18.103 | Fall 2013 | Undergraduate

Fourier Analysis

Course Description

This course continues the content covered in 18.100 Analysis I. Roughly half of the subject is devoted to the theory of the Lebesgue integral with applications to probability, and the other half to Fourier series and Fourier integrals.

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Three graphs, showing successive partial Fourier series of a square wave, overlayed onto the original square wave. Each successive Fourier series more closely resembles the original square wave.
The first three successive partial Fourier series (shown in red) for a square wave (shown in blue). The second half of the course is devoted to Fourier series and Fourier integrals. (Image by user Jim.belk on Wikipedia and is in the public domain.)
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