Solutions and clarifications for the book Tensor Calculus by J.L. Synge and A. Schild (Dover Publication, 1978)
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The .tex Tikz files have to be located in an ./images/.tex directory, relative to the working directory where Part1.tex and so are put.
The "externalized" Tikz files have to be located in an ./Externalized_figures/ directory, relative to the working directory where Part1.tex and so are put.
Due to use of a lot of TIKZ plots, your Latex compilation will probably fail, issuing an error message.
One way to turn around this problem, is to add the "-shell-escape" switch in de pdf-command line, something like
This way, every image will be treated as a separate pdf-file and will make the compilation faster (except the first time).
##The solutions are given in the Ricci index notation as in the book. An interesting exercise could be to convert the exercises in the coordinate-free notation.