"Mechanical Systems, Classical Models. Volume I: Particle Mechanics" by Petre P. Teodorescu
MATHEMATICAL AND ANALYTICAL TECHNIQUES WITH APPLICATIONS TO ENGINEERING
Springer | 2007 | ISBN: 1402054416 1402054424 9781402054419 | 783 pages | PDF/djvu | 15/11 MB
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 (including bifurcation, catastrophes and chaos), the book covers a wide number of problems (classical or new ones).