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This chapter presents a modern exposition of ‘Arithmetica Infinitorum’ byWallis. It includes formulas for areas between curves, Riemann’s Theory of integration, elements of numerical integration, the Newton-Leibniz formula, Wallis’s infinite product, Brouncker’s continued fraction, evaluation of π. Lorenz Curves, Robin Hood and Gini indexes, Consumer and Producer Surplus.

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Arithmetica Infinitorum: Wallis’ Theory

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  • 发表日期：

    2025年

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  • Sergey Khrushchev

摘要

This chapter presents a modern exposition of ‘Arithmetica Infinitorum’ byWallis. It includes formulas for areas between curves, Riemann’s Theory of integration, elements of numerical integration, the Newton-Leibniz formula, Wallis’s infinite product, Brouncker’s continued fraction, evaluation of π. Lorenz Curves, Robin Hood and Gini indexes, Consumer and Producer Surplus.