Hyperbolic Geometry (Springer Undergraduate Mathematics) (Paperback)

Hyperbolic Geometry (Springer Undergraduate Mathematics) By James W. Anderson Cover Image

Hyperbolic Geometry (Springer Undergraduate Mathematics) (Paperback)


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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.

Product Details ISBN: 9781852339340
ISBN-10: 1852339349
Publisher: Springer
Publication Date: August 23rd, 2005
Pages: 276
Language: English
Series: Springer Undergraduate Mathematics