The Mathematical Papers of Isaac Newton: Volume 3

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Overview

The main part of the third volume of Dr Whiteside's annotated and critical edition of all the known mathematical papers of Isaac Newton reproduces, from the original autograph, Newton's elaborate tract on infinite series and fluxions (the so-called Methodus Fluxionum), including a formerly unpublished appendix on geometrical fluxions. Ancillary documents include, in Part 1, papers on the integration of algebraic functions and, in Part 2, short texts dealing with geometry and simple harmonic motion in a cycloidal arc. Part 3 reproduces, from both manuscript versions of Newton's Lectiones Opticae and from his Waste Book, mathematical excerpts from his researches into light and the theory of lenses at this period. An appendix summarizes mathematical highlights in his contemporary correspondence.

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Table of Contents

Part I. Researches into Fluxions and Infinate Series: 1. Preliminary Scheme for a Treatsie on Fluxions; 2. The Tract '[De Methodis Serierum et Fluxionum]'; 3. The Quadrature of Curves Defined by Polynomials; Part II. Miscellaneous Researches: 1. The Second Book of Euclid's 'Elements' Reworked; 2. Research into the Elementary Geometry of Curved Surfaces; 3. Harmonic Motion in a Cyclodial Arc; Part III. Researches in Geometrical Optics: 1. Extracts from Newton's Lectures on Optics; 2. Miscellaneous Researches into Refraction at a Curved Interface

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