Differential Manifolds
Seiten
1992
Academic Press Inc (Verlag)
978-0-12-421850-5 (ISBN)
Academic Press Inc (Verlag)
978-0-12-421850-5 (ISBN)
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Focusing on differential topology, this book discusses such topics as the study and classification of smooth structures on manifolds; the elements of theory and introduction to the method of surgery; the foundations of differential topology; and the Pontagrin construction.
Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study.
Differential Manifolds is a modern graduate-level introduction to the important field of differential topology. The concepts of differential topology lie at the heart of many mathematical disciplines such as differential geometry and the theory of lie groups. The book introduces both the h-cobordism theorem and the classification of differential structures on spheres. The presentation of a number of topics in a clear and simple fashion make this book an outstanding choice for a graduate course in differential topology as well as for individual study.
Differentiable Structures. Immersions, Imbeddings, Submanifolds. Normal Bundle, Tubular Neighborhoods. Transversality. Foliations. Operations on Manifolds. The Handle Presentation Theorem. The H-Cobordism Theorem. Framed Manifolds. Surger. Appendix. Bibliography.
| Erscheint lt. Verlag | 3.12.1992 |
|---|---|
| Reihe/Serie | Pure and Applied Mathematics |
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 151 x 229 mm |
| Gewicht | 540 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-12-421850-4 / 0124218504 |
| ISBN-13 | 978-0-12-421850-5 / 9780124218505 |
| Zustand | Neuware |
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