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.
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This volume contains much of the basic theory of mechanics and should prove to be a useful foundation for further, as well as more specialized topics. As the name of the book implies, a consistent theme running through the book is that of symmetry.
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