Geometry
Geometry
Matthew F. Esplen, The Open University, Milton Keynes
Jeremy J. Gray, The Open University, Milton Keynes
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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.
- Over 300 exercises/problems (nearly 200 have solutions)
- Ideal as a self-study text
- Contains 'road-tested' teaching material
Reviews & endorsements
'This is a textbook that demonstrates the excitement and beauty of geometry … richly illstrated and clearly written.' Extrait de L'Enseignement Mathématique
' … this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH
' … could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, The Times Higher Education Supplement
Product details
April 1999Hardback
9780521591935
510 pages
254 × 194 × 29 mm
1.28kg
622 b/w illus. 1 table 325 exercises
Replaced by 9780521597876
Table of Contents
- Preface
- Introduction
- 1. Conics
- 2. Affine geometry
- 3. Projective geometry: lines
- 4. Projective geometry: conics
- 5. Inversive geometry
- 6. Non-Euclidean geometry
- 7. Spherical geometry
- 8. The Kleinian view of geometry
- Appendices
- Index.
