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 Andrew D. Lewis - Queen's University
These notes deal primarily with the subject of Lagrangian mechanics. The control theory we discuss here is quite elementary, it will serve to give a flavour of the subject so that people can see if the area is one which they'd like to pursue.
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.
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.