Traité des fluxions.

by Colin Maclaurin

€1,800 · Offered by Librairie Clavreuil

DSB, VIII, 609-611 DSB, X, 571-572 ; Norman, 1408 (pour l é.o. 1742). Première édition de la traduction française par le père Esprit Pézenas (1692-1776). La Théorie de Fluxions de Maclaurin (1698-1746) est une défense mathématique des travaux de Newton qui furent attaqués par l’évêque George Berkeley. « In the Treatise Maclaurin tried to provide a geometrical framework for the doctrine of fluxions; in this way he hoped to refute his critics, the most vociferous of whom was George Berkeley, Bishop of Cloyn” (DSB). « Maclaurin published his Treatise of fluxions , in which he attempted to establish the rigor of the calculus using the geometrical methods favored by Newton. The Treatise is noteworthy for its solutions to a number of problems in geometry, statics and the theory of attractions; its presentation of « Maclaurin s test » for convergence of infinite series; its elaboration, using Euclidean geometry, of many of the principles stated in Newton s Principia ; its presentation of the first correct theory for distinguishing between maximum and minimum values of a function; and its discussion of the attraction of an ellipsoid on an internal point, in which Maclaurin proved that the oblate spheroid is an equilibrium shape for a fluid of uniform density under constant angular rotation » (Norman) « The earliest logical and systematic publication of the Newtonian methods. It stood as a model of rigor until the appearance of Cauchy s Cours d Analyse in 1821 (DSB). Esprit Pézenas tr

• Binding: Hardcover

Found via Rare Books Intel, a search across rare-book dealers, auction houses and marketplaces worldwide.