Discontinuous Groups of Isometries in the Hyperbolic Plane

Name: Discontinuous Groups of Isometries in the Hyperbolic Plane
SKU: 5811243
Price: 516.99 AUD
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Hardback

Series:

de Gruyter Studies in Mathematics

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Description

This is an introductory textbook on isometry groups of the hyperbolic plane. Interest in such groups dates back more than 120 years. Examples appear in number theory (modular groups and triangle groups), the theory of elliptic functions, and the theory of linear differential equations in the complex domain (giving rise to the alternative name Fuchsian groups). The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, and his interest arose through his deep investigations on the topology of Riemann surfaces and from the fact that the fundamental group of a surface of genus greater than one is represented by such a discontinuous group. Werner Fenchel (1905-1988) joined the project later and overtook much of the preparation of the manuscript. The present book is special because of its very complete treatment of groups containing reversions and because it avoids the use of matrices to represent Moebius maps. This text is intended for students and researchers in the many areas of mathematics that involve the use of discontinuous groups.

Author Biography:

Asmus L. Schmidt is Associate Professor at the Institute for Mathematical Sciences of the University of Copenhagen, Denmark.

Release date Australia

December 16th, 2002

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Contributor

Edited by Asmus L. Schmidt

Illustrations

112 Illustrations, black and white

Pages

385

Series

de Gruyter Studies in Mathematics

Dimensions

155x230x25

ISBN-13

9783110175264

Product ID

5811243

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