I am trying to find a book on electromagnetism for mathematician (so it has to b

Question

I am trying to find a book on electromagnetism for mathematician (so it has to be rigorous). Preferably a book that extensively uses Stoke's theorem for Maxwell's equations (unlike other books that on point source charge, they take Stoke's theorem on B?{0} with B being closed ball of radius 1, but this does not work, as Stoke's theorem only works for things in compact support) Preferably if it mentiones dirac delta function, hopefully it explains it as a distribution (or a measure...)

P.S. This question is posted because there is no questions about electromagnetism books for mathematician. I have background in mathematics as John Lee Smooth Manifolds.

Explanation / Answer

as I re-read your question, it sounds like that's not what your looking for: you want classical vector-calculus-based E&M, done right. Not sure how to help you there, although I still heartily recommend Misner, Thorne and Wheeler in general.

You might try chapters three and four of Misner, Thorne, and Wheeler's Gravitation, if you can find it in a library. (You'll want one and two as well, for background.) In those chapters they develop the basics of electromagnetism from the point of view of differential forms.

They do not attempt to be rigorous, but (as far as I can tell) that's a matter of choice, not ability: I get the sense that they thoroughly understand the niceties of the math behind what they're doing, but (since they are writing for physicists to whom that's not terribly relevant) they don't present it.

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