Liouville’s theorem and the foundation of classical mechanics
Keywords: information, determinism, Liouville’s theorem, Hamilton’s equations, Hamilton’s principle
In this article, it is suggested that a pedagogical point of departure in the teaching of classical mechanics is the Liouville’s theorem. The theorem is interpreted to define the condition that describes the conservation of information in classical mechanics. The Hamilton’s equations and the Hamilton’s principle of the least action are derived from the Liouville’s theorem.
Mathematical and Computational Physics