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infinitesimal calculus
noun
Differential calculus and integral calculus considered together as a single subject.
synonyms
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In mathematics, he was the original discoverer of the infinitesimal calculus.
His other publications include Infinitesimal Calculus (1897), Dynamical Theory of Sound (1910), Statics (1912), Dynamics (1914), and Higher Mechanics (1920).
Peano became a lecturer of infinitesimal calculus at the University of Turin in 1884 and a professor in 1890.
1990, (with E. Vailati) Detleff Clüver: an early opponent of the infinitesimal calculus, Centaurus, vol. 33, pp. 325-344.
James Stirling, (born 1692, Garden, Stirling, Scotland died December 5, 1770, Edinburgh), Scottish mathematician who contributed important advances to the theory of infinite series and infinitesimal calculus.
His other writings include research into the nature of light and colour and studies in infinitesimal calculus and in the psychology of vision.
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Newton later became discontented with the undeniable presence of infinitesimals in his calculus, and dissatisfied with the dubious procedure of "neglecting" them.
During this period his main areas of research were in infinitesimal geometry (applications of calculus to geometry) and the theory of partial differential equations.
In the 1960s the German-born American Abraham Robinson similarly used nonstandard models of analysis to create a setting where the nonrigorous infinitesimal arguments of early calculus could be rehabilitated.
In the engineer's practical treatment of the differential calculus, an infinitesimal is a number so small that its square and all higher powers can be neglected.
He applied these operations to variables and functions in a calculus of infinitesimals.
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