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The current approach to this subject is to regard electromagnetism as a special cace (the abelian case) of a gauge field (aka a connection). I have written a book called "The Geometrization of Physics" that explains this (see in particular page ix xi of the introduction). It is freely available here:

http://www.e-booksdirectory.com/details.php?ebook=3623

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The current approach to this subject is to regard electromagnetism as a special cace (the abelian case) of a gauge field (aka a connection). I have written a book called "The Geometrization of Physics" that explains this (see in particular page ix of the introduction). It is freely available here:

http://www.e-booksdirectory.com/details.php?ebook=3623