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The Geometry of Discrete Groups (Graduate Texts in Mathematics)

Home > Mathematics Books > Hyperbolics > Item 15

	The Geometry of Discrete Groups (Graduate Texts in Mathematics)
	by Alan F. Beardon Sales Rank: 732219	List Price: ~~$79.95~~ $55.96 At Amazon on 10-14-2008

Hardcover: 337 pages Publisher: Springer September 11, 1995 Language: English ISBN-10: 0387907882 ISBN-13: 978-0387907888 Product Dimensions: 9.1 x 6.4 x 1.1 inches Shipping Weight: 1.2 pounds *Product Review* "…a valuable resource for graduate students or advanced undergraduates." -- MATHEMATICAL REVIEWS *Product Description* This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Möbius transformations in n-dimensional Euclidean space is developed. These transformations are discussed as isometries of hyperbolic space and are then identified with the elementary transformations of complex analysis. A detailed account of analytic hyperbolic trigonometry is given, and this forms the basis of the subsequent analysis of tesselations of the hyperbolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations.
The Geometry of Discrete Groups (Graduate Texts in Mathematics) Available from Amazon Price: $55.96 Updated on 10-14-2008

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