The Mathematical Papers of Isaac Newton

This volume reproduces the texts of a number of important yet relatively minor papers many written during a period of Newton''s life (167784) 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 16746 with Collins Dary John Smith and above all Leibniz.