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 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. An emphasis is made on the coordinate free, vector analysis. Contents: Vector calculus; Continuous differential forms; Integration of differential forms; Manifolds and differential forms.
by Tevian Dray, Corinne A. Manogue - Oregon State University
Contents: Chapter 1: Coordinates and Vectors; Chapter 2: Multiple Integrals; Chapter 3: Vector Integrals; Chapter 4: Partial Derivatives; Chapter 5: Gradient; Chapter 6: Other Vector Derivatives; Chapter 7: Power Series; Chapter 8: Delta Functions.
by Frank Jones - Rice University
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.