Requiring no previous knowledge of the theory of probability and random processes, this well-written, easy-to-understand introduction covers the elements of the theory of probability from two or more random variables, examines the reliability of such multivariable structures, introduces the theory of random function, focuses on random vibration of single- and multi-degree-of-freedom structures and continuous systems, and presents the Monte Carlo methods of treating problems incapable of exact solution. Numerous examples, with illustrative figures.