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Re: Tensors
For mathematical physics in general, I can recommend MAthematics for Physicists by Dennery and Krzywicki. Its a dover book, so it's probably less then $20. It covers a variety of topics, including the theory of anayltic functions, linear vector spaces, function spaces, and diff eq. It has a light introduction to tensor calculus, which fleshes out the basic ideas.
Flanders has a book on differential forms that might cover tensors, I haven't looked at it in awhile. A good book for differential forms though, I think the title is something like Differential Forms with Applications to the Physical Sciences.
-Will
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