Dynamics, statistics and projective geometry of Galois fields /
First Statement of Responsibility
V.I. Arnold.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 80 p. :
Other Physical Details
ill. ;
Dimensions
24 cm.
GENERAL NOTES
Text of Note
Includes index.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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.
8
SUMMARY OR ABSTRACT
Text of Note
"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"--
TOPICAL NAME USED AS SUBJECT
Entry Element
Finite fields (Algebra)
Entry Element
Galois theory.
DEWEY DECIMAL CLASSIFICATION
Number
512/
.
32
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA247
.
3
Book number
.
A76
2011
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Arnold, V. I.
Dates
1937-2010.
Expansion of Initials of Forename
(Vladimir Igorevich),
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of Insitute of Geophysics