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Lagrange equations. From the Renaissance to today

Lagrange equations. From the Renaissance to today

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Loseph Louis de Lagrange (Turin, 1736 - Paris, 1813) was a French mathematician of Italian origin. The reading of a work by English astronomer Edmund Halley aroused an interest in mathematics and astronomy.

In his work Miscellanea taurinensia, he obtained, among other results, a general differential equation of movement and its adaptation for the particular case of rectilinear movement and the solution to many dynamics problems by calculating variants. He also wrote numerous articles on integral calculus and the general differential equations of the movement of three bodies subjected to mutual attractive forces.

The basic idea is that all physical particle systems are subjected to forces of external interaction that can be formulated vectorially, so that one part tends to cause an acceleration movement of the system and another part to balance the restrictive binding forces.

His work on the lunar balance, where he reasoned that the Moon always showed the same face, was the award, in 1764, of an award by the Academy of Sciences of Paris. He wrote a great variety of treatises on astronomy, solving equations, calculating second and third order determinants, differential equations and analytical mechanics.

His teachings on differential calculus form the basis of his works Theory of Analytical Functions and Resolution of Numerical Equations (1798). In 1810 he began a revision of his Theory, but could only conclude two thirds before his death.

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