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Cambridge Lecture Notes in Physics: Lie Algebras, Geometry, and Toda-Type Systems Series Number 8 (Paperback)
  • Cambridge Lecture Notes in Physics: Lie Algebras, Geometry, and Toda-Type Systems Series Number 8 (Paperback)
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Cambridge Lecture Notes in Physics: Lie Algebras, Geometry, and Toda-Type Systems Series Number 8 (Paperback)

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£35.99
Paperback 268 Pages / Published: 15/05/1997
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This book introduces the use of Lie algebra and differential geometry methods to study nonlinear integrable systems of Toda type. Many challenging problems in theoretical physics are related to the solution of nonlinear systems of partial differential equations. One of the most fruitful approaches in recent years has resulted from a merging of group algebraic and geometric techniques. The book gives a comprehensive introduction to this exciting branch of science. Chapters 1 and 2 review basic notions of Lie algebras and differential geometry with an emphasis on further applications to integrable nonlinear systems. Chapter 3 contains a derivation of Toda type systems and their general solutions based on Lie algebra and differential geometry methods. The last chapter examines explicit solutions of the corresponding equations. The book is written in an accessible 'lecture note' style with many examples and exercises to illustrate key points and to reinforce understanding.

Publisher: Cambridge University Press
ISBN: 9780521479233
Number of pages: 268
Weight: 400 g
Dimensions: 229 x 152 x 15 mm


MEDIA REVIEWS
'In all this book is to be recommended to anyone wishing to learn the mathematical machinery that underlies so much of the modern theory of nonlinear integrable systems.' F. Burstall, Contemporary Physics
"The style is clear and designed for graduate students with basic knowledge of algebra and geometry but it is also of great interest to any physicist or mathematicians working on the interface of mathmatics and physics. The book is of interest for serious practitioners as well as beginners in the field. It should serve as a classical and handy reference for this rapidly developing area of research for some time to come." Henrik Aratyn, Mathematical Reviews

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