by Robert L. Dewar
Publisher: The Australian National University 2001
Number of pages: 109
In this course we will develop a more abstract viewpoint in which one thinks of the dynamics of a system described by an arbitrary number of generalized coordinates, but in which the dynamics can be nonetheless encapsulated in a single scalar function: the Lagrangian, named after the French mathematician Joseph Louis Lagrange (1736–1813), or the Hamiltonian, named after the Irish mathematician Sir William Rowan Hamilton (1805–1865).
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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 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.
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 Tony Wayne
This text discusses some of the principles involved in the design of a roller coaster. It is intended for the middle or high school teacher, and physics students. Many of the concepts can be applied to topics other than roller coasters.