Lectures on Classical Mechanics
by John C. Baez
Publisher: University of California 2005
Number of pages: 76
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.
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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.
by E.R. Hedrick, O.D. Kellogg - Ginn and company
It has been the practice at the University of Missouri to follow the course in sophomore calculus with several weeks in applications to mechanics, a subject rich in the kind of material desired. This book is a formulation of the work there attempted.
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 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.