by Joel A. Shapiro
Publisher: Rutgers 2009
Number of pages: 270
This is a textbook for an advanced course in classical mechanics. From the table of contents: Particle Kinematics; Lagrange's and Hamilton's Equations; Two Body Central Forces; Rigid Body Motion; Small Oscillations; Hamilton's Equations; Perturbation Theory; Field Theory.
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by Ralph Abraham, Jerrold E. Marsden - Addison-Wesley
The advanced book on mechanics for mathematicians, physicists, and engineers interested in geometrical methods in mechanics. The basic results in manifold theory are included, as well as some key facts from point set topology and Lie group theory.
by John C. Baez - University of California
These are course notes for a mathematics graduate course on classical mechanics. The author started with the Lagrangian approach, with a heavy emphasis on action principles, and derived the Hamiltonian approach from that.
by Ingemar Bengtsson - Stockholms universitet, Fysikum
These are lecture notes for an undergraduate course in analytical mechanics. From the table of contents: Lagrangian mechanics; The central force two-body problem; Rotation and rigid bodies; The Hamiltonian formulation; Integrable and chaotic motion.
by Paul Lammert
We will study some famous and amusing problems. We will recast Newton's mechanics in languages (Lagrangian and Hamiltonian) which are not only practical for many problems but allow the methods of mechanics to be extended into every corner of physics.