The mathematically demanding, internally harmonious Maxwell theory of electromagnetic processes is an essential foundational subject in electrical engineering studies. The primary aim of the authors is to illustrate the theoretical relationships as clearly as possible through a special approach to mastering the material, making the subject matter as understandable as possible. In three introductory chapters, the fundamental concepts, formulas, and mathematical operations such as source fields with yield, divergence, and Gauss's theorem, as well as vortex fields with circulation, rotation, and Stokes's theorem, are explained in detail using important examples. Only after this do the regular chapters of field theory follow, with intentional repetitions that serve to deepen understanding.