This book is a comprehensive treatment of the analysis of lumped parameter physical systems. The first portion of the book deals with the fundamentals of dynamics system modeling including a discussion of mechanical systems (translational and rotational), analytical solutions of ordinary differential equations and a discussion of state space theory. A greatly expanded treatment of numerical methods and techniques for computer simulation is also included. The nest portion of the text deals with modeling systems from various physical domains (electrical, fluid, and thermal) and systems which combine many physical domains. The book concludes with an introduction to the concepts and theory pertinent to automatic control systems, including computer control systems.