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Hyperbolic Geometry
Paperback
Series: Springer Undergraduate Mathematics
ISBN13: 9781852339340
Publisher: Springer Nature
Published: Aug 23 2005
Pages: 276
Weight: 1.10
Height: 0.70 Width: 6.90 Depth: 9.90
Language: English
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, Möbius transformations, the general Möbius 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.
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