by Frank Jones
Publisher: Rice University 2004
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 behind the computational skills that are developed.
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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 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 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 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.