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BL
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| Record Number
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958023
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| Doc. No
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b712393
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| Main Entry
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Conlon, Lawrence,1933-
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| Title & Author
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Differentiable manifolds /\ Lawrence Conlon.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Boston :: Birkhäuser,, ©2001.
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| Series Statement
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Birkhäuser advanced texts
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| Page. NO
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xii, 418 pages :: illustrations ;; 24 cm.
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| ISBN
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0817641343
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: 3764341343
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: 9780817641344
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: 9783764341343
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| Bibliographies/Indexes
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Includes bibliographical references (pages 403-404) and index.
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| Contents
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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.
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| Abstract
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"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."--Jacket.
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| Subject
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Differentiable manifolds.
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| Subject
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Variétés différentiables.
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| Subject
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Differentiable manifolds.
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| Subject
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Differentiable manifolds.
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| Subject
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Differenzierbare Mannigfaltigkeit
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| Subject
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Variedades diferenciáveis.
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| Subject
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Differentiaaltopologie.
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| Dewey Classification
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516./6
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| LC Classification
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QA614.3.C66 2001
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| NLM classification
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31.65bcl
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