Hyperbolic Geometry PDF
by James W. Anderson
Part of the Springer Undergraduate Mathematics Series series
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, Mobius transformations, the general Mobius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincare 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 new exercises.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer London
- Publication Date:29/06/2013
- Category:
- ISBN:9781447139874
Other Formats
- Paperback / softback from £24.79
- PDF from £25.49
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer London
- Publication Date:29/06/2013
- Category:
- ISBN:9781447139874
