Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis
by Ray M. Bowen, C.-C. Wang
Number of pages: 246
The textbook presents introductory concepts of vector and tensor analysis. Volume II begins with a discussion of Euclidean Manifolds which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on Hypersurfaces in a Euclidean Manifold.
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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 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 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 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.