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Isaac Newton on Mathematical Certainty and Method$
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Niccolo Guicciardini

Print publication date: 2009

Print ISBN-13: 9780262013178

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262013178.001.0001

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The Analytical Method of Fluxions

The Analytical Method of Fluxions

(p.168) (p.169) 8 The Analytical Method of Fluxions
Isaac Newton on Mathematical Certainty and Method

Niccolò Guicciardini

The MIT Press

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. After making his De Methodis treatise, he also sought to develop his inverse method algorithm, while also creating a better conceptual foundation to the direct method. The chapter notes that Newton continued in improving the two methods until he composed the De Quadratura, a work which explains the most advanced refinement of his method of fluxions.

Keywords:   Newton, fluxions, De Methodis, direct method

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