Hyperbolic Geometry PDF
by James W. Anderson
Part of the Springer Undergraduate Mathematics Series series
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Description
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, Mobius transformations, the general Mobius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincare 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.
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- Format:PDF
- Publisher:Springer London
- Publication Date:28/02/2006
- Category:
- ISBN:9781846282201
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Information
-
Download Now
- Format:PDF
- Publisher:Springer London
- Publication Date:28/02/2006
- Category:
- ISBN:9781846282201
