Introduction to differential topology
著者
書誌事項
Introduction to differential topology
Cambridge University Press, c1982
- : pbk
- タイトル別名
-
Einführung in die Differentialtopologie
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注記
Translation of: Einführung in die Differentialtopologie
Includes index
Bibliography: p. 153
内容説明・目次
内容説明
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.
目次
- 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.
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