Introduction to Classical Integrable Systems (Cambridge Monographs on Mathematical Physics) [Hardcover]

Olivier Babelon (Author), Denis Bernard (Author), Michel Talon (Author)

Book Description

ISBN-10: 052182267X | ISBN-13: 978-0521822671 | Publication Date: June 23, 2003

Introducing the reader to classical integrable systems and their applications, this book synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. The authors introduce and explain each method, and demonstrate how it can be applied to particular examples. Rather than presenting an exhaustive list of the various integrable systems, they focus on classical objects which have well-known quantum counterparts, or are the semi-classical limits of quantum objects. They thus enable readers to understand the literature on quantum integrable systems.

Editorial Reviews

Review

"This very valuable addition to the literature on integrable systems should not be missed by any graduate student or specialist in this field." Mathematical Reviews

Book Description

This book introduces the reader to classical integrable systems and their applications. It synthesises the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. The authors introduce and explain each method, and then show how it can be applied to particular examples. Rather than presenting an exhaustive list of the various integrable systems, they focus on classical objects which have well-known quantum counterparts, or are the semi-classical limits of quantum objects, thus enabling readers to understand the literature on quantum integrable systems.

See all Editorial Reviews

Product Details

• Hardcover: 616 pages
• Publisher: Cambridge University Press (June 23, 2003)
• Language: English
• ISBN-10: 052182267X
• ISBN-13: 978-0521822671
• Product Dimensions: 10 x 7.2 x 1.4 inches
• Shipping Weight: 2.6 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #6,214,049 in Books (See Top 100 in Books)

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4 of 4 people found the following review helpful:

5.0 out of 5 stars The very best graduate level introduction to classical integrable models, August 5, 2005

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This review is from: Introduction to Classical Integrable Systems (Cambridge Monographs on Mathematical Physics) (Hardcover)

I believe I am sufficiently familiar with every textbook on the subject, and I believe that this is, by far, the very best one. It is not as easy reading as Das' book, for example, but it goes much deeper into the subject, and is much more complete.

The book offers a global overview of this vast subject, and a unified picture of the various techniques used, which is necessary given how vast and diversified the subject is.

The fact that each chapter is basically self contained, makes the book very suitable for browsing. It is very well, and at times almost poetically written. I highly recommend it to every serious student of the subject.