Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion (2015)
In this essay I analyze the solutions given by Isaac Newton and Johann Bernoulli to a well-posed mathematical problem known in the eighteenth century as the ‘inverse problem of central forces’. This work prompted polemical exchanges between two rival groups: the first, whose leader was Newton, was based in Oxford, Cambridge, and London; the second, whose leading representatives were Leibniz and Bernoulli, was scattered througout Europe, though centered in Basel and Paris.
...MoreBook David E. Rowe; Wann-Sheng Horng (2015) A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben.
Similar Citations
Book
Goldenbaum, Ursula;
Jesseph, Douglas;
(2008)
Infinitesimal Differences: Controversies between Leibniz and His Contemporaries
(/isis/citation/CBB000950297/)
Book
Wardhaugh, Benjamin;
(2012)
The History of the History of Mathematics: Case Studies for the Seventeenth, Eighteenth, and Nineteenth Centuries
(/isis/citation/CBB001251196/)
Article
Parker, Adam E.;
(2013)
Who Solved the Bernoulli Differential Equation and How Did They Do It?
(/isis/citation/CBB001320027/)
Article
Peiffer, Jeanne;
(2006)
Jacob Bernoulli, maître et rival de son frère Johann
(/isis/citation/CBB001021364/)
Article
Charlotte Wahl;
(2014)
Between Cosmopolitanism and Nationalism. the Role of Expatriates in the Dissemination of Leibniz’s Differential Calculus
(/isis/citation/CBB567158444/)
Article
Nauenberg, M.;
(2010)
The Early Application of the Calculus to the Inverse Square Force Problem
(/isis/citation/CBB001021999/)
Article
Guilbaud, Alexandre;
(2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert
(/isis/citation/CBB000933175/)
Article
Dyck, Maarten Van;
Verelst, Karin;
(2013)
“Whatever Is Neither Everywhere Nor Anywhere Does Not Exist”: The Concepts of Space and Time in Newton and Leibniz
(/isis/citation/CBB001320861/)
Article
Nauenberg, Michael;
(2014)
Orbital Motion and Force in Newton's Principia; the Equivalence of the Descriptions in Propositions 1 and 6
(/isis/citation/CBB001321045/)
Book
Khamara, Edward J.;
(2006)
Space, Time, and Theology in the Leibniz-Newton Controversy
(/isis/citation/CBB000741545/)
Book
Schmidt, Benjamin;
(2015)
Inventing Exoticism: Geography, Globalism, and Europe's Early Modern World
(/isis/citation/CBB001510111/)
Book
Paolo Freguglia;
Mariano Giaquinta;
(2016)
The Early Period of the Calculus of Variations
(/isis/citation/CBB578052686/)
Article
Belkind, Ori;
(2013)
Leibniz and Newton on Space
(/isis/citation/CBB001320865/)
Article
François Duchesneau;
(2019)
Le recours aux principes architectoniques dans la Dynamica de Leibniz
(/isis/citation/CBB978969993/)
Article
Nauenberg, Michael;
(2003)
Kepler's Area Law in the Principia: Filling in some Details in Newton's Proof of Proposition 1
(/isis/citation/CBB000410830/)
Article
Bruce Pourciau;
(2020)
The Principia’s second law (as Newton understood it) from Galileo to Laplace
(/isis/citation/CBB715090012/)
Book
Greenberg, John L.;
(1995)
The Problem of the Earth's Shape From Newton to Clairaut: The Rise of Mathematical Science in Eighteenth-Century Paris and the Fall of “Normal” Science
(/isis/citation/CBB000111582/)
Article
Debuiche, Valérie;
(2013)
L'expression leibnizienne et ses modèles mathématiques
(/isis/citation/CBB001201301/)
Article
Mathieu Gibier;
(2019)
Dynamique et pneumatique : Leibniz face aux expériences paradoxales de Huygens
(/isis/citation/CBB962675218/)
Book
Thomas Sonar;
(2018)
The History of the Priority Dispute between Newton and Leibniz: Mathematics in History and Culture
(/isis/citation/CBB932102269/)
Be the first to comment!