David Kay’s text is not the most advanced tensor book, nor is it the most rigorous. But it is, arguably, the most effective for self-learners and struggling students. The PDF format enhances this effectiveness through searchability, portability, and annotation.
: Learning to handle indices and coordinate transformations. General Tensors : Defining covariant and contravariant components. tensor calculus david kay pdf
: Detailed sections on tensor operations such as addition , multiplication (dot product), contraction , and tests for tensor character. David Kay’s text is not the most advanced
Each of these chapters contains approximately 50 solved problems and 30 supplementary problems. The PDF version is particularly useful because the solution sets are compact; one can quickly search for a specific problem number using Ctrl+F. multiplication (dot product)