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...
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| Format: | eBook |
| Language: | English |
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Boston :
Birkhäuser,
[2008]
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| Edition: | Second edition. |
| Series: | Modern Birkhäuser classics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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 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 wishing to survey the field. The themes of linearization, (re) integration, and global versus local calculus are emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the second edition is a detailed treatment of covering spaces and the fundamental group. Students, teachers and professionals in mathematics and mathematical physics should find this a most stimulating and useful text. |
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| Item Description: | "Reprint of the 2001 second edition." |
| Physical Description: | 1 online resource (xiii, 418 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780817647674 0817647678 |