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The Geometry of Discrete Groups - 1 edition

by Alan F. Beardon

The Geometry of Discrete Groups (ISBN10: 1461270227; ISBN13: 9781461270225)
ISBN13: 978-1461270225
ISBN10: 1461270227

Summary: 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 hyperb moreolic plane. Emphasis is placed on the geometrical aspects of the subject and on the universal constraints which must be satisfied by all tesselations. less

Edition/Copyright: 1
Cover: Paperback
Publisher: Springer
Published: 12/31/2012
International: No

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