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Science/Engineering Hyperbolic Geometry

Posted on 2010-03-16




Name:Science/Engineering Hyperbolic Geometry
ASIN/ISBN:1852339349
Language:English
File size:2 Mb
Publisher: Springer
Pages: 276
Publish Date: 2007-02-21
ISBN: 1852339349
File Type: PDF
File Size: 2 MB
   Science/Engineering Hyperbolic Geometry

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Hyperbolic Geometry

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 new exercises.

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