Calculus Volume 3
Publisher: OpenStax 2016
Number of pages: 1032
The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
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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 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 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 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.