Euler, Reader of Newton: Mechanics and Algebraic Analysis

Sébastien Maronne (1) , Marco Panza (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

We follow two of the many paths leading from Newton's to Euler's scientific productions, and give an account of Euler's role in the reception of some of Newton's ideas, as regards two major topics: mechanics and algebraic analysis. Euler contributed to a re-appropriation of Newtonian science, though transforming it in many relevant aspects. We study this re-appropriation with respect to the mentioned topics and show that it is grounded on the development of Newton's conceptions within a new conceptual frame also influenced by Descartes's views sand Leibniz's formalism.

Mots clés: Newton; Euler; 18th-Century Algebraic Analysis; Newtonian Mechanics; Classical Mechanics

Domaines: Histoire, Philosophie et Sociologie des sciences; Histoire et perspectives sur les mathématiques [math.HO]; Philosophie

Sébastien Maronne, Marco Panza. Euler, Reader of Newton: Mechanics and Algebraic Analysis. Advances in Historical Studies, 2014, Special Issue : Newton: History and Historical Epistemology of Science, 3, pp.12-21. ⟨10.4236/ahs.2014.31003⟩. ⟨hal-00415933⟩