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 George Cain, James Herod
The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
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 Jerry Shurman - Reed College
A text for a two-semester multivariable calculus course. The setting is n-dimensional Euclidean space, with the material on differentiation culminating in the Inverse Function Theorem, and the material on integration culminating in Stokes's Theorem.
by Lynn H. Loomis, Shlomo Sternberg - Jones and Bartlett Publishers
Starts with linear algebra, then proceeds to introductory multivariate calculus, including existence theorems connected to completeness, integration, the Stokes theorem, a chapter on differential manifolds, exterior differential forms, etc.