Differentiable Manifolds
(Sprache: Englisch)
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...
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Klappentext zu „Differentiable Manifolds “
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 use, 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.
Inhaltsverzeichnis zu „Differentiable Manifolds “
From the contents:- Preface to the Second Edition.-Topological Manifolds.-The Local Theory of Smooth Functions.-The Global Theory of Smooth Functions.-Flows and Foliations.-Lie Groups and Lie Algebras.-Covectors and 1 Forms.-Multilinear Algebra and Tensors.-Integration of Forms and de Rham Cohomology.-Forms and Foliations.-Riemannian Geometry.-Principal Bundles.-Appendix A. Construction of the Universal Covering.-Appendix B. Inverse Function Theorem.-Appendix C. Ordinary Differential Equations.-Appendix D. The de Rham Cohomology Theorem.-Bibliography.-Index.
Bibliographische Angaben
- Autor: Lawrence Conlon
- 2008, 2nd ed., 418 Seiten, 48 Abbildungen, Maße: 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 081764766X
- ISBN-13: 9780817647667
Sprache:
Englisch
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