This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to ...

Geometry 2011, Cambridge University Press, Cambridge

ISBN-13: 9781107647831

2nd Revised edition

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Geometry 1999, Cambridge University Press, Cambridge, England

ISBN-13: 9780521597876

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Geometry 1999, Cambridge University Press, Cambridge

ISBN-13: 9780521591935

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