Lagrangian mechanics
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In physics, Lagrangian mechanics is an alternate formulation of classical mechanics founded on the d'Alembert principle of virtual work. It was introduced by the Italian-French mathematician and astro
Joseph-Louis Lagrange (1736–1813)
Isaac Newton (1642–1727)
Jean d'Alembert (1717–1783)
Hamiltonian mechanics
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In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces velocities q ˙ i used in Lag
Lagrangian mechanics
…the motion of the system is, all the coordinates and velocities will vary in such a way that these momenta are conserved. Given a Lagrangian L , the Hamiltonian of the corresponding mechanical system is, by definition, H = ( ∑ i = 1 n q ˙ i ∂ L ∂ q ˙ i ) − L . This quantity will be equivalent to energy if the…
Sir William Rowan Hamilton