The Bernoulli brothers, Jacob and Johann, and Leibniz: Any of these might have been first to solve what is called the Bernoulli differential equation. We explore their ideas and the chronology of their work, finding out, among other things, that variation of parameters was used in 1697, 78 years before 1775, when Lagrange introduced it in general.
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Article
Peiffer, Jeanne;
(2006)
Jacob Bernoulli, maître et rival de son frère Johann
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Book
Paolo Freguglia;
Mariano Giaquinta;
(2016)
The Early Period of the Calculus of Variations
(/isis/citation/CBB578052686/)
Article
Meusnier, Norbert;
(2006)
Nicolas, neveu exemplaire
(/isis/citation/CBB001021370/)
Article
Charlotte Wahl;
(2014)
Between Cosmopolitanism and Nationalism. the Role of Expatriates in the Dissemination of Leibniz’s Differential Calculus
(/isis/citation/CBB567158444/)
Article
Bernoulli, Jacob;
Leibniz, Gottfried;
(2006)
Quelques échanges?
(/isis/citation/CBB001021367/)
Article
Capecchi, Danilo;
(2004)
Leibniz e la resistenza delle travi
(/isis/citation/CBB000770303/)
Article
García Alonso, Marta;
Teira Serrano, David;
(2006)
The Theology of Large Numbers: A Conjecture
(/isis/citation/CBB001021365/)
Book
Goldenbaum, Ursula;
Jesseph, Douglas;
(2008)
Infinitesimal Differences: Controversies between Leibniz and His Contemporaries
(/isis/citation/CBB000950297/)
Chapter
Niccolò Guicciardini;
(2015)
Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion
(/isis/citation/CBB805053813/)
Article
Guilbaud, Alexandre;
(2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert
(/isis/citation/CBB000933175/)
Article
Pradier, Pierre-Charles;
(2006)
De usu artis conjectandi in jure: quid de oeconomia (politica)?
(/isis/citation/CBB001021374/)
Article
Nauenberg, M.;
(2010)
The Early Application of the Calculus to the Inverse Square Force Problem
(/isis/citation/CBB001021999/)
Book
Bernoulli, Jakob;
Bernoulli, Johann;
(1991)
Die Streitschriften von Jacob und Johann Bernoulli: Variationsrechnung. Bearbeitet und kommentiert von Goldstine, Herman H., mit historischen Anmerkungen von Radelet-de Grave, Patricia
(/isis/citation/CBB000035187/)
Article
Bru, Bernard;
(2006)
The Bernoulli Code
(/isis/citation/CBB001021363/)
Article
Boswell, Terry;
(1990)
The brothers James and John Bernoulli on the parallelism between logic and algebra
(/isis/citation/CBB000047509/)
Book
Justin E. H. Smith;
(2015)
Nature, Human Nature, and Human Difference: Race in Early Modern Philosophy
(/isis/citation/CBB092443917/)
Book
Hess, Heinz-Jürgen;
Nagel, Fritz;
(1989)
Der Ausbau des Calculus durch Leibniz und die Brüder Bernoulli. Symposion der Leibniz-Gesellschaft und der Bernoulli-Edition der Naturforschenden Gesellschaft in Basel, 15. bis 17. Juni 1987
(/isis/citation/CBB000046624/)
Article
François Duchesneau;
(2019)
Le recours aux principes architectoniques dans la Dynamica de Leibniz
(/isis/citation/CBB978969993/)
Chapter
Ferriani, Maurizio;
(1982)
Leibniz, Bernoulli, il possibile e il probabile
(/isis/citation/CBB000054700/)
Article
Sylla, Edith Dudley;
(1998)
The emergence of mathematical probability from the perspective of the Leibniz-Bernoulli correspondence
(/isis/citation/CBB000081529/)
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