bokomslag Hyperbolic Geometry
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  • 276 sidor
  • 2005
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.
  • Författare: James W Anderson, James Anderson, James W Anderson
  • Format: Pocket/Paperback
  • ISBN: 9781852339340
  • Språk: Engelska
  • Antal sidor: 276
  • Utgivningsdatum: 2005-08-23
  • Förlag: Springer London Ltd