Introduction to Differential Topology by T. BröckerIntroduction to Differential Topology by T. Bröcker

Introduction to Differential Topology

byT. Bröcker, K. JänichTranslated byC. B. Thomas

Paperback | October 29, 1982 | German

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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.
Title:Introduction to Differential TopologyFormat:PaperbackDimensions:172 pages, 8.98 × 5.98 × 0.39 inPublished:October 29, 1982Publisher:Cambridge University PressLanguage:German

The following ISBNs are associated with this title:

ISBN - 10:0521284708

ISBN - 13:9780521284707


Table of Contents

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.