| Description |
xii, 418 pages : illustrations ; 24 cm |
| Series |
Birkhäuser advanced texts |
|
Birkhäuser advanced texts.
|
| Contents |
Ch. 1. Topological Manifolds -- Ch. 2. The Local Theory of Smooth Functions -- Ch. 3. The Global Theory of Smooth Functions -- Ch. 4. Flows and Foliations -- Ch. 5. Lie Groups and Lie Algebras -- Ch. 6. Covectors and 1-Forms -- Ch. 7. Multilinear Algebra and Tensors -- Ch. 8. Integration of Forms and de Rham Cohomology -- Ch. 9. Forms and Foliations -- Ch. 10. Riemannian Geometry -- Ch. 11. Principal Bundles -- App. A. Construction of the Universal Covering -- App. B. The Inverse Function Theorem -- App. C. Ordinary Differential Equations -- App. D. The de Rham Cohomology Theorem |
| Summary |
"The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom uses, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field." "Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text."--BOOK JACKET |
| Bibliography |
Includes bibliographical references (pages [403]-404) and index |
| Subject |
Differentiable manifolds.
|
| LC no. |
2001025140 |
| ISBN |
0817641343 alkaline paper |
|
3764341343 alkaline paper |
|
