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Dynamics, Statistics and Projective Geometry of Galois Fields

Arnold, V. I.
Heftet / 2010 / Engelsk

Produktdetaljer

ISBN
9780521692908
Publisert
2010-12-02
Utgiver
Cambridge University Press
Vekt
150 gr
Høyde
228 mm
Bredde
153 mm
Dybde
1 mm
Aldersnivå
P, U, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
90

Forfatter
Arnold, V. I.

Biografisk notat

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.

Dynamics, Statistics and Projective Geometry of Galois Fields

Arnold, V. I.
Heftet / 2010 / Engelsk
Arnold, V. I.
Heftet / 2010 / Engelsk
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"Throughout, Arnold's characteristic style of writing and thinking are evident. Ideas, intuitions, and well-presented examples abound, joined in only a few places by formal proofs... students and working mathematicians will find it accessible, provoctive, and maybe even inspiring."
Rafe Jones, Mathematical Reviews

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

Relaterte produkter

"Throughout, Arnold's characteristic style of writing and thinking are evident. Ideas, intuitions, and well-presented examples abound, joined in only a few places by formal proofs... students and working mathematicians will find it accessible, provoctive, and maybe even inspiring."
Rafe Jones, Mathematical Reviews

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

Produktdetaljer

ISBN
9780521692908
Publisert
2010-12-02
Utgiver
Cambridge University Press
Vekt
150 gr
Høyde
228 mm
Bredde
153 mm
Dybde
1 mm
Aldersnivå
P, U, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
90

Forfatter
Arnold, V. I.

Biografisk notat

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.

Relaterte produkter