Introducción a la Mecánica Analítica

Introducción a la Mecánica Analítica

Renato C. Calleja Castillo

Martes y Jueves 11:45 am a 14:00 pm, por Zoom: https://cuaed-unam.zoom.us/j/97981339812


Material del curso


Temario

1. Mecánica Newtoniana
2. Leyes de Conservación
3. Sistemas conservativos de un grado de libertad
4. Funciones elípticas
5. Mecánica Lagrangiana
6. Lagrangianos, coordenadas generalizadas
7. Sistemas mecánicos holonómicos
8. Sistemas Hamiltonianos
9. Sistemas de referencia
10. Cuerpo rígido
11. Formulación Lagrangiana del cupero rígido
12. Mecánica Hamiltoniana
13. Sistemas Integrables


Bibliografía
• V. I. Arnold (Author), Mathematical Methods of Classical Mechanics (Graduate
Texts in Mathematics, Vol. 60) 2nd Edition
• Jorge V. José, Eugene J. Saletan, Classical Dynamics: A Contemporary
Approach (English Edition) 1st Edition
• D. Strauch, Classical Mechanics: An Introduction, Springer, 2009
• H. Goldstein, Classical Mechanics (3rd Edition) 3rd Edition, Pearson Education,
2002
• I. Percival, Introduction to Dynamics, Cambridge University Press, 1991
• Kenneth Meyer, Glen Hall, Dan Offin, Introduction to Hamiltonian Dynamical
Systems and the N-Body Problem, Springer, 2009.
• C. Robinson, Dynamical Systems: Stability, Symbolic Dynamics, and Chaos,
2nd Edition

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