by Frank Jones
Publisher: Rice University 2004
The goal is to achieve a thorough understanding of vector calculus, including both problem solving and theoretical aspects. The orientation of the course is toward the problem aspects, though we go into great depth concerning the theory behind the computational skills that are developed.
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by Ray M. Bowen, C.-C. Wang
The textbook presents introductory concepts of vector and tensor analysis, suitable for a one-semester course. Volume II discusses Euclidean Manifolds followed by the analytical and geometrical aspects of vector and tensor fields.
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 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 Peter Saveliev - Intelligent Perception
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.