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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The textbook guides students through the core concepts of calculus. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
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.
by Kenneth Kuttler - Brigham Young University
This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is the correct approach, leaving open the possibility that at least some students will understand the topics presented.
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.