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The aim of this work is to bridge 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. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.

Hamiltonian systems. --- Lagrange equations. --- Mathematical physics. --- Physical mathematics --- Physics --- D'Alembert equation --- Equations, Euler-Lagrange --- Equations, Lagrange --- Euler-Lagrange equations --- Lagrangian equations --- Differential equations --- Equations of motion --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- Mathematics --- Mechanics. --- Statistical physics. --- Classical Mechanics. --- Complex Systems. --- Classical Electrodynamics. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Statistical methods --- Dynamical systems. --- Optics. --- Electrodynamics. --- Light --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Dynamics.

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Special relativity (Physics) --- Special relativity (physics) --- Relativité restreinte (Physique) --- Textbooks --- Problems, exercises, etc --- Manuels d'enseignement supérieur --- Problèmes et exercices --- Relativité restreinte (Physique) --- Manuels d'enseignement supérieur --- Problèmes et exercices --- Lorentz transformations --- Relativistic kinematics --- Relativité restreinte (physique) --- Lorentz, Transformations de --- Cinématique relativiste --- Study and teaching (Higher) --- Étude et enseignement (supérieur) --- Acqui 2006 --- Relativité restreinte (physique) --- Cinématique relativiste --- Étude et enseignement (supérieur)

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En 1905, Albert Einstein jette les bases d'une des théories les plus fondamentalesde l'histoire des sciences. Cette théorie conserve, plus d'un siècle plus tard,toute sa pertinence et nous oblige à abandonner nombre de concepts basés surle sens commun.Cet ouvrage présente les multiples aspects de la théorie de la relativitérestreinte : l'espace-temps, les transformations de Lorentz, la dynamiquerelativiste... Cette théorie est expliquée et illustrée par des expériences et desapplications comme le GPS.

Special relativity (Physics) --- Relativité restreinte (physique) --- Relativité restreinte (physique)

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Classical mechanics. Field theory --- Electromagnetism. Ferromagnetism --- Computer science --- golfmechanica --- informatica --- elektrodynamica --- mechanica