by Jerry Shurman
Publisher: Reed College 2010
Number of pages: 413
This is the 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 its consequences, and the material on integration culminating in the Generalized Fundamental Theorem of Integral Calculus (often called Stokes's Theorem) and some of its consequences in turn. The prerequisite is a proof-based course in one-variable calculus.
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by Michael Corral - Schoolcraft College
A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
by Wong Yan Loi - National University of Singapore
Contents: Vector Functions; Functions of several variables; Limits and Continuity; Partial Derivatives; Maximum and Minimum Values; Lagrange Multipliers; Multiple Integrals; Surface Area; Triple Integrals; Vector Fields; Line Integrals; etc.
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
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.