Calculus in Vector Spaces, Second Edition, Revised Expanded, Vol. 189

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.

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.

Booknews

A textbook for a year-long course, taught at Yale University, for freshman who have a solid background in high-school calculus and are planning to continue studying mathematics. Provides a unified, integrated treatment of linear algebra and multivariable calculus. The two subjects are combined to demonstrate how the methods complement each other, and to dilute the bitter medicine of linear algebra with something more palatable. The second edition is reorganized and informed by feedback from teachers and students; the date of the first is not noted. No bibliography. Annotation c. Book News, Inc., Portland, OR (booknews.com)