An Introduction to Tensors for Students of Physics and Engineering
by Joseph C. Kolecki
Publisher: Glenn Research Center 2002
Number of pages: 29
The book is intended to serve as a bridge from the point where most undergraduate students 'leave off' in their studies of mathematics to the place where most texts on tensor analysis begin. A basic knowledge of vectors, matrices, and physics is assumed. A semi-intuitive approach to those notions underlying tensor analysis is given via scalars, vectors, dyads, triads, and similar higher-order vector products.
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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 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 Ruslan Sharipov - Samizdat Press
The author gives only a draft of tensor theory, he formulates definitions and theorems and gives basic ideas and formulas. Proving consistence of definitions, deriving formulas, proving theorems or completing details to proofs is left to the reader.
by R. M. Brannon - The University of Utah
A step-by-step introduction to tensor analysis that assumes you know nothing but basic calculus. Considerable emphasis is placed on a notation style that works well for applications in materials modeling, but other notation styles are also reviewed.