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Hyperbolic Geometry - Springer Undergraduate Mathematics Series
Hyperbolic Geometry - Springer Undergraduate Mathematics Series
paperback
Published:
23 August, 2005
paperback
Published:
23 August, 2005
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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, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré 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 newexercises.
More Details
| Type | Book |
|---|---|
| ISBN13 | 9781852339340 |
| ISBN10 | 1852339349 |
| Number Of Pages | 276 |
| Item Weight | 1000 g |
| Publisher / Reseller | Springer London Ltd |
| Format | paperback |
| Edition | 2nd ed. 2005 |
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