Fourier Series of Simple Functions

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The Fourier series approximations of five different periodic functions are presented together with the corresponding functions themselves. The convergence of the Fourier series (or lack thereof) can be tested by increasing the number of terms in the series. It should be noted that for continuous functions (such as the periodic extension of the parabola), a few terms in the Fourier series provide an excellent approximation. Continuous functions with continuous derivatives (such as the periodic extension of the cubic) can be well approximated with as few as two or three terms.

Contributed by: Alain Goriely (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.