But what is a Fourier series? From heat flow to circle drawings: Differential Equations - Part 4 0f 5

The video explores the concept of complex Fourier series, illustrating how rotating vectors can be used to draw intricate shapes. It delves into Fourier's work on the heat equation, explaining how Fourier series can model various phenomena. The video also discusses infinite sums and real analysis, highlighting the mathematical beauty and complexity of these concepts. It introduces complex functions and their decomposition into rotating vectors, providing a foundation for understanding Fourier coefficients and their computation.

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