Fourier Series: Explained!: Difference between revisions
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===How They Work=== |
===How They Work=== |
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Fourier Series says we can take a periodic fun |
Fourier Series says we can take a periodic fun |
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[[Image:Square Wave.jpg|300px|thumb|right|Square Wave with similar periods to the cosine function]] |
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[[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.]] |
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[[Image:Square Wave.jpg|300px|thumb|right|Fourier series animated to show increasing accuracy as evaluation bounds are increased.]] |
Revision as of 22:57, 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