Multivariable Calculus: Applications and Theory
by Kenneth Kuttler
Publisher: Brigham Young University 2011
Number of pages: 466
This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is not the usual approach in beginning courses but it is the correct approach, leaving open the possibility that at least some students will learn and understand the topics presented.
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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 Dan Sloughter - Furman University
Many functions in the application of mathematics involve many variables simultaneously. This book introducses Rn, angles and the dot product, cross product, lines, planes, hyperplanes, linear and affine functions, operations with matrices, and more.
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.
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.