A simple resource about tensors

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...is what I am looking for, to understand what is written in GR books.

Schutz' First Course In GR is the simplest I could find which has a part dedicated to their explanation but I am looking for something simpler than that. I am looking for something which is not a long mathematics textbook but explains how to understand what is written in tensor notation.
 
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Schaums outline on tensor analysis would be a good place to start. I used mcconnells book when I did an indep study on tensors. It was a Dover publication.
 
much appreciated
 
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From $$0 = \delta(g^{\alpha\mu}g_{\mu\nu}) = g^{\alpha\mu} \delta g_{\mu\nu} + g_{\mu\nu} \delta g^{\alpha\mu}$$ we have $$g^{\alpha\mu} \delta g_{\mu\nu} = -g_{\mu\nu} \delta g^{\alpha\mu} \,\, . $$ Multiply both sides by ##g_{\alpha\beta}## to get $$\delta g_{\beta\nu} = -g_{\alpha\beta} g_{\mu\nu} \delta g^{\alpha\mu} \qquad(*)$$ (This is Dirac's eq. (26.9) in "GTR".) On the other hand, the variation ##\delta g^{\alpha\mu} = \bar{g}^{\alpha\mu} - g^{\alpha\mu}## should be a tensor...
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