## LAPLACE TRANSFORMS, NUMERICAL METHODS AND COMPLEX VARIABLES

Gn Reddy March 13, 2021

In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable {\displaystyle t}t (often time) to a function of a complex variable {\displaystyle s}s (complex frequency). The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms differential equations into algebraic equations and convolution into multiplication.