Dynamics, Statistics and Projective Geometry of Galois Fields
Author:   V. I. Arnold (Université de Paris IX (Paris-Dauphine))
Publisher:   Cambridge University Press
ISBN:  

9780511975783


Publication Date:   01 March 2011
Format:   Undefined
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Dynamics, Statistics and Projective Geometry of Galois Fields


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Overview

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.

Full Product Details

Author:   V. I. Arnold (Université de Paris IX (Paris-Dauphine))
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
ISBN:  

9780511975783


ISBN 10:   0511975783
Publication Date:   01 March 2011
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

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.

Reviews

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


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


Author Information

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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