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The first and second authors of this book are, respectively, Professor and Associate Professor of Engineering Mechanics in the University of Michigan. They say in their Preface that the book has arisen from a course in vibration analysis given for several years in that University, and they add, ‘This course is the first of a series which treat the theory of mechanical vibrations and its applications to engineering problems. The aim of this first course has been to present the fundamentals and basic theory in a manner readily understood by the undergraduate, and yet, at the same time, on a plane acceptable to the graduate student. … A conscious effort has been made to present the theory in such a manner that it can be extended with ease to all the various and diverse vibration problems which the practising engineer has come to know. An equally sincere effort has been made to avoid the extension in detail to specific problems, which is counter to the purpose of this book.’