Hyperbolic Geometry
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Hyperbolic Geometry  (English, Paperback, Anderson James W.)

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    Highlights
    • Language: English
    • Binding: Paperback
    • Publisher: Springer London Ltd
    • Genre: Mathematics
    • ISBN: 9781852331566, 9781852331566
    • Pages: 239
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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, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations. Topics covered include the upper half-space model of the hyperbolic plane, Mobius transformations, the general Mobius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincare disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics.
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