Analytical Mechanics and Integrable Systems

  • Bruno Cordani
Part of the Progress in Mathematical Physics book series (PMP, volume 64)


Analytical mechanics is the basic tool we will utilize through the whole book. The aim of this chapter is to succinctly introduce and define some basic concepts, such as Hamilton equations, symplectic (i.e., canonical) transformations, symmetry and reduction, integrable systems, and action-angle variables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie groups, which are the natural language of analytical mechanics.


Analytical Mechanics Poisson Bracket Symplectic Manifold Poisson Structure Symplectic Structure 
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Copyright information

© Springer Science+Business Media, New York 2013

Authors and Affiliations

  1. 1.MilanoItaly

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