Vector Calculus: Course
by Peter Saveliev
Publisher: Intelligent Perception 2013
This is a two-semester course in n-dimensional calculus with a review of the necessary linear algebra. It covers the derivative, the integral, and a variety of applications. An emphasis is made on the coordinate free, vector analysis.
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by Christopher C. Tisdell - Bookboon
Vectors provide a fascinating tool to describe motion and forces in physics and engineering. This book takes learning to a new level by combining written notes with online video. Each lesson is linked with a YouTube video from Dr Chris Tisdell.
by J. Willard Gibbs - Yale University Press
A text-book for the use of students of mathematics and physics, taken from the course of lectures on Vector Analysis delivered by J. Willard Gibbs. Numerous illustrative examples have been drawn from geometry, mechanics, and physics.
by James Byrnie Shaw - D. Van Nostrand company
Every physical term beyond mere elementary terms is carefully defined. On the other hand for the physical student there will be found a large collection of examples and exercises which will show him the utility of the mathematical methods.
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.