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"item_title" : "Hyperbolic Geometry",
"item_author" : [" James W. Anderson "],
"item_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, M bius transformations, the general M bius 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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Hyperbolic Geometry
Overview
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, M bius transformations, the general M bius 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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Details
- ISBN-13: 9781852339340
- ISBN-10: 1852339349
- Publisher: Springer
- Publish Date: August 2005
- Dimensions: 9.9 x 6.9 x 0.7 inches
- Shipping Weight: 1.1 pounds
- Page Count: 276
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