Hyperbolic geometry
"The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those quantities inva...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
London, Berlin, Heidelberg u.a.
Springer
1999
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| Schriftenreihe: | Springer undergraduate mathematics series
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| Schlagworte: | |
| Online Zugang: | Cover Inhaltsverzeichnis Inhaltstext |
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| Zusammenfassung: | "The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations." "The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provide the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics."--BOOK JACKET 1.The Basic Spaces -- 2.The General Mobius Group -- 3.Length and Distance in H -- 4.Other Models of the Hyperbolic Plane -- 5.Convexity, Area, and Trigonometry -- 6.Groups Acting on H. |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 230 S graph. Darst 24 cm |
| ISBN: | 1852331569 1-85233-156-9 |