Logo

A Gentle Introduction to Tensors

Small book cover: A Gentle Introduction to Tensors

A Gentle Introduction to Tensors
by

Publisher: Technion
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

Book cover: Tensor AnalysisTensor Analysis
by - 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.
(12891 views)
Book cover: Introduction to Vectors and Tensors Volume 2: Vector and Tensor AnalysisIntroduction to Vectors and Tensors Volume 2: Vector and Tensor Analysis
by
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.
(12663 views)
Book cover: Symbolic Tensor Calculus on Manifolds: a SageMath ImplementationSymbolic Tensor Calculus on Manifolds: a SageMath Implementation
by - 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.
(733 views)
Book cover: Quick Introduction to Tensor AnalysisQuick Introduction to Tensor Analysis
by - 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.
(10786 views)