Math 425: Fourier Series Example |
Spring 2011 |
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## Fourier Series Examples

- Fourier series for f(x)=x, -pi < x < pi. This can be done either using trigonometric functions of the complex exponential. These are equivalent -- and of course give the same result.

Here are examples of both approaches:

Fourier Series for f(x) = x using

Trig functions (Math 21 notes --see Section 3.4 p. 149) and complex exponentials.

- A graph using more and more terms of a Fourier series for f(x)=x:

- Real Fourier Series for a square wave. Graph of this.