Introduction to Differential Topology
Published on 16. September 1982
Book
Paperback/Softback
172 pages
978-0-521-28470-7 (ISBN)
Description
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.
Reviews / Votes
'The book of Brocker and Janich is the best introduction to elementary differential topology that I know. It is recommended wholeheartedly to every student for self-study and can also serve well as the foundation for an introductory course on differentiable manifolds.' E. Brieskorn, Jahresberichte der Deutsche Mathematische VereinigungMore details
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 10 mm
Weight
259 gr
ISBN-13
978-0-521-28470-7 (9780521284707)
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Schweitzer Classification
Other editions
Additional editions
T. Broecker | K. Jaenich
Introduction to Differential Topology
Book
09/1982
Cambridge University Press
€34.05
Article exhausted; check for reprint
Previous edition
T. Broecker | K. Jaenich
Introduction to Differential Topology
Book
09/1982
Cambridge University Press
€34.05
Article exhausted; check for reprint
Persons
Content
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.