This book describes the study of atomic motions in classical simple fluids through time-dependent correlation functions. The emphasis is on those theoretical approaches that have been most useful in data analysis and interpretation, and in leading to the understanding of the molecular dynamic behavior of fluid systems." -- Preface. This excellent monograph is intended to introduce graduate-level students to the theory and applications of time correlation functions and the molecular theory of fluid dynamics, providing more content and insight than either a selected review or a general survey. At the professional level, it provides experimentalists with the theoretical tools useful for the analysis of experimental results, and it offers theoreticians a comprehensive source of illustrations of the theories most relevant in practical applications. The book opens with a short introductory chapter followed in Chapter 2 by an extensive yet succinct review of the concepts, basic tolls and basic approximations of molecular hydrodynamics. Chapters 3 and 4 explore self-diffusion and space-dependent diffusion. The final two chapters deal at length with hydrodynamic fluctuations and fluctuations at finite wavelengths and finite frequencies. "There has existed until now no treatment of sufficient depth and breadth to do justice to the topic.... a collaboration by two accomplished professionals.... Several threads are woven into the text to provide a natural unification.... The literature coverage ... is impressive.... The reader is led by the hand, important concepts being repeated as necessary.... [the] critical attitude ... is [one of] scrupulous impartiality.... An in-depth entrée to the literature.