This, the first of two volumes devoted to probability theory in physics, physical chemistry, and engineering, provides an introduction to the problem of the random walk and its applications. In its simplest form, the random walk describes the motion of an idealized drunkard and is a discrete analogue of the diffusion process.

A thorough account is given of the theory of random walks on discrete spaces (lattices or networks) and in continuous spaces, including processed with random waiting times between steps. Applications discussed include dielectric relaxation, charge transport in the xerographic process, turbulent dispersion, diffusion through a medium with traps, laser speckle and the conformations of polymers in dilute solution. Prior knowledge of probability theory would be helpful, but not assumed. An extensive bibilography concludes the book.