Dynamics, Statistics and Projective Geometry of Galois Fields

Informationen zum Autor 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. Klappentext V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelated theories. Zusammenfassung 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. This easy-to-read overview is accessible to a broad range of mathematicians! from undergraduate students to experienced researchers. Inhaltsverzeichnis 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.

Product details

• Authors: V I Arnold, V. I. Arnold, V. I. (Universite De Paris IX (Paris-Dauph Arnold, V. I. (Universite de Paris IX (Paris-Dauphine)) Arnold
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 02.12.2010
• EAN: 9780521872003
• ISBN: 978-0-521-87200-3
• No. of pages: 90
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Number Theory, geometry, Number Theory, Nonlinear science