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### An Amazing Formula

Generalizing Leibniz' formula for π, the alternating harmonic series, and the Basel problem

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Generalizing Leibniz' formula for π, the alternating harmonic series, and the Basel problem

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Riemann’s simple algorithm to approximate computationally any real number

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Solving the Basel problem, using an elementary introduction to Fourier series! Part 0: Motivation, some History, and Welcome! Hello and welcome! We are going to be tackling a beautiful problem, the ‘Basel Problem’. It was posed in 1650 by Pietro Mengoli, and it took 84 years to solve it, when