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Geometry,9781107647831
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Geometry

by ; ;
Edition:
2nd
ISBN13:

9781107647831

ISBN10:
1107647835
Format:
Paperback
Pub. Date:
2/29/2012
Publisher(s):
Cambridge Univ Pr
List Price: $65.99

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This is the 2nd edition with a publication date of 2/29/2012.
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Summary

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 aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Table of Contents

Preface
Introduction: geometry and geometries
Conics
Affine geometry
Projective geometry: lines
Projective geometry: conics
Inversive geometry
Hyperbolic geometry: the disc model
Elliptic geometry: the spherical model
The Kleinian view of geometry
Special symbols
Further reading
A primer of group theory
A primer of vectors and vector spaces
Solutions to the problems
Index
Table of Contents provided by Publisher. All Rights Reserved.


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