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Hyperbolic Geometry (Springer Undergraduate Mathematics Series)
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Hyperbolic Geometry (Springer Undergraduate Mathematics Series) * Publisher: Springer * Number Of Pages: 276 * Publication Date: 2007-02-21 * Sales Rank: 370071 * ISBN / ASIN: 1852339349 * EAN: 9781852339340 * Binding: Paperback * Manufacturer: Springer * Studio: Springer * Average Rating: 5 * Total Reviews: 1 Book 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, 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. [url][/url] [ Last edited by mainpro on 2007-3-27 at 00:20 ] |
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