Introduction to Differential Topology

This book is intended as an elementary introduction to differential manifolds.

T. Bröcker (Author), K. Jänich (Author), C. B. Thomas (Translated by), M. J. Thomas (Translated by)

9780521284707, Cambridge University Press

Paperback, published 16 September 1982

172 pages
22.9 x 15.2 x 1 cm, 0.26 kg

This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

Preface
1. Manifolds and differentiable structures
2. Tangent space
3. Vector bundles
4. Linear algebra for vector bundles
5. Local and tangential properties
6. Sard's theorem
7. Embedding
8. Dynamical systems
9. Isotopy of embeddings
10. Connected sums
11. Second order differential equations and sprays
12. The exponential map and tubular neighbourhoods
13. Manifolds with boundary
14. Transversality
References
Index of symbols
Subject index.

Subject Areas: Geometry [PBM]