Tensor Calculus
by Taha Sochi
Publisher: viXra 2016
Number of pages: 91
Description:
These notes are the second part of the tensor calculus documents. We continue the discussion of selected topics of the subject at a higher level expanding, when necessary, some topics and developing further concepts and techniques. The present notes are essentially based on assuming an underlying general curvilinear coordinate system.
Download or read it online for free here:
Download link
(580KB, PDF)
Similar books
A Gentle Introduction to Tensorsby 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.
(9892 views)
Tensor Trigonometryby A.S. Ninul - FIZMATLIT
The tensor trigonometry is development of the flat scalar trigonometry from Euler classic forms into general multi-dimensional tensor forms with vector and scalar orthoprojections. The book describes fundamentals of this new mathematical subject.
(2986 views)
Functional and Structured Tensor Analysis for Engineersby 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.
(15881 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.
(5477 views)