<図書>
Dynamics, statistics and projective geometry of Galois fields
責任表示 | V.I. Arnold |
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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
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | ARNO/60/19 | 2011 |
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033212010004848 |
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書誌詳細
一般注記 | Includes index |
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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 |