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.
Home page url
Download or read it online for free here:
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 Alexander Macfarlane - John Wiley & Sons
Contents: Addition of Coplanar Vectors; Products of Coplanar Vectors; Coaxial Quaternions; Addition of Vectors in Space; Product of Two Vectors; Product of Three Vectors; Composition of Quantities; Spherical Trigonometry; Composition of Rotations.
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...
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.