The Geometry of Vector Calculus
by Tevian Dray, Corinne A. Manogue
Publisher: Oregon State University 2012
Number of pages: 325
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.
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by Frank Jones - Rice University
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.
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.
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 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...