Fourier Series: Finding a Fourier Series Representation of a Function

Fourier Series: Finding a Fourier Series Representation of a Function
In this video, I demonstrate how to find the Fourier Series representation of a simple piecewise function with a period of 2. The process is lengthy but essential to understand for anyone studying Fourier analysis and its applications. Although I do not provide a proof for the coefficients' formulas, I use the theoretical background from earlier videos (check out the playlist for more). By the end of this video, you'll be able to break down a function into its Fourier series components and gain insight into the representation of periodic functions.

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What You Will Learn:
How to find the Fourier coefficients for a piecewise function.
How to set up and evaluate the integrals for coefficients.
Understanding the sine and cosine series that make up a Fourier series.
Applying the formulas for a_n and b_n and a_0 to represent a function.

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