The Calculus of Functions of Several Variables
by Dan Sloughter
Publisher: Furman University 2001
Number of pages: 260
In your first exposure to calculus, the primary focus of your attention was on functions involving a single independent variable and a single dependent variable. However, many of the functions of importance both within mathematics itself as well as in the application of mathematics to the rest of the world involve many variables simultaneously. This book covers introduction to Rn, angles and the dot product, the cross product, lines, planes, and hyperplanes, linear and affine functions, operations with matrices, and much more.
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by Paul Dawkins - Lamar University
These lecture notes should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. The notes assume a working knowledge of limits, derivatives, integration, parametric equations, vectors.
by Jan R. Magnus, Heinz Neudecker - John Wiley & Sons
Magnus and Neudecker present an exhaustive and self-contained revised text on matrix theory and matrix differential calculus. Matrix calculus has become an essential tool for quantitative methods in a large number of applications...
by Kenneth Kuttler
The book is appropriate to anybody who understands the concepts of one variable calculus. The author develops further multivariable advanced calculus. He firsts presents a course in linear algebra, then the other calculus topics.
by W W L Chen - Macquarie University
Introduction to multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, vector fields, integrals over paths, etc.