Introduction to Vectors
by Christopher C. Tisdell
Publisher: Bookboon 2014
Number of pages: 68
Vectors provide a fascinating tool to describe motion and forces in physics and engineering. They also provide a simple framework for understanding geometry. This book takes learning to a new level by combining written notes with online video. Each lesson is linked with a YouTube video from award-winning teacher and best-selling author Dr Chris Tisdell, where he explains the material in an inspiring and engaging way.
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by Francis Dominic Murnaghan - Johns Hopkins press
This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.
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.
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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.
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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.