An Introduction to Tensors for Students of Physics and Engineering
by Joseph C. Kolecki
Publisher: Glenn Research Center 2002
Number of pages: 29
Description:
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.
Download or read it online for free here:
Download link
(330KB, PDF)
Similar books
Quick Introduction to Tensor Analysisby 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.
(18588 views)
Functional and Structured Tensor Analysis for Engineersby 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.
(24506 views)
Symbolic Tensor Calculus on Manifolds: a SageMath Implementationby Eric Gourgoulhon, Marco Mancini - arXiv.org
These lecture notes present a method for symbolic tensor calculus that runs on fully specified smooth manifolds (described by an atlas), that is not limited to a single coordinate chart or vector frame, and runs even on non-parallelizable manifolds.
(7365 views)
Tensor Trigonometryby 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.
(5219 views)