Includes bibliographical references and index.
The Lagrangian formulation -- Lagrangian systems -- Hamilton's principle -- Hamiltonian formalism -- Hamilton-Jacobi formalism -- Integrable systems -- Quasi-integrable systems -- From order to chaos.
This work bridges the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems.
Translated from the French.