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<図書>
Hamiltonian systems and their integrability

責任表示 Michèle Audin ; translated by Anna Pierrehumbert ; translation edited by Donald Babbitt
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


: [pbk.] 理系図3F 数理独自 AUDI/10/5 2008
023212008004246

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