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.
General
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