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Differentiable Manifolds: A First Course PDF

409 Pages·1994·17.878 MB·English
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by Lawrence Conlon| 1994| 409 pages| 17.878| English

About Differentiable Manifolds: A First Course

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 in differential topology and geometry. Differential Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good grounding in general topology, calculus, and modern algebra. It is ideal for a full year Ph.D. qualifying course and sufficiently self contained for private study by non-specialists wishing to survey the topic. The themes of linearization, (re)integration, and global versus local are emphasized repeatedly; additional features include a treatment of the elements of multivariable calculus, an exploration of bundle theory, and a further development of Lie theory than is customary in textbooks at this level. Students, teachers, and professionals in mathematics and mathematical physics should find this a most stimulating and useful text.

Detailed Information

Author:Lawrence Conlon
Publication Year:1994
Pages:409
Language:English
File Size:17.878
Format:PDF
Price:FREE
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