Bellman R., Kalaba R., Lockett J.N. Numerical Inversion of the Laplace Transform: Applications to Biology, Economics Engineering, and Physics

Elsevier, 1966. — 260 p.
We feel that the mathematician can make a significant contribution to modern scientific and technological research by providing simple, direct formulations of physical processes together with straightforward approaches to the numerical solution of the associated equations. The two aspects of problem-solving must be considered simultaneously. Our basic premise is that the availability of modern computing devices permits us in many cases to bypass the artifices, devices, and ingenuity spawned by the primitive numerical facilities of fifty, one hundred, and two hundred years ago and to provide simple, direct, easily understandable approaches.
For the reading and effective utilization of a significant quantity of the material in this book, we require only a modicum of mathematical training; say that acquired in a good course in advanced calculus: Naturally, the more mathematical training the reader has, the easier will be his fask and the more he will absorb. A rudimentary knowledge of the uses of the computer will also be useful. Above all, we require a certain amount of intellectual maturity—whatever this indefinable quality is—but no more than what we know to be possessed by those currently engaged in the application of mathematical
techniques to biology, economics, engineering, physics, and so on.