Vector Analysis and the Theory of Relativity
by Francis Dominic Murnaghan
Publisher: Johns Hopkins press 1922
Number of pages: 156
This monograph is the outcome of a short course of lectures delivered, during the summer of 1920, to members of the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but it is hoped that the mode of presentation is sufficiently novel to avoid some of the difficulties of the subject.
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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 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 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 Matthew Hutton - matthewhutton.com
Contents: Line Integrals; Gradient Vector Fields; Surface Integrals; Divergence of Vector Fields; Gauss Divergence Theorem; Integration by Parts; Green's Theorem; Stokes Theorem; Spherical Coordinates; Complex Differentation; Complex power series...