Widely acclaimed for its presentation of introductory material, this best-selling volume provides a thorough treatment of vibration theory and its engineering applications. Thomson incorporates modern techniques of matrix theory and digital computer methods, and focuses on the physical aspects of the mathematical concepts needed to describe the vibration phenomena. Numerous examples illustrate applications to typical problems faced by practising engineers. In addition, simple and effective computer techniques such as the Central Difference Method, the Runge-Kutta Methods, and the Choleski-Jacoby Methods are explored.