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Full Description
Newton's mathematical researches during the last five years of his stay in Cambridge before leaving in April 1696 to take up his duties at the Mint in London have three main centres of interest: methods of fluxions and series, classical pure geometry, and Cartesian analytical geometry. Part 1 reproduces Newton's advances at this time in further extending the techniques of his combined calculus of fluxions and fluent, and of expansion into infinite series. Part 2 gives publication of Newton's lengthy excursions in the early 1690s into the modes of geometrical analysis used by the 'ancient' geometers, based - by way of Commandino's Latin translation - on the account of this little understood field of the Greek 'topos analuomenos' which was given by Pappus in the prolegomenon to the seventh book of his Mathematical Collection. Part 3 gives prominence to the final text of the Enumeratio Linearum Tertii Ordinis which Newton put together in June 1695.
Contents
Part I. The First Tract 'De Quadratura Curvarum': Part II. Researches in Pure Geometry and Quadrature of Curves: 1. Restoring the Greeks' Geometrical Method; 2. Essays at a Multipartite 'Geometria'; 3. The Final 'Geometriæ Libri Duo'; Part III. Cartesian Analysis of Higher Plane Curves and Finite-Difference Approximations: 1. Improved Enumeration of the Cubic's Species; 2. Miscellaneous Analytical Investigations of Cubic and Quartic Curves; 3. Interpolation and Approximate Quadrature by Curve-Fitting; Index of Names
