The Analytical Foundation of Mechanics of Discrete Systems in Lagrange's Théorie des Fonctions Analytiques, Compared with Lagrange's Earlier Treatement of This Topic

Marco Panza (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

The paper deals with the evolution of Lagrange's program in foundation of analytical mechanics, with particular attention for the last version of it, offered in the Théorie des fonctions analytiques (1797 and 1813), where variations are replaced with appropriate derivative functions.

Mots clés: Lagrange; Analytical Mechanics; Theory of Analytical Functions; Principle of Last Action; Principle of Virtual Velocities; Calculus of Variations

Domaines: Histoire, Philosophie et Sociologie des sciences

Marco Panza. The Analytical Foundation of Mechanics of Discrete Systems in Lagrange's Théorie des Fonctions Analytiques, Compared with Lagrange's Earlier Treatement of This Topic. Historia Scientiarum, 1991, 1991 and 1992 (1-2(1991) and 1-3(1992)), pp.87-132 (1991) and 181-212 (1992). ⟨halshs-01056551⟩