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- Author: James W Anderson
- Publisher: Springer
- Year: 2007
- Pages: 276
- ISBN-10: 1852339349
- ISBN-13: 9781852339340
- Format: 17.5 x 25.2 x 1.8 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
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Description
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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- Author: James W Anderson
- Publisher: Springer
- Year: 2007
- Pages: 276
- ISBN-10: 1852339349
- ISBN-13: 9781852339340
- Format: 17.5 x 25.2 x 1.8 cm, softcover
- Language: English 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.
Reviews