Introduction to Tensor Calculus
by Kees Dullemond, Kasper Peeters
Publisher: University of Heidelberg 2010
Number of pages: 53
This booklet contains an explanation about tensor calculus for students of physics and engineering with a basic knowledge of linear algebra. The focus lies mainly on acquiring an understanding of the principles and ideas underlying the concept of 'tensor'.
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by 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.
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.
by Taha Sochi - viXra
These notes are the second part of the tensor calculus documents. In this text 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.
by Peter Dunsby
Contents: the special theory of relativity, vectors and tensors in special relativity, conceptual basis of general relativity, curved space time and general relativity, Einstein's field equations, Schwarzschild's solution.