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    Hyperbolic Geometry

    Posted By: AvaxGenius
    Hyperbolic Geometry

    Hyperbolic Geometry by James W. Anderson
    English | PDF | 1999 | 239 Pages | ISBN : 1852331569 | 18.15 MB

    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 new exercises.