Dynamics, Statistics and Projective Geometry of Galois Fields

V. I. Arnold (Autor)

Buch | Softcover

90 Seiten

2010
Cambridge University Press (Verlag)
978-0-521-69290-8 (ISBN)

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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.

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.

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.

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.

Erscheint lt. Verlag	2.12.2010
Zusatzinfo	10 Line drawings, black and white
Verlagsort	Cambridge
Sprache	englisch
Maße	153 x 228 mm
Gewicht	150 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Galois-Feld
ISBN-10	0-521-69290-3 / 0521692903
ISBN-13	978-0-521-69290-8 / 9780521692908
Zustand	Neuware