Vector Analysis Notes
by Matthew Hutton
Publisher: matthewhutton.com 2006
Number of pages: 63
Contents: Introduction; The real thing; 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; Holomorphic Functions; Complex Integration; Cauchy's theorem; Cauchy Integral Formula; Real Integrals; Power Series for holomorphic functions; Real Sums.
Home page url
Download or read it online for free here:
by Michael Corral - Schoolcraft College
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.
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.
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.