NEWTON, Sir Isaac (1642-1727). Analysis per quantitatum series, fluxiones, ac differentias: cum enumeratione linearum tertii ordinis. Edited by William Jones (1675-1749). London: ex officina Pearsoniana, 1711.
4o (227 x 172 mm). Engraved title-page vignette, engraved head- and tail-pieces, 2 engraved folding tables, numerous woodcut diagrams in text. (Title-page slightly soiled with a few minor stains, some minor marginal browning.) Contemporary blind-panelled calf (rebacked, corners repaired); cloth folding case.
Provenance: Richard Waller ( ), secretary of the Royal Society (inscription inscription on the title-page: "Ric: Waller S.R. Secr. ex dono Dni Gul. Jones"); John Leslie (1766-1832), physicist (signature on front flyleaf dated 1824 and his? 23-page manuscript copy of excerpts relating to the Leibnitz/Newton debate); Edward Nelson (signature on front flyleaf dated 1833).
FIRST EDITION. PRESENTATION COPY FROM THE EDITOR, WILLIAM JONES, TO THE SECRETARY OF THE ROYAL SOCIETY. 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 (see lots *** and ***). 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). AN OUTSTANDING ASSOCIATION COPY. Babson/Newton 207; Wallis 293; Norman 1590.
[NEWTON, Isaac]. COLLINS, John. Commercium epistolicum D. Johannis Collins, et aliorum de analysi promota: jussu societatis regiae in lucem editum. London: typis Pearsonianis, 1712. 4o. Numerous woodcut diagrams in text. (Some light marginal browning and spotting). FIRST EDITION, variant state of p. 34 with catchword corrected to rei. The official report of the Royal Society on the dispute between Leibnitz and Newton over priority in the discovery of calculus, ruling in Newton's favor; the substantitive parts of the report were drafted largely by Newton himself. It work was printed for presentation only. Babson/Newton 186; Wallis 238; Gjertsen The Newton Handbook, pp. 127-29; Norman 1591. Bound following is 23 pages of manuscript notes in a 19th-century hand (mostly excerpts of correspondence, etc.) relating to the Leibnitz/Newton controversy (see provenance note).
CHEYNE, George (1671-1743). Fluxionum methodus inversa; sive quantitatum fluentium leges generaliores. London: J. Matthews for R. Smith, 1703. 4o. (Some inner marginal dampstaining.) Provenance: John Arbuthnot (1667-1735), physician and author of the political satire The History of John Bull, published in 1712 (presenation inscription from the author on the front free endpaper). FIRST EDITION. PRESENATION COPY FROM CHEYNE TO JOHN ARBUTHNOT. Norman 470.