Lagrangian and Hamiltonian Geometries: Applications to Analytical Mechanics
by Radu Miron
Publisher: arXiv 2011
Number of pages: 266
The aim of the present text is twofold: to provide a compendium of Lagrangian and Hamiltonian geometries and to introduce and investigate new analytical Mechanics: Finslerian, Lagrangian and Hamiltonian. The fundamental equations (or evolution equations) of these Mechanics are derived from the variational calculus...
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by Alain J. Brizard - Saint Michael's College, Colchester
These lecture notes provide a self-consistent introduction to Classical Mechanics. They are normally used for an intermediate course in Classical Mechanics by inserting a more general and rigorous introduction to Lagrangian and Hamiltonian methods.
by Simon J.A. Malham - Heriot-Watt University
These notes are intended as an elementary introduction into the ideas and the basic prescription of Lagrangian and Hamiltonian mechanics. The only physical principles we require the reader to know are Newton's three laws ...
by Huseyin Canbolat - InTech
Lagrangian mechanics is widely used in several areas of research and technology. It is simply a reformulation of the classical mechanics by the mathematician Joseph-Louis Lagrange in 1788. Since then, this approach has been applied to various fields.
by Alfonso Sorrentino - arXiv
In these lecture notes we shall try to to provide a brief, but comprehensive introduction to Mather's theory for Lagrangian systems and its subsequent developments by Ricardo Mane and Albert Fathi. We shall consider only the autonomous case.