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Harmonic Maps, Loop Groups, and Integrable Systems

PDF Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have recently become of widespread use in many areas of mathematics and mathematical physics. This is an accessible introduction to some of the fundamental connections between differential geometry, Lie groups, and integrable Hamiltonian systems. The specific goal of the book is to show 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.

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PDF Harmonic Maps, Loop Groups, and Integrable Systems ebook download

Title
eBook formateBook, (torrent)En
Author
PublisherCAMBRIDGE UNIVERSITY PRESS
File size7.2 Mb
GanrePopular Psychology
Release date 25.10.2007
ISBN9780521589321
Pages count212
Book rating0.7 (0 votes)
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