It's also interesting once you understand what Maxwell's equations mean to look at their geometric algebra formulation[1]. In particular it makes their use in special and general relativity somewhat more elegant, since the GA form explicitly includes a spacetime component. Of course that page isn't an elementary introduction, it assumes familiarity with GA and the divergence & curl operators, as well as some concepts of special & general relativity.
Actually, at the end of the guide, I tried to include an explanation which states that the magnetic field is just a by-product of relativity, and that the equations really only describe one field. A comment on the other approach: the geometric formulation to me looks interesting, but it's still very information dense and a bit un-intuitive! I'll take a look when I get more time though and see if I can re-formulate the ending chapter using this notation. Thank you for the feedback!
That article I linked is definitely not written for beginners, but I do find its notation more intuitive. But that's only because I'm used to working in the notation of geometric algebra, so using it for Maxwell's equations makes sense.
https://www.av8n.com/physics/maxwell-ga.htm