The applications of the pertinent mathematics to particular areas of physics, such as fluid mechanics, electromagnetic theory, special relativity, quantum mechanics, quantum optics, random processes, linear response theory, scattering theory, and others, are given a prominent role in this book's comprehensive account of mathematical physics. The results are motivated, expressed, expounded upon, and commented upon rather than formal proofs of propositions. Their links and interconnections are highlighted, and several of their applications are briefly described. To ensure that the information flows logically and uninterrupted, there are roughly 370 exercises and problems inserted into the text at strategic points. Where appropriate, solutions to the problems or responses with explanations of how to reach them, as well as relevant remarks, are given at the end of each chapter. This book can also be used as a wide-ranging and fairly self-contained text for self-study, and will be well received by students of physics at all levels (senior undergraduate, masters and doctoral), as well as those who are now teachers of the subject.