Discontinuous Groups of Isometries in the Hyperbolic Plane

Beschreibung

Neuware -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.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 388 pp. Englisch.

Bestandsnummer des Verkäufers 9783110175264

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Bibliografische Details

Titel

Discontinuous Groups of Isometries in the Hyperbolic Plane

Verlag

De Gruyter, Mercury Learning And Information Dez 2002

Erscheinungsjahr

2002

Sprache

Englisch

ISBN-10

3110175266

ISBN-13

9783110175264

Einband

Buch

Zustand

Neu

Abmessungen

236B x 160 H x 33 T Millimeter Breite: 236 mm, Höhe: 160 mm, Tiefe: 33 mm

Gewicht

800 Gramm

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