Chapter ID: CBB805053813

Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion (2015)

unapi

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.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB805053813/

Similar Citations

Book Goldenbaum, Ursula; Jesseph, Douglas; (2008)
Infinitesimal Differences: Controversies between Leibniz and His Contemporaries (/isis/citation/CBB000950297/)

Article François Duchesneau; (2019)
Le recours aux principes architectoniques dans la Dynamica de Leibniz (/isis/citation/CBB978969993/)

Article Peiffer, Jeanne; (2006)
Jacob Bernoulli, maître et rival de son frère Johann (/isis/citation/CBB001021364/)

Article Parker, Adam E.; (2013)
Who Solved the Bernoulli Differential Equation and How Did They Do It? (/isis/citation/CBB001320027/)

Article Guilbaud, Alexandre; (2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert (/isis/citation/CBB000933175/)

Article Nauenberg, M.; (2010)
The Early Application of the Calculus to the Inverse Square Force Problem (/isis/citation/CBB001021999/)

Article Belkind, Ori; (2013)
Leibniz and Newton on Space (/isis/citation/CBB001320865/)

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/)

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 Mathieu Gibier; (2019)
Dynamique et pneumatique : Leibniz face aux expériences paradoxales de Huygens (/isis/citation/CBB962675218/)

Article Debuiche, Valérie; (2013)
L'expression leibnizienne et ses modèles mathématiques (/isis/citation/CBB001201301/)

Article Bruce Pourciau; (2020)
The Principia’s second law (as Newton understood it) from Galileo to Laplace (/isis/citation/CBB715090012/)

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/)

Authors & Contributors
Nauenberg, Michael
Belkind, Ori
Debuiche, Valérie
Duchesneau, François
Dijck, Maarten Van
Freguglia, Paolo
Journals
Archive for History of Exact Sciences
Foundations of Science
Revue d'Histoire des Sciences
Almagest
Bollettino di Storia delle Scienze Matematiche
College Mathematics Journal
Publishers
Cambridge University Press
Birkhäuser
Ontos
P. Lang
University of Pennsylvania Press
Walter de Gruyter
Concepts
Mathematics
Motion (physical)
Calculus
Physics
Forces
Philosophy of science
People
Leibniz, Gottfried Wilhelm von
Newton, Isaac
Bernoulli, Johann
Bernoulli, Jakob
Bernoulli, family
Hermann, Jakob
Time Periods
18th century
17th century
19th century
Early modern
Places
Paris (France)
Europe
France
Netherlands
London (England)
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment