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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.Read more
- 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
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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- 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
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
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