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The Mathematical Papers of Isaac Newton

The Mathematical Papers of Isaac Newton

The Mathematical Papers of Isaac Newton

Volume 4: 1674–1684
Isaac Newton
D. T. Whiteside
January 2008
4. 1674–1684
Paperback
9780521045834
£42.99
GBP
Paperback

    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.

    Product details

    January 2008
    Paperback
    9780521045834
    722 pages
    244 × 37 × 170 mm
    1.13kg
    Available

    Table of Contents

    • Part I. Researches in Algebra, Number Theory and Trigonometry:
    • 1. Approaches to a General Theory of Finite Differences
    • 2. Problems in Elementary Number Theory
    • 3. Codifications of Elementary Plane and Spherical Trigonometry
    • 4. Miscellaneous Notes on Annuities and Algebraic Factorization
    • Part II. Researches in Pure and Analytical Geometry:
    • 1. Miscellaneous Problems in Elementary Geometry
    • 2. Researches into the Greek 'Solid Locus'
    • 3. Miscellaneous Topics in Analytical Geometry
    • Part III. The 'Geometria Curvilinea' and 'Matheseos Universalis Specimina':
    • 1. The 'Geometry of Curved Lines'
    • 2. Specimens of a Universal System of Mathematics
    • Appendix.
    • Isaac Newton
    • Editor
    • D. T. Whiteside