내용
Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a point mass be described as a 'wave'? This book offers students an understanding of the most relevant and far-reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises and solved problems.
차례
1. Geometric and Kinematic Foundations of Lagrangian Mechanics
2. Dynamics: General Laws and the Dynamics of a Point Particle
3. One-dimensional Motion
4. The Dynamics of Discrete Systems. Lagrangian Formalism
5. Motion in a Central Field
6. Rigid Bodies: Geometry and Kinematics
7. The Mechanics of Rigid Bodies: Dynamics
8. Analytical Mechanics: Hamiltonian Formalism 9. Analytical Mechanics: Variational Principles 10. Analytical Mechanics: Canonical Formalism 11. Analytical Mechanics: Hamilton-Jacobi Theory and Integrability
12. Analytical Mechanics: Canonical Perturbation Theory
13. Analytical Mechanics: An Introduction to Ergodic Theory and to Chaotic Motion
14. Statistical Mechanics: Kinetic Theory
15. Statistical Mechanics: Gibbs Sets
16. Langrangian Formalism in Continuum Mechanics
Appendices
저자 소개
Fasano Department of Mathematics University of Firenze
Marmi