Introduction to Differential Topology

Häftad, Engelska, 1982

591 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1982-09-16
Mått:152 x 229 x 10 mm
Vikt:260 g
Format:Häftad
Språk:Engelska
Antal sidor:172
Förlag:Cambridge University Press
ISBN:9780521284707
Översättare:Thomas, C. B., Thomas, M. J.

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

'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 Vereinigung

Innehållsförteckning

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.