Introduction to Tensor Calculus
by Kees Dullemond, Kasper Peeters
Publisher: University of Heidelberg 2010
Number of pages: 53
This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra. The focus lies mainly on acquiring an understanding of the principles and ideas underlying the concept of 'tensor'.
Home page url
Download or read it online for free here:
by Joseph C. Kolecki - Glenn Research Center
The book should serve as a bridge to the place where most texts on tensor analysis begin. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and similar higher-order vector products.
by A.S. Ninul - FIZMATLIT
The tensor trigonometry is development of the flat scalar trigonometry from Euler classic forms into general multi-dimensional tensor forms with vector and scalar orthoprojections. The book describes fundamentals of this new mathematical subject.
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 Boaz Porat - Technion
The book discusses constant tensors and constant linear transformations, tensor fields and curvilinear coordinates, and extends tensor theory to spaces other than vector spaces, namely manifolds. Written for the benefits of Engineering students.