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Item Details
Title: HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS
By: Martin A. Guest, J. Bruce
Format: Paperback

List price: £45.99
Our price: £40.24
Discount:
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You save: £5.75
ISBN 10: 0521589320
ISBN 13: 9780521589321
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 13 January, 1997
Series: London Mathematical Society Student Texts No.38
Pages: 212
Description: University-level introduction that leads to topics of current research in the theory of harmonic maps.
Synopsis: 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.
Illustrations: maps
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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COMPLEX ALGEBRAIC CURVES (PB)
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CONSENSUS, CONFUSION AND CONTROVERSY (PB)
CURVES & SINGULARITIES (HB)
CURVES & SINGULARITIES (PB)
CURVES AND SINGULARITIES
CURVES AND SINGULARITIES (HB)
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DESIGNS, GRAPHS, CODES AND THEIR LINKS (HB)
DESIGNS, GRAPHS, CODES AND THEIR LINKS (PB)
DIFFERENTIAL GEOMETRY AND INTEGRABLE SYSTEMS (PB)
DYNAMICAL SYSTEMS AND ERGODIC THEORY (PB)
ELEMENTARY THEORY OF L-FUNCTIONS AND EISENSTEIN SERIES (HB)
ELEMENTARY THEORY OF L-FUNCTIONS AND EISENSTEIN SERIES (PB)
ELLIPTIC FUNCTIONS (HB)
ELLIPTIC FUNCTIONS (PB)
FOURIER ANALYSIS ON FINITE GROUPS AND APPLICATIONS (PB)
FROM QUANTUM COHOMOLOGY TO INTEGRABLE SYSTEMS (HB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (HB)
HILBERT SPACE (PB)
HYPERBOLIC GEOMETRY FROM A LOCAL VIEWPOINT (HB)
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MICROCONTROLLERS
MICROCONTROLLERS (PB)
PERMUTATION GROUPS (PB)
POTENTIAL THEORY IN THE COMPLEX PLANE (PB)
PRESENTATIONS OF GROUPS (PB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (HB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (PB)
SET THEORY FOR THE WORKING MATHEMATICIAN (PB)
SINGULAR POINTS OF PLANE CURVES (HB)
SPACETIME AND SINGULARITIES (PB)
STEPS IN COMMUTATIVE ALGEBRA (PB)
SURVEYS ON GEOMETRY AND INTEGRABLE SYSTEMS (HB)
THE ALGORITHMIC RESOLUTION OF DIOPHANTINE EQUATIONS (HB)
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UNDERGRADUATE COMMUTATIVE ALGEBRA (HB)
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YOUNG TABLEAUX (PB)

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