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Calculus in Vector Spaces, Revised Expanded

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Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.

604 pages, Hardcover

First published December 8, 1994

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Author 4 books39 followers
July 23, 2020
This is the first book in my undergrad Mathematical studies which really made me interested in the field. Very beautifully written, well-organized, and elegant.
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