Date: Mon Aug 28 2000 - 01:13:06 PDT
"We will study the fundamental principles of classical mechanics, with a
emphasis on the qualitative structure of phase space. We will use
to formulate the principles of mechanics precisely. Expression in a
framework encourages clear thinking and active exploration.
We will consider the following topics: The Lagrangian formulation. Action,
variational principles, and equations of motion. Hamilton's principle.
quantities. Rigid bodies and tops. Hamiltonian formulation and canonical
Surfaces of section. Chaos. Canonical transformations and generating
theorem and Poincar
é integral invariants. Poincaré-Birkhoff and KAM
Invariant curves and cantori. Nonlinear resonances. Resonance overlap and
transition to chaos. Properties of chaotic motion.
Ideas will be illustrated and supported with physical examples. We will
extensive use of computing to capture methods, for simulation, and for
"Structure and Interpretation of Classical Mechanics" - a draft version is
I wish I had this kinda book with me when I did those olde classical mech
courses in the early eighties... And, I thought everything that Jerry had
to the world was over with SICP! What a relief! :-)
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