Teodorescu P.P. Mechanical Systems, Classical Models. Volume III: Analytical Mechanics

Springer Science+Business, 2009. — 783 p. — (Mathematical and Analytical Techniques with Applications to Engineering). — ISBN: 9789048127641.The guideline of the book is precisely the mathematical model of mechanics. Starting from the particle (the simplest problem) and finishing with the study of dynamical systems, the book covers a wide number of problems.
This volume deals with analytical mechanics.Lagrangian Mechanics
Hamiltonian Mechanics
Variational Principles. Canonical Transformations
Other Considerations on Analytical Methods in Dynamics of Discrete Mechanical Systems
Dynamics of Non-holonomic Mechanical Systems
Stability and Vibrations
Dynamical Systems. Catastrophes and Chaos