
Hyperbolic Geometry
James W. Anderson(Author)
Springer (Publisher)
2nd Edition
Published on 23. August 2005
Book
Paperback/Softback
XII, 276 pages
978-1-85233-934-0 (ISBN)
Description
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, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications.
This updated second edition also features:
- an expanded discussion of planar models of the hyperbolic plane arising from complex analysis;
- the hyperboloid model of the hyperbolic plane;
- a brief discussion of generalizations to higher dimensions;
- many newexercises.
More details
Series
Edition
2nd ed. 2005
Language
English
Place of publication
London
United Kingdom
Target group
Lower undergraduate
Edition type
Revised edition
Product notice
Paperback (trade)
Unsewn / adhesive bound
Illustrations
21 s/w Abbildungen
XII, 276 p. 21 illus.
Dimensions
Height: 174 mm
Width: 251 mm
Thickness: 18 mm
Weight
520 gr
ISBN-13
978-1-85233-934-0 (9781852339340)
DOI
10.1007/1-84628-220-9
Schweitzer Classification
Other editions
Additional editions

Previous edition

James W. Anderson
Hyperbolic Geometry
Book
09/1999
Springer
€32.05
Article exhausted; check for reprint
Content
The Basic Spaces.- The General Möbius Group.- Length and Distance in ?.- Planar Models of the Hyperbolic Plane.- Convexity, Area, and Trigonometry.- Nonplanar models.