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Discontinuous Groups of Isometries in the Hyperbolic Plane (De Gruyter Studies in Mathematics, 29) - Hardcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
Asmus L. Schmidt is Associate Professor at the Institute for Mathematical Sciences of the University of Copenhagen, Denmark.
"About this title" may belong to another edition of this title.
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Discontinuous Groups of Isometries in the Hyperbolic Plane (De Gruyter Studies in Mathematics, 29)
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 388 pp. Englisch. Seller Inventory # 9783110175264
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Discontinuous Groups of Isometries in the Hyperbolic Plane De Gruyter Studies in Mathematics 29
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Discontinuous Groups of Isometries in the Hyperbolic Plane (De Gruyter Studies in Mathematics, 29)
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Fenchel-Nielsen manuscript has been famous for a long time already and its final publication is a valuable edition to mathematical literature. EMS Newsletter Those working in the field will be grateful to the editor Asmus Schmidt for producing this cl. Seller Inventory # 4453624
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Discontinuous Groups of Isometries in the Hyperbolic Plane (De Gruyter Studies in Mathematics, 29)
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Discontinuous Groups of Isometries in the Hyperbolic Plane
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De Gruyter, Mercury Learning And Information Dez 2002, 2002
ISBN 10: 3110175266
ISBN 13: 9783110175264
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Buch. Condition: Neu. 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. Seller Inventory # 9783110175264
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Discontinuous Groups of Isometries in the Hyperbolic Plane
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783110175264
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