Intro to Fourier series and how to calculate them
This is a basic introduction to Fourier series and how to calculate them. An example is presented that illustrates the computations involved. Such ideas are seen in university mathematics.
How to compute a Fourier series: an example
This video is a simple demonstration on how to compute a Fourier series of a simple given function. I discuss how to calculate the Fourier coefficients through integration and the simplifications involved.
Fourier series are an important area of applied mathematics, engineering and physics that are used in solving partial differential equations, such as the heat equation and the wave equation. Fourier series are named after J. Fourier, a French mathematician who was the first to correctly model the diffusion of heat.
Fourier series + differential equations
This video shows how to solve differential equations via Fourier series. A simple example is presented illustrating the ideas, which are seen in university mathematics.
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