Quick Introduction to Tensor Analysis
by Ruslan Sharipov
Publisher: Samizdat Press 2004
Number of pages: 47
Description:
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.
Download or read it online for free here:
Download link
(450KB, PDF)
Similar books

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.
(11150 views)

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.
(9092 views)

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.
(11364 views)

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.
(6398 views)