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关键词：
Introduction to Classical Integrable Systems
书目信息
ISBN：
9780521036702（13位）
中图分类号：
O1
杜威分类号：
中文译名：
经典可积系统引论
作者：
Olivier Babelon
编者：
语种：
English
出版信息
出版社：
Cambridge University Press
出版地：
出版年：
2007
版本：
版本类型：
原版
丛书题名：
卷期：
文献信息
关键词：
physics (theoretical, mathematical), applied mathematics
前言：
摘要：
内容简介：
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 introducing 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.
目次：
1. Introduction; 2. Integrable dynamical systems; 3. Synopsis of integrable systems; 4. Algebraic methods; 5. Analytical methods; 6. The closed Toda chain; 7. The Calogero-Moser model; 8. Isomonodromic deformations; 9. Grassmannian and integrable hierarchies; 10. The KP hierarchy; 11. The KdV hierarchy; 12. The Toda field theories; 13. Classical inverse scattering method; 14. Symplectic geometry; 15. Riemann surfaces; 16. Lie algebras; Index.
附录：
全文链接：
读者对象：
graduate students, academic researchers
实体信息
页码：
614
装帧：
Paperback
尺寸：
其它形态细节：
其它信息
原价：
USD
89.0000
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0521036704
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