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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.
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