Archive for History of Exact Sciences

, Volume 25, Issue 4, pp 343-390

First online:

The development of the Laplace transform, 1737–1937

I. Euler to spitzer, 1737–1880
  • Michael A. B. DeakinAffiliated withDepartment of Mathematics, Monash University

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This paper, the first of two, follows the development of theLaplace Transform from its earliest beginnings withEuler, usually dated at 1737, to the year 1880, whenSpitzer was its major, if himself relatively minor, protagonist. The coverage aims at completeness, and shows the state which the technique reached in the hands of its greatest exponent to that time,Petzval. A sequel will trace the development of the modern theory from its beginnings withPoincaré to its present form, due toDoetsch.