2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133167This paper presents the basic ideas and properties of elliptic functions and elliptic integrals as an expository essay. It explores some of their numerous consequences and includes applications to some problems such as the simple pendulum, the Euler rigid body motion and some others integrable hamiltonian systems.46 pages. An expository essayComplex VariablesMathematical Physics33E05text