The dynamics, statistics and projective geometry of Galois fields / V.I. Arnold.

Author/creator Arnolʹd, V. I.
Format Electronic
Publication InfoCambridge ; New York : Cambridge University Press, 2011.
Description1 online resource (x, 80 pages) : illustrations
Supplemental ContentEBSCOhost
Subjects
Finite fields (Algebra)
Galois theory.

Contents 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.
Abstract "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"-- Provided by publisher.
General noteIncludes index.
Bibliography noteIncludes bibliographical references and index.
Source of descriptionDescription based on print version record.
Issued in other formPrint version: Arnolʹd, V.I. (Vladimir Igorevich), 1937-2010. Dynamics, statistics and projective geometry of Galois fields. Cambridge ; New York : Cambridge University Press, 2011 9780521872003
Genre/formElectronic books.
ISBN9780511992483 (electronic bk.)
ISBN0511992483 (electronic bk.)
Standard identifier# 9786612967009
Stock number296700 MIL