One of my best memories in college was going through wedge product, differential forms and connections, and its application in the derivation of Maxwell's equations. When going through it, I always assumed someone came in and wrote those generalized forms (for students of differential forms: no pun intended ;) of his equations 50-100 years later. It's crazy to think that's how he approached E&M from a preliminary perspective.
> When going through it, I always assumed someone came in and wrote those generalized forms (for students of differential forms: no pun intended ;) of his equations 50-100 years later.
That's true though? Someone else here said the modern formulation is due to Heaviside; Maxwell's original version had dozens of equations because we didn't have all that vector calculus notation at the time.
