Introduction to Classical Integrable Systems (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2007

0521036704 / 9780521036702

Series: Book 44 of 106 - Cambridge Monographs on Mathematical Physics

  • First Edition
  • Softcover
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Paperback. 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. A clear and pedagogical introduction to classical integrable systems and their applications. It synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. Each method is introduced and explained, before being applied to particular examples. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Introduction to Classical Integrable Systems (Paperback)
Author
Olivier Babelon
Publisher
Cambridge University Press, Cambridge
Publication year
2007
Condition
new
Binding
Paperback
Language
English
ISBN 10
0521036704
ISBN 13
9780521036702
Edition
1st Edition
Series
Book 44 of 106: Cambridge Monographs on Mathematical Physics

CitiRetail

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