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Hyperbolic geometry, second revised edition

Hyperbolic geometry, second revised edition
Hyperbolic geometry, second revised edition
This is an undergraduate textbook covering the basics of planar hyperbolic geometry. 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. 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; and many new exercises.
1852339349
Springer Verlag London Ltd
Anderson, J. W.
739c0e33-ef61-4502-a675-575d08ee1a98
Anderson, J. W.
739c0e33-ef61-4502-a675-575d08ee1a98

Anderson, J. W. (2005) Hyperbolic geometry, second revised edition (Springer Undergraduate Mathematics Series), London, UK. Springer Verlag London Ltd, 276pp.

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Abstract

This is an undergraduate textbook covering the basics of planar hyperbolic geometry. 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. 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; and many new exercises.

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Published date: August 2005

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Local EPrints ID: 54118
URI: https://eprints.soton.ac.uk/id/eprint/54118
ISBN: 1852339349
PURE UUID: a4a72060-1a56-43cc-bca5-8aaba93a6a18
ORCID for J. W. Anderson: ORCID iD orcid.org/0000-0002-7849-144X

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Date deposited: 29 Jul 2008
Last modified: 14 Mar 2019 01:51

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Author: J. W. Anderson ORCID iD

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