The theory of integral operators constitutes a major branch of analysis, and transforms represent an important subdivision. This volume focuses on the Laplace and Stieltjes transforms. Highly theoretical in its emphasis, this classic treatment was derived from a series of lectures by a prominent Harvard mathematician.Suitable for graduate-level mathematics majors, this introductory text explores fundamental formulas, the moment problem, monotonic functions, and Tauberian theorems. The Bulletin of the American Mathematical Society praised it as ""extremely satisfactory,"" noting that ""it will have a most valuable effect both on research and graduate study."".