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Arithmetic of Infinities
work by Wallis
Also known as: “Arithmetica Infinitorum”
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discussed in biography
- In John Wallis
In his Arithmetica Infinitorum (“The Arithmetic of Infinitesimals”) of 1655, the result of his interest in Torricelli’s work, Wallis extended Cavalieri’s law of quadrature by devising a way to include negative and fractional exponents; thus he did not follow Cavalieri’s geometric approach and instead assigned numerical values…
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history of mathematics
- In mathematics: The precalculus period
…in his Arithmetica Infinitorum (1655; The Arithmetic of Infinitesimals). Wallis, a successor to Henry Briggs as the Savilian Professor of Geometry at Oxford, was a champion of the new methods of arithmetic algebra that he had learned from his teacher William Oughtred. Wallis expressed the area under a curve as…
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