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Newton Papers : Fluxions. The items in Add. 3960 were composed in different periods, from the mid 1660s [Add. 3960.12] to the early 1690s and early 1700s, when Newton planned to write a treatise on the calculus, what he termed ‘the methods of series and fluxions’.
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Two methods for computing derivative of f (x) by the method of fluxions; 1. Algebraically; e.g., expand f (x+o) in a power series in powers of o (Maclaurin) and look for the coefficient (‘modulus’) of the term linear in o 2. Geometrically; e.g., cos, sin, tan, ….
Leibniz. Newton’ method of “fluxions” studied how things change. Leibniz did similar work at about the same time, and contributed additionally some of the notation we use to this day. We will address two basic questions in this course. First, how can we find the slope of a line that is tangent to an arbitrary curve at a given point?
This chapter explores the analytical method of fluxions, as stated in De Methodis. Newton’s method of fluxions can be divided into two parts: The direct and the inverse. Newton considered the techniques of the direct method to be perfected, as presented in his treatise De Methodis.
From 1664 to the 1690s Newton elaborated several versions of it. Furthermore, Newton distinguished between an analytical and a synthetic method of fluxions (§2.3). In this chapter I will attempt a periodization of these versions, paying attention to concepts, rather than to results.
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Isaac Newton - The Method of Fluxions- Application to the Geometry - Free ebook download as PDF File (.pdf), Text File (.txt) or read book online for free. This document is a preface to a translation of Sir Isaac Newton's work on infinite series and their application to curve lines.
