The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold.
By: Arnold, V. I. (Vladimir Igorevich).
Material type:
TextPublisher: Cambridge ; New York : Cambridge University Press, 2011Description: x, 80 p., UKP 16.99 ill. ; 24 cm.ISBN: 9780521872003; 0521872006; 9780521692908 (pbk.); 0521692903 (pbk.).Subject(s): Finite fields (Algebra) | Galois theoryDDC classification: 512/.32 Online resources: Table of contents only | Publisher description | Contributor biographical information | Cover image | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| Book | Chennai Mathematical Institute General Stacks | 512.32 ARN (Browse shelf) | Available | 8438 | ||
| Book | Chennai Mathematical Institute General Stacks | 512.32 ARN (Browse shelf) | Available | 8338 |
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| 512.3 FRE Lectures on field theory and topology / | 512.3 STE Galois theory / | 512.3 THA Function Field Arithmetic | 512.32 ARN The dynamics, statistics and projective geometry of Galois fields / | 512.32 ARN The dynamics, statistics and projective geometry of Galois fields / | 512.32 BRZ Galois theory through exercises / | 512.32 HOW Fields and Galois theory / |
Includes index.
Includes bibliographical references and index.
Machine generated contents note: 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.
"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"--