<図書>
Hamiltonian systems and their integrability
| 責任表示 | Michèle Audin ; translated by Anna Pierrehumbert ; translation edited by Donald Babbitt |
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| シリーズ | SMF/AMS texts and monographs ; v. 15 |
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society [Paris] : Société Mathématique de France , c2008 |
| 本文言語 | 英語 |
| 大きさ | xii, 149 p. : ill. ; 26 cm |
| 概要 | Suitable for a graduate course in Hamiltonian systems, this presents modern techniques in a theory of integrable systems viewed as variations on the theme of action-angle coordinates. Audin starts wit... an able introduction to integrable systems, including symplectic manifolds, Hamiltonian systems, completely integrable systems, and geodesic flows. She continues with action-angle variables, integrability and Galois groups (including the Arnold-Liouville theorem, as revisited through differentia Galois theory), Lax closing with an introduction to Lax equations as they apply to the Arnold-Liouville theorem. Audin includes exercises and two appendices, the first on what one needs to know about differential Galois theory and algebraic curves, making this a suitable candidate for self-study as well as a classroom text. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
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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: [pbk.] | 理系図3F 数理独自 | AUDI/10/5 | 2008 |
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023212008004246 |
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書誌詳細
| 別書名 | 原タイトル:Les systèmes hamiltoniens et leur intégrabilité |
|---|---|
| 一般注記 | Translation of: Les systèmes hamiltoniens et leur intégrabilité Includes bibliographical references (p. 141-144) and index Originally published in French by Société Mathématique de France (Cours spécialisés ; no 8, 2001) |
| 著者標目 | *Audin, Michèle Pierrehumbert, Anna Babbitt, Donald G. |
| 件 名 | LCSH:Hamiltonian systems |
| 分 類 | LCC:QA614.83 DC22:515/.39 |
| 書誌ID | 1001237910 |
| ISBN | 9780821844137 |
| NCID | BA87176702 |
| 巻冊次 | : [pbk.] ; ISBN:9780821844137 |
| 登録日 | 2009.09.18 |
| 更新日 | 2009.11.02 |
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