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Introduction to Classical Integrable Systems
Olivier Babelon
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Description for Introduction to Classical Integrable Systems
Paperback. A clear and pedagogical introduction to the theory of classical integrable systems and their applications. Series: Cambridge Monographs on Mathematical Physics. Num Pages: 616 pages, 11 b/w illus. 3 tables. BIC Classification: PBW; PHD. Category: (P) Professional & Vocational. Dimension: 170 x 243 x 39. Weight in Grams: 968.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2007
Publisher
Cambridge University Press United Kingdom
Number of pages
616
Condition
New
Series
Cambridge Monographs on Mathematical Physics
Number of Pages
616
Place of Publication
Cambridge, United Kingdom
ISBN
9780521036702
SKU
V9780521036702
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-3
About Olivier Babelon
Olivier Babelon has been a member of the Centre National de la Recherche Scientifique (CNRS) since 1978. He works at the Laboratoire de Physique Théorique et Hautes Energies (LPTHE) at the University of Paris VI-Paris VII. His main fields of interest are particle physics, gauge theories and integrables systems. Denis Bernard has been a member of the CNRS since 1988. ... Read more
Reviews for Introduction to Classical Integrable Systems
'This monograph provides a thorough introduction to the theory of classical integrable systems … The book contains many worked examples and is suitable for use as a textbook on graduate courses. For researchers already working in this field this book is a valuable source of information which provides an excellent overview of the established results and the present developments.' Zentralblatt ... Read more