Fonctions Et Integrales Elliptiques

TL;DR

This paper provides an expository overview of elliptic functions and integrals, discussing their properties, consequences, and applications to classical problems like the pendulum and rigid body motion.

Contribution

It offers a comprehensive exposition of elliptic functions and integrals, highlighting their properties and applications in integrable systems.

Findings

Elliptic functions have fundamental properties useful in solving classical problems.

Applications include the simple pendulum and Euler rigid body motion.

The paper discusses consequences and integrability of these functions.

Abstract

This 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.