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The Gaussian Integral — The Most Beautiful Result in Analysis
Mathematics9 min read

The Gaussian Integral — The Most Beautiful Result in Analysis

A comprehensive exploration of the Gaussian integral — its history from de Moivre to Gauss, the celebrated polar-coordinates proof, alternative derivations via the Gamma function and Feynman’s technique, and its extraordinary applications across probability, quantum mechanics, and number theory.

Gaussian integralcalculusanalysisprobabilityspecial functionsclassical mathematics

Abdelouahab Mostafa

Notes, articles, and research-oriented writing in mathematics from Mila, Algeria.

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