Body: "Analytic mechanics" is the field of a collection of closely related alternative formulations of classical mechanics.
Some motivations are learn ways of taking advantage of a system's constraints to solve problems.
A few scholars of "Analytic mechanics" include Aristotle, Archimedes, Sir Isaac Newton, Andrew Cleland.
Several topics in "Analytic mechanics" include Basic ideas about Lagrangian and Hamiltonian dynamics, Variational calculus, Euler equation and constraints, Special theory of relativity.