Download e-book for iPad: Hyperbolic Geometry (Springer Undergraduate Mathematics by James W. Anderson

By James W. Anderson

The geometry of the hyperbolic aircraft has been an lively and engaging box of mathematical inquiry for many of the previous centuries. This publication presents a self-contained advent to the topic, delivering the reader with a company take hold of of the suggestions and methods of this pretty sector of arithmetic. subject matters coated comprise the higher half-space version of the hyperbolic airplane, Möbius modifications, the overall Möbius workforce and the subgroup maintaining course size within the top half-space version, arc-length and distance, the Poincaré disc version, convex subsets of the hyperbolic airplane, and the Gauss-Bonnet formulation for the world of a hyperbolic polygon and its purposes. This up to date moment variation additionally gains: an accelerated dialogue of planar types of the hyperbolic airplane bobbing up from complicated research; the hyperboloid version of the hyperbolic airplane; a short dialogue of generalizations to better dimensions; many new exercises.

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Hyperbolic Geometry (Springer Undergraduate Mathematics Series) by James W. Anderson


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