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What is Fourier Series and Piecewise Functions about?

The document introduces Fourier series, which represent functions as infinite sums of trigonometric functions. Fourier series can represent piecewise continuous functions on an interval, even if the functions are not differentiable everywhere. The key steps are: (1) Guess that a solution to the heat equation can be written as a sum of simpler solutions. (2) This leads to solving ordinary differential equations to find the simpler solutions. (3) If the Fourier coefficients can be determined such that the Fou

Author
Nancy Q
Language
EN

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