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The standard graduate physical chemistry curriculum involves a number of topics borrowed from physics. Among these are: (1) classical thermodynamics, (2) statistical mechanics, and (3) quantum mechanics. These subjects are covered in the corresponding physical chemistry courses often titled chemical thermodynamics, statistical thermodynamics, and quantum chemistry, respectively. Conspicuously missing from this list is classical electromagnetism. Although electromagnetism is a core subject in both the undergraduate and graduate physics curricula, it is largely missing from the chemistry curriculum. Chemists make use of the concepts of electromagnetism when they consider polar molecules, molecular polarizability, electrolytic solutions, colloid stability, spectroscopy, spectrophotometry, light scattering, X-ray diffraction, optical rotation, and intermolecular forces. In these chemical applications, the principles of electromagnetism seldom occur in isolation from the other branches of physics. For example, temperature plays a crucial role, so thermal effects often come into play. For this reason, the book contains a chapter on thermodynamics and statistical mechanics. When the properties of isolated molecules are under consideration, electromagnetism intersects with both classical mechanics and quantum mechanics. Hence, chapters covering the relevant portions of these two branches of physics have also been included. The book is designed to be readable by a chemist, engineer, or physicist who has some familiarity with mathematics through undergraduate courses in vector calculus and the calculus of several variables. Every mathematical result is derived stepwise from these principles. It is the author’s belief that, “If you can derive an equation, you can use it in any context.” In support of the derivations in the chapters, there is an extensive Mathematical Methods Appendix covering trigonometry, hyperbolic functions, derivatives, integrals, coordinate systems, complex numbers, series expansions, matrix algebra, Kronecker delta, Dirac delta function, Fourier transforms, and the Kramers–Kronig relations. Nowhere is it asserted that this or that result is obvious or follows by inspection. In particular, the author calls the reader’s attention to Chap. 14, which introduces the London theory of dispersion forces between molecules, the Forster theory of resonance energy transfer, and the Hamaker theory of interactions between colloidal particles. When searching the literature for proofs of these famous results, the author found many of the mathematical details to be missing. It is his hope that Chap. 14 corrects these omissions. The text has been extensively proofread for errors. As no work of mankind is perfect, the author would be most grateful to hear from readers who have located the pesky errors that remain.