- Title Pages
- Epigraph
- Preface
- Abbreviations and Conventions
-
I Preliminaries -
1 Newton on Mathematical Method: A Survey -
2 Newton on Certainty in Optical Lectures -
3 Descartes on Method and Certainty in the Géométrie -
II Against Cartesian Analysis and Synthesis -
4 Against Descartes on Determinate Problems -
5 Against Descartes on Indeterminate Problems -
6 Beyond the Cartesian Canon: The Enumeration of Cubics -
III New Analysis and the Synthetic Method -
7 The Method of Series -
8 The Analytical Method of Fluxions -
9 The Synthetic Method of Fluxions -
IV Natural Philosophy -
10 The Principia -
11 Hidden Common Analysis -
12 Hidden New Analysis -
V Ancients and Moderns -
13 Geometry and Mechanics -
14 Analysis and Synthesis -
VI Against Leibniz -
15 The Quarrel with Leibniz: A Brief Overview -
16 Scribal Publication, 1672−1699 -
17 Fluxions in Print, 1700−1715 - Conclusion
- A Brief Chronology of Newton’s Mathematical Work
- References
- Index
The Analytical Method of Fluxions
The Analytical Method of Fluxions
- Chapter:
- (p.168) (p.169) 8 The Analytical Method of Fluxions
- Source:
- Isaac Newton on Mathematical Certainty and Method
- Author(s):
Niccolò Guicciardini
- Publisher:
- 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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- Title Pages
- Epigraph
- Preface
- Abbreviations and Conventions
-
I Preliminaries -
1 Newton on Mathematical Method: A Survey -
2 Newton on Certainty in Optical Lectures -
3 Descartes on Method and Certainty in the Géométrie -
II Against Cartesian Analysis and Synthesis -
4 Against Descartes on Determinate Problems -
5 Against Descartes on Indeterminate Problems -
6 Beyond the Cartesian Canon: The Enumeration of Cubics -
III New Analysis and the Synthetic Method -
7 The Method of Series -
8 The Analytical Method of Fluxions -
9 The Synthetic Method of Fluxions -
IV Natural Philosophy -
10 The Principia -
11 Hidden Common Analysis -
12 Hidden New Analysis -
V Ancients and Moderns -
13 Geometry and Mechanics -
14 Analysis and Synthesis -
VI Against Leibniz -
15 The Quarrel with Leibniz: A Brief Overview -
16 Scribal Publication, 1672−1699 -
17 Fluxions in Print, 1700−1715 - Conclusion
- A Brief Chronology of Newton’s Mathematical Work
- References
- Index