TY  - BOOK
AU  - Arnold,V.I.
TI  - The dynamics, statistics and projective geometry of Galois fields
SN  - 9780511975783 (ebook)
AV  - QA247.3 .A76 2011
U1  - 512/.32 22
PY  - 2011///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Finite fields (Algebra)
KW  - Galois theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511975783
ER  -