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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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Product Details

  • Aug 23, 2005 Pub Date:
  • 9781852339340 ISBN-13:
  • 1852339349 ISBN-10:
  • 288.0 pages Paperback
  • English Language