The Geometry of Discrete Groups (Hardcover, 1st ed. 1983. Corr. 2nd printing 1995)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 91
Release date:	September 1995
First published:	1983
Authors:	Alan F. Beardon
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	340
Edition:	1st ed. 1983. Corr. 2nd printing 1995
ISBN-13:	978-0-387-90788-8
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	0-387-90788-2
Barcode:	9780387907888

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