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 (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 2008Paperback
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.