In this paper three methods are derived for approximating $f$, given its Laplace transform $g$ on $(0, \infty)$, i.e., $\int^\infty_0 f(t) \exp(-st) dt = g(s ...
Introduces methods of complex variables, contour integration, and theory of residues. Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, ...