# Trigonometry - Fourier (Analysis|Synthesis)

### Table of Contents

## About

Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.

In the sciences and engineering,:

- the process of decomposing a function into simpler pieces is often called
**Fourier analysis**(Fourier transform) - while the operation of rebuilding the function (the inverse Fourier transformation) from these pieces is known as
**Fourier synthesis**.