Vector Calculus, with Applications to Physics
by James Byrnie Shaw
Publisher: D. Van Nostrand company 1922
Number of pages: 338
The attempt in this book has been to give a text to the mathematical student on the one hand, in which 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.
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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 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.
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.