×

Uh-oh, it looks like your Internet Explorer is out of date.

For a better shopping experience, please upgrade now.

Discontinuous Groups of Isometries in the Hyperbolic Plane
     

Discontinuous Groups of Isometries in the Hyperbolic Plane

by Werner Fenchel, Jakob Nielsen, Asmus L. Schmidt, Asmus L. Schmidt
 

ISBN-10: 3110175266

ISBN-13: 9783110175264

Pub. Date: 12/16/2002

Publisher: De Gruyter

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

Overview

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.

Product Details

ISBN-13:
9783110175264
Publisher:
De Gruyter
Publication date:
12/16/2002
Series:
De Gruyter Studies in Mathematics Series , #29
Pages:
385
Product dimensions:
6.10(w) x 9.06(h) x (d)
Age Range:
18 Years

Customer Reviews

Average Review:

Post to your social network

     

Most Helpful Customer Reviews

See all customer reviews