Maxwell's Equations constitute a set of four linear partial differential equations describing classical electromagnetism by relating electric and magnetic fields to charge density and current density within continuous media. This framework formally unifies electricity, magnetism, and optics through the principles of local conservation laws for energy (Poynting theorem), gauge invariance under vector potential transformations, and wave propagation derived from time-dependent boundary conditions. As the foundational axiom system of classical field theory, it provides the necessary theoretical substrate for analyzing electromagnetic phenomena across all scales where quantum effects are negligible.
Prerequisite chain context: requires Phasor Representation in Sinusoidal Steady-State Analysis.