Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts)
Editorial Reviews
Review
'... an accessible introduction to some of the fundamental connections beween differental geometry, Lie groups and integrable Hamiltonian systems.' L'Enseignement Mathématique
'It is very rare to find a book that can take a student from the very basics of a subject to the frontiers of active research. The author is to be congratulated on having produced just such a rarity!' Bulletin of the London Mathematics Society
'The book will certainly be appreciated by mathematicians as well as theoretical physics interested in the subject.' European Mathematical Society
Book Description
This is an accessible introduction to some of the fundamental connections among differential geometry, Lie groups, and integrable Hamiltonian systems. The text demonstrates how the theory of loop groups can be used to study harmonic maps. By concentrating on the main ideas and examples, the author leads up to topics of current research. The book is suitable for students who are beginning to study manifolds and Lie groups, and should be of interest both to mathematicians and to theoretical physicists as well.
Harmonic Maps, Loop Groups, and Integrable Systems (London Mathematical Society Student Texts),Martin A. Guest,J. W Bruce,Cambridge University Press,0521589320,Differential equations,Geometry - Differential,Geometry - General,Harmonic maps,Loops (Group theory),Mathematics,Science/Mathematics,Analytic topology,Mathematics / Applied
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