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 Gerald Jay Sussman, Jack Wisdom - The MIT Press
The book emphasizes the development of general tools to support the analysis of nonlinear Hamiltonian systems. Explorations of transitions to chaos, nonlinear resonances, and resonance overlap to help the student to develop tools for understanding.
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 Janusz Krodkiewski
The purpose of this text is to provide the students with the theoretical background and engineering applications of the three dimensional mechanics of a rigid body. Covered are three-dimensional kinematics and kinetics of particles and rigid bodies.
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.