Mathematical Methods of Analytical Mechanics

Henri Gouin, is a specialist of continuum mechanics in which he has published numerous articles. He holds a BSE, a master's degree, aggregation in mathematics from the University of Paris and Ecole Normale Supérieure de Saint-Cloud, and a PhD and a State Doctorate in mathematics from the University of Provence. Professor at the university, he taught the analytical mechanics course for ten years at the Faculty of Sciences of Marseille. He is now Professor Emeritus at the University of Aix-Marseille, France.

Part 1. Introduction to the variation calculus 1. The elementary methods of variation calculus 2. Variation of a curvilinear integral 3. Noether's Theorem

Part 2. Applications to the analytical mechanics 4. The methods of analytical mechanics 5. Integration method of Jacobi 6. Spaces of mechanics - Poisson's brackets

Part 3. Properties of mechanical systems 7. Properties of the phase-space 8. Oscillations and small motions of mechanical systems 9. Stability of periodical systems