Principle of Least ActionCovers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Lagrange MethodCovers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.
Euler-Lagrange EquationsCovers the derivation and application of Euler-Lagrange equations for optimization problems in mathematical analysis.
Constraints and LagrangeCovers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Euler-Lagrange EquationCovers the Euler-Lagrange equation in Sobolev spaces and discusses minimization, convexity, and weak forms.