Fourier Series: Explained!: Difference between revisions

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===How They Work===
===How They Work===
Fourier Series says we can take a periodic fun
Fourier Series says we can take a periodic fun
[[Image:Square Wave.jpg|300px|thumb|right|Square Wave with similar periods to the cosine function]]
[[Image:Fourier Animated.gif|300px|thumb|right|Fourier series animated to show increasing accuracy as evaluation bounds are increased.]]
[[Image:Fourier Animated.gif|300px|thumb|right|Fourier series animated to show increasing accuracy as evaluation bounds are increased.]]
[[Image:Square Wave.jpg|300px|thumb|right|Fourier series animated to show increasing accuracy as evaluation bounds are increased.]]

Revision as of 23:57, 11 January 2010

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

Square Wave with similar periods to the cosine function
Fourier series animated to show increasing accuracy as evaluation bounds are increased.