This book is about Nonlinear Optics, the study of how high-intensity light propagates through and interacts with matter. It takes the reader from the starting point of Maxwell's equations to some of the frontiers of modern research in the subject.Preface -- Introduction -- Theory of Light Propagation in Linear and Weakly Nonlinear (Kerr Medium) Dielectrics -- Communications in Optical Fibers and Nonlinear Waveguides -- The Interaction Between Light and Matter -- Applications: Lasers, Optical Bistability, Distributed Feedback, Self-Induced Transparency, and Stimulated Scattering -- Mathematical and Computational Methods