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 A. Nony Mous - Archive.org
Contents: Generalized Coordinate Systems; Differential Equations; One Dimensional Motion; Motion of a Particle in Two and Three Dimensions; Accelerated Frames of Reference; Systems of Interacting Particles; The Special Theory of Relativity; etc.
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.
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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.
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