Fourier Series: Explained!

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A Brief Introduction

A Fourier series is a mathematical tool that takes a periodic function and turns it into a sum of simple oscillating functions (i.e. sines and cosines)<ref> Fourier Series </ref>. These series were discovered by Joseph Fourier to solve a heat equation in a metal plate.

How They Work

Fourier Series says we can take a periodic fun

Fourier series animated to show increasing accuracy as evaluation bounds are increased.
Fourier series animated to show increasing accuracy as evaluation bounds are increased.