- Docente: André Georges Martinez
- Credits: 7
- SSD: MAT/07
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Learning outcomes
At the end of the lecture, the student knows the basic tecniques
for the analytic study of mechanical systems. He also knows how to
use them for solving practical and theorical problems coming from
physics and engineering.
Course contents
-Lagrangian Mechanics: Hamilton principle; Euler-Lagrange
equations; cyclic coordinates; D'Alembert's principle; Noether
theorem.
-Hamiltonian formalism: Legendre transform; Hamilton equation;
Hamiltom flux; Canonical transformations; Generating functions;
Liouville theorem; Integrable systems; Stationary Hamilton-Jacobi's method.
Readings/Bibliography
-V. Arnold: Metodi matematici della meccanica classica (Editori
Riuniti)
-D. Graffi: Elementi di meccanica razionale (Patron Editore)
-G. Gallavotti: Meccanica elementare (Boringhieri)
Teaching methods
Classroom lectures and exercises.
Assessment methods
The final exam aims to evaluate the realization of the didactical
goals:
-Knowing how to solve practical and theorical problems coming from
physics and engineering;
-Owing a high standard of knowledge concerning analytic
mechanics.
The final grade is defined through an oral exam concerning the
arguments of the lectures.
Office hours
See the website of André Georges Martinez