Leonard M. Sander
Grader: Liantao Wang
Text: H. Goldstein, C. Poole, & J. Safko, Classical Mechanics, Addison Wesley, 2002
Recommended: E. Ott, Chaos in Dynamical Systems, Cambridge University Press, 1993
I will give a treatment of advanced classical dynamics with Langranian and Hamiltonian mechanics, Hamilton-Jacobi theory, perturbation theory, non-linear mechanics (including, if time allows, the KAM theorem) and some rigid-body mechanics.
Solutions to Midterm
Solutions to final
There will be a midterm, a final and 8 or 9 problem sets.
For the later part of the course I will introduce some numerical work to be done on a computer. The students will be required to use Matlab . For those who are not familiar with computer techniques, I will hold a few introductory sessions in a computer classroom.
Getting started with Matlab
H. Goldstein, Classical Mechanics, Addison Wesley, 2002
Eugene J. Saletan and Alan H. Cromer, Theoretical mechanics, Wiley 1971
L. D. Landau and E. M. Lifshitz, Mechanics, Pergamon Press, 1976
V. I. Arnold, Mathematical methods of classical mechanics, Springer-Verlag, 1978
Jorge V. Jose and Eugene J. Saletan, Classical Dynamics : A Contemporary Approach, Cambridge 1998
E. Ott, Chaos in Dynamical Systems, Cambridge University Press, 1993