Differential Forms And Connections
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Differential Forms and Connections
Author | : R. W. R. Darling |
Publisher | : Cambridge University Press |
Total Pages | : 288 |
Release | : 1994-09-22 |
Genre | : Mathematics |
ISBN | : 9780521468008 |
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Introducing the tools of modern differential geometry--exterior calculus, manifolds, vector bundles, connections--this textbook covers both classical surface theory, the modern theory of connections, and curvature. With no knowledge of topology assumed, the only prerequisites are multivariate calculus and linear algebra.
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Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold