Quick Introduction to Tensor Analysis
by Ruslan Sharipov
Publisher: Samizdat Press 2004
Number of pages: 47
The author wrote this book in a 'do-it-yourself' style so that he gave only a draft of tensor theory, which includes formulating definitions and theorems and giving basic ideas and formulas. All other work such as proving consistence of definitions, deriving formulas, proving theorems or completing details to proofs is left to the reader in the form of numerous exercises. This style makes learning the subject really quick and more effective for understanding and memorizing.
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by Kees Dullemond, Kasper Peeters - University of Heidelberg
This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra. The focus lies on acquiring an understanding of the principles and ideas underlying the concept of 'tensor'.
by Edward Nelson - Princeton Univ Pr
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.
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.
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.