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Contents Foreword Synoptic Tables. Chapter 1 : The Lagrangian formulation 1 1 problems Chapter 2 : Lagrangian systems 14 problems Chapter 3 : The Hamilton's principle 15 problems Chapter 4 : The Hamiltonian formalism 17 problems Chapter 5 : The Hamilton-Jacobi formalism 1 1 problems Chapter 6 : Integrable systems 18 problems Chapter 7 : Quasi-integrable systems 9 problems Chapter 8 : From order to chaos 12 problems. 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. Subject Hamiltonian systems. Lagrange equations.