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 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.
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.
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 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.