ELECTROMAGNETIC THEORY : A Modern Introduction: Mastering Electric and Magnetic Fields for Physics and Electrical Engineering

Why do electric and magnetic fields behave the way they do — and why, at their core, are they really the same thing seen from two different angles? This textbook takes you through the complete arc of classical electrodynamics: not a list of formulas to memorize, but a single, connected chain of reasoning that starts with vector calculus and ends with the relativistic field tensor, with every step derived, not asserted. You won't just be told Maxwell's equations — you'll watch them get built, piece by piece, from Coulomb's law and the Biot-Savart law, through Faraday's induction experiments, to Maxwell's own correction that made the equations self-consistent and predicted the existence of electromagnetic waves before anyone had detected one. By the time you reach the final chapters, you'll see exactly why magnetism itself is a relativistic side effect of electrostatics — one of the most genuinely surprising results in all of physics — and why a moving charge radiates energy that a stationary one never will. Written for upper-level undergraduate and beginning graduate students in physics and electrical engineering, this book assumes only a first calculus-based physics course and multivariable calculus. Each of its 16 chapters opens with clear learning objectives, works through fully solved worked examples with real numbers (not just symbols), and closes with a chapter summary and a substantial set of practice problems ranging from direct application to open-ended derivation. WHAT'S INSIDE • Complete vector-calculus foundation (gradient, divergence, curl, the divergence and Stokes theorems) • Electrostatics and magnetostatics built from first principles, including the method of images and magnetic materials • A full derivation of Maxwell's equations, including the displacement-current fix that completes the theory • Conservation laws: Poynting's theorem, electromagnetic momentum, and the Maxwell stress tensor • Electromagnetic waves in vacuum, in conductors, and at interfaces — including Brewster's angle and reflection coefficients • Radiation theory: dipole radiation, the Larmor formula, and relativistic beaming • Special relativity and the electromagnetic field tensor, unifying E and B into one object • A closing chapter connecting the theory directly to waveguides, transmission lines, and antenna design Whether you're working through a course, preparing for graduate qualifying exams, or refreshing your command of the subject for engineering practice, this book is built to be worked through, not just read.