The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation.Contents: The Laplace TransformOrdinary Differential EquationsDifferential-Difference EquationsPartial Differential EquationsThe Renewal EquationsNumerical Inversion of the Laplace TransformReadership: Physicists and mathematicians.Key Features: Offers research and practical engineers comprehensive theoretical foundations of strength analysis Useful for faculty and advanced students of engineering departments, where strength-related subjects of civil and mechanical engineering are taught