In lagrangian we use scalar quantity which is much easier to solve then vector quantites used in newtonian.also lagrangian is invariant under gauge transformation and the same not hold good for newtonian.

Sergei F. Shandarin has written:

'Quasi-linear regime of gravitational instability' -- subject(s): Velocity distribution, Density distribution, Gravitational effects, Lagrangian function

A function constructed in solving economic models that include maximization of a function (the "objective function") subject to constraints. It equals the objective function minus, for each constraint, a variable "Lagrange multiplier" times the amount by which the constraint is violated. In physical terms, a Lagrangian is a function designed to sum up a whole system; the appropriate domain of the Lagrangian is a phase space, and it should obey the so-called Euler-Lagrange equations. The concept was originally used in a reformulation of classical mechanics known as Lagrangian mechanics. In this context, the Lagrangian is commonly taken to be the kinetic energy of a mechanical system minus its potential energy. The concept has also proven useful as extended to quantum mechanics.

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