Mendeley出力
＜図書＞
Introduction to classical integrable systems
| 責任表示 | Olivier Babelon, Denis Bernard, Michel Talon |
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| シリーズ | Cambridge monographs on mathematical physics |
| データ種別 | 図書 |
| 出版情報 | Cambridge : Cambridge University Press , 2003 |
| 本文言語 | 英語 |
| 大きさ | xi, 602 p. : ill ; 26 cm |
| 概要 | This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by intro...ucing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for researchers already working in the field. Book jacket.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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理系図3F 数理独自 | BABE/5/1 | 2003 |
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023212003002246 |
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書誌詳細
| 一般注記 | Includes bibliographical references and index |
|---|---|
| 著者標目 | Babelon, Olivier, 1951- Bernard, Denis, 1961- Talon, Michel, 1952- |
| 件 名 | LCSH:Dynamics LCSH:Hamiltonian systems |
| 分 類 | DC21:531.163 LCC:QA845 .B32 2003 |
| 書誌ID | 1001385866 |
| ISBN | 052182267X |
| NCID | BA62111387 |
| 巻冊次 | ISBN:052182267X |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |