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Item Details
Title: HYPERBOLIC GEOMETRY FROM A LOCAL VIEWPOINT
By: Linda Keen, Nikola Lakic, J. Bruce
Format: Hardback

List price: £106.00
Our price: £92.75
Discount:
12.5% off
You save: £13.25
ISBN 10: 0521863600
ISBN 13: 9780521863605
Availability: Usually dispatched within 1-3 weeks.
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 8 March, 2007
Series: London Mathematical Society Student Texts v. 68
Pages: 282
Description: A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
Synopsis: Written for graduate students, this book presents topics in 2-dimensional hyperbolic geometry. The authors begin with rigid motions in the plane which are used as motivation for a full development of hyperbolic geometry in the unit disk. The approach is to define metrics from an infinitesimal point of view; first the density is defined and then the metric via integration. The study of hyperbolic geometry in arbitrary domains requires the concepts of surfaces and covering spaces as well as uniformization and Fuchsian groups. These ideas are developed in the context of what is used later. The authors then provide a detailed discussion of hyperbolic geometry for arbitrary plane domains. New material on hyperbolic and hyperbolic-like metrics is presented. These are generalizations of the Kobayashi and Caratheodory metrics for plane domains. The book concludes with applications to holomorphic dynamics including new results and accessible open problems.
Illustrations: 32 b/w illus. 236 exercises
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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AUTOMORPHISMS OF SURFACES AFTER NIELSEN AND THURSTON (PB)
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CLASSICAL INVARIANT THEORY (HB)
CLASSICAL INVARIANT THEORY (PB)
COMMUNICATION THEORY (PB)
COMPLEX ALGEBRAIC CURVES (PB)
COMPLEX ALGEBRAIC SURFACES (HB)
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CURVES & SINGULARITIES (HB)
CURVES & SINGULARITIES (PB)
CURVES AND SINGULARITIES
CURVES AND SINGULARITIES (HB)
CURVES AND SINGULARITIES (PB)
DESIGNS, GRAPHS, CODES AND THEIR LINKS (HB)
DESIGNS, GRAPHS, CODES AND THEIR LINKS (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)
HAPPY RETIREMENT? (PB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (HB)
HARMONIC MAPS, LOOP GROUPS, AND INTEGRABLE SYSTEMS (PB)
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JOHN LENNON IN HEAVEN (PB)
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LIPMAN BERS, A LIFE IN MATHEMATICS (PB)
LMSST: 24 LECTURES ON ELLIPTIC CURVES (PB)
LOCAL FIELDS (PB)
LOCAL GOVERNMENT MANAGEMENT (PB)
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PERMUTATION GROUPS (PB)
POTENTIAL THEORY IN THE COMPLEX PLANE (PB)
PRESENTATIONS OF GROUPS (PB)
QUASICONFORMAL TEICHMULLER THEORY (HB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (HB)
REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE (PB)
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SHOVING OFF FROM THE SHORE
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UNDERGRADUATE COMMUTATIVE ALGEBRA (HB)
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