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Geometry /
"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,...
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| Kolejni autorzy: | , |
| Format: | Printed Book |
| Język: | English |
| Wydane: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Wydanie: | 2nd ed. |
| Hasła przedmiotowe: | |
| Dostęp online: | Cover image |
Spis treści:
- Machine generated contents note: Preface; Introduction: geometry and geometries; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Hyperbolic geometry: the disc model; 7. Elliptic geometry: the spherical model; 8. The Kleinian view of geometry; Special symbols; Further reading; Appendix 1. A primer of group theory; Appendix 2. A primer of vectors and vector spaces; Appendix 3. Solutions to the problems; Index.