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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 ...

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Geometry 2011, Cambridge University Press, Cambridge

ISBN-13: 9781107647831

2nd edition

Trade paperback

Geometry 1999, Cambridge University Press, Cambridge

ISBN-13: 9780521597876

Trade paperback

Geometry 1999, Cambridge University Press, Cambridge

ISBN-13: 9780521591935

Hardcover