Calculus of Differential Forms: Course
by Peter Saveliev
Publisher: Intelligent Perception 2013
This is a two-semester course in n-dimensional calculus. It covers the derivative, the integral, differential forms, and a variety of applications. An emphasis is made on the coordinate free, vector analysis. Contents: Vector calculus; Continuous differential forms; Integration of differential forms; Manifolds and differential forms.
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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 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 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 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.