The dynamics, statistics and projective geometry of Galois fields /
Arnold, V. I. 1937-2010,
The dynamics, statistics and projective geometry of Galois fields / Dynamics, Statistics & Projective Geometry of Galois Fields V.I. Arnold. - Cambridge : Cambridge University Press, 2011. - 1 online resource (x, 80 pages) : digital, PDF file(s).
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.
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.
9780511975783 (ebook)
Finite fields (Algebra)
Galois theory.
QA247.3 / .A76 2011
512/.32
The dynamics, statistics and projective geometry of Galois fields / Dynamics, Statistics & Projective Geometry of Galois Fields V.I. Arnold. - Cambridge : Cambridge University Press, 2011. - 1 online resource (x, 80 pages) : digital, PDF file(s).
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.
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.
9780511975783 (ebook)
Finite fields (Algebra)
Galois theory.
QA247.3 / .A76 2011
512/.32