The Laplace Transform

Widder (1898-1990) drew material from a course of lectures that he gave now and then at Harvard on Dirichlet series and Laplace integrals, to explain the Laplace transform for students who have a fundamental knowledge of analysis, though proofs are included for those with only a little such knowledge. The text covers the Stieltjes integral, fundamental formulas, the moment problem, absolutely and completely monotonic functions, Tauberian theorems, the bilateral Laplace transform, inversion and representation problems for the Laplace transform, and the Stieltjes transform. The 1941 edition was published by Princeton University Press. Annotation 2011 Book News, Inc., Portland, OR (booknews.com)