The subject originated in attempts to justify rigorously certain "operational rules" used by Heaviside in the latter part of the 19th century for solving equations in electromagnetic theory. These attempts finally proved successful in the early part of the 20th century through the efforts of Bromwich, Carson, van der Pol and other mathematicians who employed complex variable theory. This book is designed for use as a supplement to all current standard texts or as a textbook for a formal course in Laplace transform theory and applications. It should also be of considerable value to those taking courses in mathematics, physics, electrical engineering, mechanics, heat flow or any of the numerous other fields in which Laplace transform methods are employed. Each chapter begins with a clear statement of pertinent definitions, principles and theorems together with illustrative and other descriptive material. This is followed by graded sets of solved and supplementary problems. The solved problems serve to illustrate and amplify the theory, bring into sharp focus those fine points without which the student continually feels himself on unsafe ground, and provide the repetition of basic principles so vital to effective learning. Numerous proofs of theorems and derivations of formulas are included among the solved problems. The large number of supplementary problems with answers serve as a complete review of the material in each chapter. - McGraw Hill Education