Electromagnetism for mathematicians

Question

I am trying to find a book on electromagnetism for mathematicians (so it has to be rigorous).
Preferably a book that extensively uses Stokes' theorem for Maxwell's equations
(unlike other books that on point source charge, they take Stokes' theorem on
$Bsetminus{0}$ with $B$ being closed ball of radius 1, but this does not work, as Stokes' theorem only works for things in compact support).
Preferably if it mentions Dirac delta function, hopefully it explains it as a distribution (or a measure...)
P.S. This question is posted because there are no questions about electromagnetism books for mathematicians. I have background in mathematics at the level of John Lee Smooth Manifolds.

Christopher White · Answer

Edit: as I re-read your question, it sounds like that's not what you're 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.

Franz Hochinger · Answer

Scheck's books are mathematically much more precise than the average physicist's textbook.

Zythos · Answer

Electricity and Magnetism for Mathematicians.
A Guided Path from Maxwell's Equations to Yang–Mills is the only book I know that targets a mathematicial audience.

Electromagnetism for mathematicians

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