This Video Elegantly Breaks Down the Fourier Series Using Circles

Watch this Youtuber perfectly visualize the Fourier Series in a way you have never seen before.
Donovan Alexander

Did you know that sine and cosine waves can make other functions? This lies at the heart of the Fourier Series.

It is a specific type of infinite mathematical series involving trigonometric functions. The series actually gets its name from the brilliant French mathematician physicist named Jean-Baptiste-Joseph Baron de Fourier.

His Fourier Series is used in applied mathematics across the realms of both physics and electronics. Today, the Fourier series can easily express functions such as those that comprise communications signal waveforms.

Now if you are a bit lost, do not worry, SmarterEveryDay has got you covered. Using the beauty of circles and the help of a Turkish Georgetown student, the video breaks down the Fourier Series in a way that you have never seen before.

Without giving away too many spoilers, the Turkish mathematician takes the complex math behind the series and creates a function that can handle almost anything that is thrown at it. 

The Fourier Series can be used for a host of things including signal processing, approximation theory, control theory, and even the partial differential equation. Be sure to check out the video and get your mind blown.      

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