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|a Guest, Martin A.
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|a Harmonic maps, loop groups, and integrable systems /
|c Martin A. Guest.
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 1997.
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|a 1 online resource (xiii, 194 pages)
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|a London Mathematical Society student texts ;
|v 38
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|a Includes bibliographical references (pages 187-192) and index.
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|a Print version record.
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|a 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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|a pt. I. One-dimensional integrable systems -- pt. II. Two-dimensional integrable systems -- pt. III. One-dimensional and two-dimensional integrable systems.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a Harmonic maps.
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|a Loops (Group theory)
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|a Differential equations.
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|a Applications harmoniques.
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|a Lacets (Théorie des groupes)
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|a Équations différentielles.
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|a MATHEMATICS
|x Topology.
|2 bisacsh
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|a Differential equations
|2 fast
|
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|a Harmonic maps
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|a Loops (Group theory)
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|a Loop
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|a Harmonische Abbildung
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|a Integrables System
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|a Harmonische ruimten.
|2 gtt
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|a Groepen (wiskunde)
|2 gtt
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|i Print version:
|a Guest, Martin A.
|t Harmonic maps, loop groups, and integrable systems.
|d Cambridge ; New York : Cambridge University Press, 1997
|z 0521580854
|w (DLC) 96038837
|w (OCoLC)35627559
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|a London Mathematical Society student texts ;
|v 38.
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