Geometry
Seiten
1999
Cambridge University Press (Verlag)
978-0-521-59787-6 (ISBN)
Cambridge University Press (Verlag)
978-0-521-59787-6 (ISBN)
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This is a textbook that reveals the intricacies of geometry. It is richly illustrated and clearly written, and it includes full solutions to over 200 problems. Thus it is suitable both for undergraduate courses on geometry and as a resource for self study.
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.
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.
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.
| Erscheint lt. Verlag | 13.4.1999 |
|---|---|
| Zusatzinfo | Worked examples or Exercises; 1 Tables, unspecified; 8 Halftones, unspecified; 614 Line drawings, unspecified |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 189 x 246 mm |
| Gewicht | 910 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-521-59787-0 / 0521597870 |
| ISBN-13 | 978-0-521-59787-6 / 9780521597876 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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