A Gentle Introduction to Tensors
by Boaz Porat
Publisher: Technion 2010
Number of pages: 87
Description:
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. This document was written for the benefits of Engineering students.
Download or read it online for free here:
Download link
(630KB, PDF)
Similar books
Introduction to Tensor Calculusby 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.
(8030 views)
Introduction to Vectors and Tensors Volume 2: Vector and Tensor Analysisby 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.
(19863 views)
Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebraby Ray M. Bowen, C.-C.Wang - Springer
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.
(19956 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.
(5523 views)