Abstract
The Laplace transform is one of an array of integral transforms gathered under the topic of operational mathematics. Laplace transform and the Fourier transform are the two integral transforms most utilized by the typical physicist or engineer. Rediscovered more than two centuries ago by P.S. de Laplace - Euler discovered it first - the Laplace transform has enjoyed a prominent place in scientists' and engineers' toolboxes for only the past 60-or-so years. It is the modern form of Heaviside's operational calculus, placing his calculus on firm mathematical ground and extending its rules and methods. The case for the inverse transformation when H(s) is rational is discussed
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