Geometry

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Geometry by David A. Brannan, Matthew F. Esplen, Jeremy J. Gray, Cambridge University Press
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Author: David A. Brannan, Matthew F. Esplen, Jeremy J. Gray ISBN: 9781107385283
Publisher: Cambridge University Press Publication: April 13, 1999
Imprint: Cambridge University Press Language: English
Author: David A. Brannan, Matthew F. Esplen, Jeremy J. Gray
ISBN: 9781107385283
Publisher: Cambridge University Press
Publication: April 13, 1999
Imprint: Cambridge University Press
Language: English

This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study.

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This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study.

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