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A Treatise of Fluxions In Two Books
Edinburgh : T.W. and T. Ruddimans, MDCCXLII [1742]. First edition. Two volumes, quarto, contemporary calf (scuffed and worn, rebacked and recased, preserving the original title labels). Vol. I: previous owner's wet stamps to front paste down and half title, early newspaper clippings to first blank opposite the half title, half title, title page (early ownership inscriptions of James Boone, 1782, and Edward Wilson, 1878, verso), dedication leaf (ownership inscription by Wilson, verso), pp vi, later manuscript table of contents on lined paper inserted after preface, 412, 24 folding engraved plates (the first has been extracted and dissected with the relevant diagrams pasted on the corresponding pages). Vol. II: previous owner's wet stamps to preliminaries, title page (with inscriptions as in Vol I), pp 413-763, errata, 16 folding engraved plates, extensive manuscript calculations by Boone to pp 544 - 550, both volumes with preliminary and end leaves showing marginal water staining and repairs to the gutters. "The earliest logical and systematic publication of the Newtonian methods" (Dictionary of Scientific Biography). The Scottish mathematician Colin Maclaurin'sTreatise of Fluxions,published fifteen years after Newton's death, was a response to Bishop George Berkeley's criticisms of Newtonian method in infinitesimal calculus. Fluxion, in Newton's notation, is the derivative of any continuous function. Newton's notation of fluxions was eventually superceded by Leibniz's notation of derivatives, which remains dominant in the vocabulary of modern calculus. Among Maclaurin's numerous other contributions to mathematics were his expansion of Newton's ellipsoid theory of the Earth as outlined in Principia, and his pioneering of the empirical study of the rotation of astronomical bodies in the framework of classical physics. The first ownership inscriptions in these two volumes are those of James Boone, Junior (1744-1795), a member of one of the most significant Pennsylvania pioneer families, which most notably included his cousin, the frontiersman Daniel Boone. James Boone Junior was known as an outstanding mathematician from an early age, and he studied in Philadelphia to become a schoolmaster. Books from Boone's library are characterised by his neat and studious annotations, and the marginal annotations present in Volume II represent an early application of Maclaurin's angular momentum of elliptical body theories. These are calculations of various dimensions of the earth, reconciled with the predictions calculated from Newton's Theory of Gravity. Boone's namesake, James Boone Senior (1709-1785) emigrated from England around 1720 and was a prominent Justice of the Peace in Exeter, Pennsylvania. Boone Senior's support of the colonial cause during the American Revolution has been recognised by the Daughters of the American Revolution (DAR Ancestor # A012104).
      [Bookseller: Douglas Stewart Fine Books]
Last Found On: 2017-07-11           Check availability:      Direct From Seller    


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