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Math 139 Fourier Analysis Lecture 12: Fourier series and the isoperimetric inequality
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Fourier Series and the Isoperimetrric Inequality. Basic knowledge about curves: parametrized curve; length of a curve; arclength parametrization. Area enclosed by simple closed curve is maximized if the curve is a circle.
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Math 139 Fourier Analysis Lecture 17: Fourier Inversion
Math 139 Fourier Analysis Lecture 16: Basic Properties of the Fourier Transform
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