|Math 425: Fourier Series Example||Spring 2011|
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.