Hyperbolic Geometry by James W Anderson

Hyperbolic Geometry by James W Anderson

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Summary

Featuring material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity, this title includes full solutions for all exercises.

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Hyperbolic Geometry by James W Anderson

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. This updated second edition also features: an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; the hyperboloid model of the hyperbolic plane; a brief discussion of generalizations to higher dimensions; many newexercises.
SKU Unavailable
ISBN 13 9781852339340
ISBN 10 1852339349
Title Hyperbolic Geometry
Author James W Anderson
Series Springer Undergraduate Mathematics Series
Condition Unavailable
Binding Type Paperback
Publisher Springer London Ltd
Year published 2005-08-23
Number of pages 276
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.