The Geometry of Discrete Groups

By:

Alan F. Beardon

Format:

Hardback

Series:

Graduate Texts in Mathematics,

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Description

This text is about the geometric theory of discrete groups and the associated tesselations of the underlying space. The theory of Mobius 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.

Release date NZ

May 9th, 1983

Author

Alan F. Beardon

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

XII, 340 p.

Pages

340

Series

Graduate Texts in Mathematics,

Dimensions

156x234x20

ISBN-13

9780387907888

Product ID

2048627

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