A History of the Conceptions of Limits and Fluxions in Great Britain from Newton to Woodhouse (Classic Reprint) - Softcover

Inhaltsangabe

I. EVERY great epoch in the progress of science is preceded by a period of preparation and prevision. The invention of the differential and integral calculus is said to mark a "crisis" in the history of mathematics. The conceptions brought into action at that great time had been long in preparation. The fluxional idea occurs among the schoolmen-among Galileo, Roberval, Napier, Barrow, and others. The differences or differentials of Leibniz are found in crude form among Cavalieri, Barrow, and others. The undeveloped notion of limits is contained in the ancient method of exhaustion ; limits are found in the writings of Gregory St. Vincent and many others. The history of the conceptions which led up to the invention of the calculus is so extensive that a good-sized volume could be written thereon. We shall not yield to the temptation of lingering on this pre-history at this time, but shall proceed at once to the subject-matter of the present monograph.

Table of Contents

Introductioni; CHAPTER I Newton; Newton's Publications printed before 1734 2; Principia 3; Wallis's De Algebra Tractatus 14; Quadratlira Curvarum (1704) 17; An Account of the Commercium Epistolicum 26; Newton's Correspondence and Manuscripts not in print in 1734 29; Remarks 32; CHAPTER II; Printed Books and Articles on Fluxions before 1734; John Craig, De Moivre, David Gregory, Fatio de Duillier, Cotes,; Ditton Cheyne 37; John Harris, 1702, 1705, 1710 40; Charles Hayes, 1704 -4'; William Jones, 1706 43; Humphry Ditton, 1706 43; Commercium Epistolicum D Johannis Collins, 1712 47 Joseph Raphson, 1715 49; Brook Taylor, 1715 50; James Stirling, 1717, 173050; Edmund Stone, 173050; Remarks 55; CHAPTER III; Berkeley's Analyst (1734); Controversy with Jurin and Walton; PAGE; The Analyst 57; Jurin's first reply to Berkeley 64; Walton's first reply to Berkeley 69; Berkeley's reply to Jurin and Walton 72; Walton's second reply to Berkeley 78; Jurin's second

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