Electrodynamics - The Classical Theory: A Diagram-Driven Graduate Course in Maxwell's Equations, Radiation, and Relativistic Electromagnetism

A complete graduate course in Maxwell's equations, radiation theory, and relativistic electrodynamics, built for physics/EE graduate students and self-learners without a classroom. Its method is diagram-first derivation: 123 original monochrome figures sit at the exact sentence each derivation needs, followed by a six-part worked-example format used throughout. WHAT'S INSIDE THIS BOOK Vector Calculus and Curvilinear Coordinates — gradient, divergence, curl, Stokes' theorem, cylindrical/spherical coordinates, Helmholtz theorem. Coulomb's Law and Gauss's Law — point-charge field, integral/differential Gauss's law; seven worked examples, eight field-map figures. Boundary-Value Electrostatics via Images — grounded-plane and grounded-sphere images, Dirichlet/Neumann Green's functions, nine diagrams. Separation of Variables — rectangular, cylindrical, spherical boundary-value solutions via Legendre polynomials and Green's-function expansions. Multipole Expansion and Dielectrics — monopole, dipole, quadrupole moments, bound charge, dielectric-sphere boundary-value problem. Magnetostatics via Biot–Savart — wire, loop, and solenoid field, Ampère's law by symmetry, magnetic dipole far field. Magnetic Materials and Circuits — diamagnetism, ferromagnetism, B–H hysteresis loop, iron-core-with-air-gap circuit problem. Faraday's Law and Quasi-Statics — motional EMF, self/mutual inductance, LR transients, skin-effect eddy-current derivation. Maxwell's Equations and Conservation Laws — complete vacuum/matter equations, Poynting's theorem, Maxwell stress tensor. Plane Waves and Fresnel Equations — polarization, Brewster's angle, total internal reflection, nine worked examples. Waveguides and Resonant Cavities — TE/TM modes, dominant TE10 mode, cutoff frequency, cavity quality factor Q. Multipole Radiation — exact oscillating-dipole fields, radiation resistance, antenna-array factor, nine original diagrams. Scattering and Diffraction — Thomson and Rayleigh scattering, why the sky is blue, Huygens-Fresnel diffraction, Rayleigh criterion. Special Relativity and Covariant Electrodynamics — field tensor, covariant Maxwell equations, energy-momentum tensor. Radiation by Accelerated Charges — Liénard-Wiechert potentials, Larmor's formula, synchrotron radiation, nine original diagrams. Synthesis Chapter — three-method worked problem, Minkowski-diagram synthesis, bridge to quantum electrodynamics. WHAT YOU'LL BE ABLE TO DO Derive Maxwell's equations for vacuum, conductors, and dielectrics. Solve boundary-value problems using images, separation of variables, Green's functions. Compute radiation pattern, resistance, and power for dipole sources. Design waveguide modes, cutoff frequency, and cavity quality factor. Transform E and B fields between frames using the field tensor. WHY THIS BOOK Every derivation pairs with an original diagram at the exact point it's needed. All 160 end-of-chapter problems ship with complete six-part worked solutions, not answer keys. One calculation format — GIVEN, FIND, GOVERNING EQUATION, SUBSTITUTION, STEP-BY-STEP, RESULT — runs unbroken. The relativity chapters use spacetime diagrams, an approach most texts skip. A closing chapter recomputes one radiated-power result three independent ways. WHO THIS BOOK IS FOR Physics/EE graduate students in a required electrodynamics course. Upper-level undergraduates preparing for qualifying exams. Self-learners building graduate EM without classroom access. Instructors wanting a diagram-dense supplement to Jackson or Zangwill.