Dynamics, Statistics and Projective Geometry of Galois Fields
1st Edition
Published on 23. January 2011
978-0-511-98495-2 (ISBN)
Description
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.
Reviews / Votes
"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
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
College/higher education
Illustrations
Worked examples or Exercises; Printed music items; 10 Line drawings, black and white
File size
0,90 MB
ISBN-13
978-0-511-98495-2 (9780511984952)
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Schweitzer Classification
Other editions
Additional editions
Book
12/2010
Cambridge University Press
€60.50
Article not available at the moment
Book
12/2010
Cambridge University Press
€43.80
Shipment within 15-20 days
Person
V. I. Arnold is Professor of Mathematics at the Universite de Paris IX (Paris-Dauphine) and the Steklov Mathematical Institute in the Russian Academy of Sciences.
Content
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.
