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.