Chapters in this book

1. Frontmatter i
2. Preface vii
3. Contents ix
4. Important Notations 1
5. I. Preliminaries 5
6. II. Theory Of Curves 20
7. III. Notion Of A Surface. First Fundamental Form 55
8. IV. Second Fundamental Form. Gaussian And Mean Curvature 78
9. V. Tensors 100
10. VI. Formulae Of Weingarten And Gauss 125
11. VII. Geodesic Curvature. Geodesics 137
12. VIII. Isometric Mapping Of Surfaces 160
13. IX. Further Mappings Of Surfaces 180
14. X. Topics From Global Differential Geometry 204
15. XI. Absolute Differentiation And Connexions On Surfaces 215
16. XII. Special Surfaces 236
17. XIII. Foundations Of Riemannian Geometry 275
18. XIV. Absolute Differentiation And Connexion 283
19. XV. Further Properties Of Riemannian Manifolds 301
20. XVI. Hypersurfaces 314
21. Answers to Odd-Numbered Problems 327
22. Collection Of Formulae 338
23. Bibliography 359
24. Index 365