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 Taha Sochi - arXiv
These are general notes on tensor calculus which can be used as a reference for an introductory course on tensor algebra and calculus. A basic knowledge of calculus and linear algebra with some commonly used mathematical terminology is presumed.
by 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.
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This book presents the basics of vector and tensor analysis for science and engineering students. Volume 1 covers algebraic structures and a modern introduction to the algebra of vectors and tensors. Clear presentation of mathematical concepts.
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The lecture notes for the first part of a one-term course on differential geometry given at Princeton in the spring of 1967. They are an expository account of the formal algebraic aspects of tensor analysis using both modern and classical notations.