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内容説明 This volume reproduces the texts of a number of important， yet relatively minor papers， many written during a period of Newton’s life (1677-84) which has been regarded as mathematically barren except for his Lucasian lectures on algebra (which appear in Volume V). Part 1 concerns itself with his growing mastery of interpolation by finite differences， culminating in his rule for divided differences. Part 2 deals with his contemporary advances in the pure and analytical geometry of curves. Part 3 contains the extant text of two intended treatises on fluxions and infinite series: the Geometria Curvilinea (c. 1680)， and his Matheseos Universalis Specimina (1684). A general introduction summarizes the sparse details of Newton’s personal life during the period， one - from 1677 onwards - of almost total isolation from his contemporaries. A concluding appendix surveys highlights in his mathematical correspondence during 1674-6 with Collins， Dary， John Smith and above all Leibniz.