| Description |
xii, 308 pages : illustrations ; 26 cm |
| Contents |
Pt. A. Prelude and themes: Synthetic methods and results. 1. Spherical geometry. 2. Euclid. 3. The theory of parallels. 4. Non-Euclidean geometry I. 5. Non-Euclidean geometry II -- Pt. B. Development: Differential geometry. 6. Curves. 7. Curves in space. 8. Surfaces. 9. Curvature for surfaces. 10. Metric equivalence of surfaces. 11. Geodesics. 12. The Gauss-Bonnet theorem. 13. Constant-curvature surfaces -- Pt. C. Recapitulation and coda. 14. Abstract surfaces. 15. Modeling the non-Euclidean plane. 16. Epilog: Where from here? -- Riemann's Habilitationsvortrag: On the hypotheses which lie at the foundations of geometry |
| Analysis |
Differential geometry |
| Bibliography |
Includes bibliographical references (pages 297-302) and index |
| Subject |
Geometry, Differential.
|
| LC no. |
93046525 |
| ISBN |
052141430X (hardback) |
|
0521424801 (paperback) |
|
