mathematics

Henri Léon Lebesgue and the Theory of Integration

Henri Léon Lebesgue and the Theory of Integration

On June 28, 1875, French mathematician Henri Léon Lebesgue was born. He is best known for his theory of integration, which was a generalization of the 17th century concept of integration, i.e. summing the area between an axis and the curve of a function defined for that axis. By extending the work of Camille Jordan and Émile Borel on the Riemann integral, Lebesgue provided a generalization that solved many of the difficulties…
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Cavalieri’s Principle

Cavalieri’s Principle

On November 30, 1648, Italian mathematician Bonaventura Cavalieri passed away. He is known for his work on the problems of optics and motion, work on the precursors of infinitesimal calculus, and the introduction of logarithms to Italy. Cavalieri’s principle in geometry partially anticipated integral calculus. “Rigor is the concern of philosophy not of geometry.” (Bonaventura Cavalieri) Bonaventura Cavalieri – The Youth of a Mathematician Born at Milan, Cavalieri was given the name Francesco…
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