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I've been interested for years in the formalism of maxwell equations or general relativity, but i cannot figure out how those equations including differential operators like gradient, divergence, rotational, and vector product with implicit symmetries are solved.

There are many theoretical resource on this topic, and also I have even been able to follow some at university, but about the training to the real solving, I got the feeling that one needs to practical exercises classes to which I didn't have access. Are there good free resources (French or English) anywhere on the net to tutor oneself one that practical topic ?

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