The website for this course (12.620J Classical Mechanics: A Computational Approach, Fall 2008) has been made available by the Massachusetts Institute of Technology Department of Earth, Atmospheric, and Planetary Sciences as part of the OpenCourseWare initiative. The course covers: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and Poincaré integral invariants; Poincaré-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overlap and transition to chaos; properties of chaotic motion. The website provides an online version of the textbook for the course, Structure and Interpretation of Classical Mechanics, written by Professors Gerald Jay Sussman and Jack Wisdom, and problem sets.
http://ocw.mit.edu/OcwWeb/Earth--Atmospheric--and-Planetary-Sciences/12-620JFall-2008/CourseHome/index.htm
Copyright 2006-2009
Friday, February 5, 2010
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