipartition of geometric progressions along a finite one-dimensional torus
    5. Adiabatic study of the distribution of geometric progressions of residues
    6. Projective structures generated by a Galois field
    7. Projective structures: example calculations
    8. Cubic field tables
    Index.

  • Author

    V. I. Arnold, Université de Paris IX (Paris-Dauphine)
    V. I. Arnold is Professor of Mathematics at the Université de Paris IX (Paris-Dauphine) and the Steklov Mathematical Institute in the Russian Academy of Sciences.

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