Pese a ciertas formulaciones de Newton, y a algunas sugerencias mas bien aisladas de Leibniz, el concepto basico del calculo infinitesimal no es para ellos el concepto moderno de limite, sino el de fluxion
y el de diferencial respectivamente.
Cajori, A history of the conceptions of limits and fluxions
in Great Britain from Newton toWoodhouse, Chicago, 1919.
Use Newton's method to calculate the fluxion
of xy - a = 0
Parliament is suppressed, Catholicism reinstated, Newton is replaced by Jesuits, Cartesianism prevails, and thus no steam-engine breakthrough--Collins rightly observes that broader and deeper structural patterns render each of these alleged contingencies highly unlikely, and that the fluxions
of the short-term and local are invariably reintegrated within the institutional and cultural macro-dynamics underway.
The theory of fluxions
was a brilliant addition to the armoury of the geometer, and was used by Newton to extend the range and power of geometrical reasoning.
Whiteside on Newton's mathematical studies allows a detailed picture of the painful and dramatic path through which Newton established the doctrine of fluxions
and then fought challenges from Leibniz and his continental allies.
The first chair in mathematics and natural philosophy was endowed at Harvard in 1727, and its first incumbent was Isaac Greenwood, who gave a course in fluxions
One of the greatest geniuses the world has known, Newton made three scientific discoveries of fundamental importance: first, the method of fluxions
, which forms the basis of modern calculus; second, the law of the composition of light; and third, the law of universal gravitation, which he presented to the world in his major work,
Redoubling these fluxions
, the footage is projected onto a suspended sheet, intermittently blown by a fan, with the screening room's darkness periodically undone by timed bursts of light.
His greatest idea of all, fluxions
and the law of gravitation, came to him about 1666, when he was twenty-four .
As opposed to Leibnizian differences, Knox notes, "the method of fluxions
was intimately bound to Britons' understanding of God's omnipresence and dominion in the universe" (p.
6 I have examined this in detail in my as yet unpublished paper 'Force, Fluxions
and Inertia: Implications of Newton's Early Proof of the Parallelogram Law'.