Designed to be a text for Jr/Sr/beginning graduate level (4th and 5th year) and a reference for research scientists, "Modern Problems in Classical Electrodynamics" includes materials, such as lasers and nonlinear dynamics that are missing from traditional electrodynamics books. The book begins with relativistic mechanics and field theory, in part because they lend unity and beauty to electrodynamics, and in part because relativistic concepts appear frequently in the rest of the book. Relativity is a natural part of electrodynamics. After that, the book turns to electrostatics and magnetostatics, waves, continuous media, nonlinear optics, diffraction, and radiation by moving particles. Examples and homework exercises throughout the book are taken from condensed-matter physics, particle physics, optics, and atomic physics. Many are experimentally oriented, reflecting the view that classical electrodynamics has a broad importance in modern physics that extends beyond preparing students for quantum mechanics. At the end, the book returns to basics, and discusses the fundamental problems inherent in the classical theory of electrons.