Mendeley出力
＜図書＞
Noncommutative rational series with applications
| 責任表示 | Jean Berstel, Christophe Reutenauer |
|---|---|
| シリーズ | Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; 137 |
| データ種別 | 図書 |
| 出版情報 | Cambridge : Cambridge University Press , c2011 |
| 本文言語 | 英語 |
| 大きさ | xiii, 248 p. ; 24 cm |
| 概要 | "The algebraic theory of automata was created by SchuÌtzenberger and Chomsky over 50 years ago and there has since been a great deal of development. Classical work on the theory to noncommutative pow...r series has been augmented more recently to areas such as representation theory, combinatorial mathematics and theoretical computer science. This book presents to an audience of graduate students and researchers a modern account of the subject and its applications. The algebraic approach allows the theory to be developed in a general form of wide applicability. For example, number-theoretic results can now be more fully explored, in addition to applications in automata theory, codes and non-commutative algebra. Much material, for example, SchuÌtzenberger's theorem on polynomially bounded rational series, appears here for the first time in book form. This is an excellent resource and reference for all those working in algebra, theoretical computer science and their areas of overlap"--続きを見る |
| 目次 | Machine generated contents note: Preface; Part I. Rational Series: 1. Rational series; 2. Minimization; 3. Series and languages; 4. Rational expressions; Part II. Arithmetic: 5. Automatic sequences and algebraic series; 6. Rational series in one variable; 7. Changing the semiring; 8. Positive series in one variable; Part III. Applications: 9. Matrix semigroups and applications; 10. Noncommutative polynomials; 11. Codes and formal series; 12. Semisimple syntactic algebras; Open problems and conjectures; References; Index of notation; Index. |
| 電子版へのリンク | https://hdl.handle.net/2324/6886100 |
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 | BERS/20/3 | 2011 |
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033212010003796 |
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書誌詳細
| 著者標目 | *Berstel, Jean, 1941- Reutenauer, Christophe |
|---|---|
| 件 名 | LCSH:Machine theory LCSH:Noncommutative algebras |
| 分 類 | LCC:QA267 DC22:511.3/5 |
| 書誌ID | 1001432965 |
| ISBN | 9780521190220 |
| NCID | BB03585160 |
| 巻冊次 | ISBN:9780521190220 |
| 登録日 | 2010.11.02 |
| 更新日 | 2010.11.02 |