The Mathematical Papers of Isaac Newton: Volume 4, 1674-1684

ISBN-13: 9780521045834 / Angielski / Miękka / 2008 / 722 str.

D. T. Whiteside

Opis

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."