Classical Electrodynamics: A Concise and Detailed Guide covers the essential theoretical foundations of electrodynamics from the vector calculus formulation to the classical gauge field theory. The essential theoretical formalism of electrodynamics is covered with all mathematical derivations provided. The derivations are uniquely presented with inline, line-by-line explanations, which makes every derivation easy to follow. The reader does not need to struggle to fill in the steps, and the reader can focus on pondering over the physical content and implications of the derived results. The content is supplemented with numerous exercises with their complete solutions included. This book is for students who are interested in theoretical physics and seek an efficient but proper preparation of the essential knowledge in electrodynamics and classical gauge field theory. With this background knowledge, the student will be able to progress further into concepts beyond electrodynamics, like general relativity or quantum gauge field theories.