Since my engineering undergraduate years in the mid-1970's, I have seen many books and textbooks that have attempted to describe Maxwell's equations: this is the best. This is also true of "A Student's Guide to Waves" and "A Student's Guide to the Schrödinger Equation" by the same author, which I also have. The time and effort saved by the engineering or physics student is worth many times the purchase price of these books. I recommend starting with "Waves", which provides the clearest explanation of vectors, phasors, and the Euler identity that you are likely to come across.