Spiegel M. Schaum's Outline of Laplace Transforms 1965

Textbook in PDF format

The theory of Laplace transforms or Laplace transformation, also referred to as operational calculus, has in recent years become an essential part of the mathematical background required of engineers, physicists, mathematicians and other scientists. This is because, in addition to being of great theoretical interest in itself, Laplace transform methods provide easy and effective means for the solution of many problems arising in various fields of science and engineering.
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