Notes on Analytical Mechanics
by Ingemar Bengtsson
Publisher: Stockholms universitet, Fysikum 2018
Number of pages: 143
These are lecture notes for an undergraduate course in analytical mechanics. From the table of contents: The Best of all Possible Worlds; Lagrangian mechanics; The central force two-body problem; Rotation and rigid bodies; The Hamiltonian formulation; Integrable and chaotic motion.
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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 Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the third-year undergraduate level. The table of contents: Newtonian mechanics; Lagrangian mechanics; Hamiltonian mechanics; Term project: Motion around a black hole.
by Robert L. Dewar - The Australian National University
We develop a more abstract viewpoint in which one thinks of the dynamics of a system described by a number of generalized coordinates, but in which the dynamics can be encapsulated in a single scalar function: the Lagrangian or the Hamiltonian.
by Zdenek Martinec - Charles University in Prague
This text is suitable for a two-semester course on Continuum Mechanics. It is based on notes from undergraduate courses. The material is intended for use by undergraduate students of physics with a year or more of college calculus behind them.