Materials—and their constitutive relations—are central characters. Permittivity, permeability, conductivity: each a personality that tells fields how to behave. The book explores idealizations (perfect conductor, lossless dielectric) alongside lossy realities. Polarization, skin effect, and complex permittivity remind the reader that ideal models are useful approximations but engineers must account for loss, dispersion, and non-ideal boundaries when designing real systems.

In that sense, the book is both map and training ground: a concise compendium of electromagnetic ideas and a skilled teacher of an engineer’s way of thinking about fields—local conditions, global constraints, and the trade-offs between ideal models and the messy reality of materials, manufacturing, and measurement.

Next comes the core—Maxwell’s equations—laid out with an engineer’s exactness. Faraday’s induction and Gauss’s flux theorems are motivated by experiments and then hardened into differential and integral forms. Boundary conditions emerge naturally: the thin seam at the interface of two media where fields must match, where surface charges and currents quietly enforce continuity or permit discontinuity. The book treats these seams as loci of practical consequence—reflection off a dielectric, transmission through a coax, the beating heart of microwave design.

Wave phenomena follow, with propagation treated as natural consequence rather than mystical emergence. Transmission lines and waveguides offer the practical engineer’s bridge between circuit intuition and field reality: characteristic impedance, standing waves, modes that travel or are cut off, the dispersion that reshapes pulses in time. Antennas and radiation patterns appear as the visible signatures of oscillating currents; reciprocity and power flow are practical ethics of energy transfer.

The narrative begins with the basics. Scalars and vectors are introduced not as abstract ornaments but as instruments—tools for describing potential differences, current directions, and force lines. Coordinate systems shift like camera angles: Cartesian for local intuition, cylindrical for coaxial cables and wires, spherical for antennas and radiating spheres. Each change of coordinates is a change of perspective, teaching the reader to choose lenses that simplify the problem at hand.