CiNii Books - Differentiable manifolds

Author(s)

- Conlon, Lawrence

Bibliographic Information

Differentiable manifolds

Lawrence Conlon

（Birkhäuser advanced texts : Basler Lehrbücher / edited by Herbert Amann, Hanspeter Kraft）

Birkhäuser, c2001

2nd ed

[: us]
[: gw]

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Note

First ed. published, c1993, under title of Differentiable manifolds : a first course

Includes bibliography (p. [403]-404) and index

Description and Table of Contents

Volume: [: us] ISBN 9780817641344

Description

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.

Table of 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.

Volume: [: gw] ISBN 9783764341343

Description

This text is based on the full-year PhD qualifying course on differentiable manifolds, global calculus, differential geometry and related topics, given by the author at Washington University. It presupposes a good grounding in general topology and modern algebra, especially linear algebra and analogous theory of modules over a commutative, unitary ring.

by "Nielsen BookData"