Hyperbolic Geometry (Springer Undergraduate Mathematics Series)

Format:

Paperback

eTextbook

Detalles del producto

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En stock

Peso con empaque:
0.72 kg

Devolución:
Sí

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Nuevo

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Amazon

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USA

Sobre este producto

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.