Core Electrodynamics is an advanced textbook that engages the student in the elegance of electrodynamics and special relativity, while giving them the tools to begin graduate study. The book is written clearly, incisively and has few prerequisites. After some revision matter, the book's core material links elementary electromagnetic concepts with relativity and field theory, introducing the key concepts of tensors and tensor calculus. Core Electrodynamics provides the basis for graduate study in field theory, high energy astrophysics, general relativity and quantum electrodynamics.