E = electric field strength, B = magnetic flux density, ρ = charge density, ε0= electric constant, c = speed of light, j = current density, t = time
Maxwell's equations are the fundamental equations of electromagnetism. They encompass all of the behaviour of electromagnetic fields. They are relativistically correct.
Here they are expressed in terms of E and B fields, but it is possible to express them in many different ways, including using D and H fields.
The Feynman Lectures on Physics , R P Feynman, R B Leighton, M Sands, Addison-Wesley, 1963