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<図書>
Dynamics, statistics and projective geometry of Galois fields

責任表示 V.I. Arnold
データ種別 図書
出版情報 Cambridge : Cambridge University Press , 2011
本文言語 英語
大きさ x, 80 p. : ill. ; 24 cm
概要 "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 struc...ures 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"--続きを見る
目次 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.

所蔵情報



理系図3F 数理独自 ARNO/60/19 2011
033212010004848

書誌詳細

一般注記 Includes index
著者標目 Arnolʹd, Vladimir Igorevich, 1937-
件 名 LCSH:Finite fields (Algebra)
LCSH:Galois theory
分 類 LCC:QA247.3
DC22:512/.32
書誌ID 1001436765
ISBN 9780521872003
NCID BB04203769
巻冊次 ISBN:9780521872003
登録日 2010.12.22
更新日 2010.12.22

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