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 Howard Georgi - Harvard College
For students with good preparation in physics and mathematics at the level of the advanced placement curriculum. Topics include an introduction to Lagrangian mechanics, Noether's theorem, special relativity, collisions and scattering, etc.
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This little book is of a strictly elementary character, and is intended for the use of students whose knowledge of Geometry and Algebra is not presumed to extend beyond the first two Books of Euclid and the solution of simple Quadratic Equations.
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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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This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. Applications presented cover a wide variety of topics ...