Practicing engineers and students of aeronautic and applied mechanics will develop a solid conceptual background in the theory of structures with this easy-to-understand introduction to probabilistic methods. No previous knowledge of the theory of probability and random processes is required. The text/reference provides a thorough overview, starting with elements of the theory of probability from two or more random variables and proceeding to an examination of the reliability of such multivariable structures. Further, it introduces the theory of random function, focusing on random vibration of single- and multi-degree-of freedom structures and continuous systems, and presents the Monte Carlo method for treating problems incapable of exact solution. Chapters 1 through 7 are suitable for a one-semester, first-level undergraduate course, while the material in chapters 8 through 11 is appropriate for the analytically minded senior and graduate student. The text can also be used for a graduate course on random vibration and buckling and as a reference by practicing engineers and research workers. Numerous examples, with illustrative figures, clarify the well-written text; and many exercises are provided with each chapter to facilitate the reader's grasp of the subject.