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I would like to study basic electricity and magnetism with a book with a good mathematical language (e.g. to calculate the thing with gauss law the book explain the importance of parametrization, coordinate change inside integral and so on...)

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marked as duplicate by Qmechanic Mar 30 '18 at 15:48

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Try 'Introduction to Electrodynamics' by David Griffiths. The first chapter gives an intuitive explanation of the mathematical concepts used. Furthermore, there are lots of examples, and many good exercises.

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