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[NEWTON, Isaac (1642-1727)].
Analysis per quantitatum series, fluxiones, ac differentias: cum enumeratione linearum tertii ordinis. London: Pearson, 1711.
First edition in contemporary English vellum of Newton's first independent treatise on the higher mathematics, containing his discovery of the differential calculus. This work includes the first printed appearances of Newton's De analysi per aequationes numero terminorum infinitas and Methodus differentialis, as well as reprints of the tracts on quadratures and cubics firt published in Opticks. De analysi, originally written in 1669 to protect his priority in the invention of the calculus, contains the earliest printed account of the binomial theorem. ‘In 1711, Newton permitted mathematician William Jones (one of the few allowed access to Newton's manuscripts) to publish these four tracts; aside from his association with Newton, Jones is chiefly remembered for having introduced the symbol into mathematical notation’ (Norman). Norman 1590; Babson 207.
Quarto (236 x 180mm). 2 folding charts, engraved vignettes and diagrams (occasional minor spotting). Contemporary English blindstamped vellum over boards, sides with central lozenge within double-fillet inner panel and floral stamp at corners, contained within triple-fillet borders, lettered in manuscript to head of spine (slightly soiled, rear pastedown partially lifted from board). Provenance: some notes and trials in pencil on pastedowns.
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