Title: 20.2 The Transform and its Inverse
Course: HELM Workbooks 2023-2024 > Section: HELM 20: Laplace Transforms

In this Section we formally introduce the Laplace transform. The transform is only applied to causal functions which were introduced in Section 20.1. We find the Laplace transform of many commonly occurring ‘signals’and produce a table of standard Laplace transforms.
We also consider the inverse Laplace transform. To begin with, the inverse Laplace transform is obtained ‘by inspection’ using a table of transforms. This approach is developed by employing
techniques such as partial fractions and completing the square introduced in 3.6.