Hyperbolic Geometry Paperback / softback
by James W. Anderson
Part of the Springer Undergraduate Mathematics Series series
Paperback / softback
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:276 pages, 21 Illustrations, black and white; XII, 276 p. 21 illus.
- Publisher:Springer London Ltd
- Publication Date:02/08/2005
- Category:
- ISBN:9781852339340
Other Formats
- PDF from £15.29
Information
-
Item not Available
- Format:Paperback / softback
- Pages:276 pages, 21 Illustrations, black and white; XII, 276 p. 21 illus.
- Publisher:Springer London Ltd
- Publication Date:02/08/2005
- Category:
- ISBN:9781852339340
