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 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 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.
by Peter Saveliev
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.
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.