V I Arnold

Dynamics, Statistics and Projective Geometry of Galois Fields

• Gebundenes Buch

Produktbeschreibung

V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelated theories.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 90
• Erscheinungstermin: 17. Januar 2011
• Englisch
• Abmessung: 229mm x 150mm x 10mm
• Gewicht: 259g
• ISBN-13: 9780521872003
• ISBN-10: 0521872006
• Artikelnr.: 34562954

Autorenporträt

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.

Inhaltsangabe

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.