Hyperbolic Geometry

By James W. Anderson

This introductory text explores and develops the basic notions of geometry on the hyperbolic plane. Topics covered include the upper half-space model of the hyperbolic plane, M bius transformations, the general M bius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincar disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. Coverage provides readers with a firm grasp of the concepts and techniques of this beautiful area of mathematics.

• Format: Paperback
• Language: English
• ISBN: 1852339349
• ISBN13: 9781852339340
• Release Date: August 2005
• Publisher: Springer
• Length: 276 Pages
• Weight: 0.15 lbs.
• Dimensions: 0.7" x 6.9" x 9.9"