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Nonfiction Introduction to Symplectic and Hamiltonian Geometry

Posted on 2010-04-05




Name:Nonfiction Introduction to Symplectic and Hamiltonian Geometry
Language:English
Pages:158
File size:5.1 Mb
  

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This text covers foundations of symplectic geometry in a modern language. We start by describing symplectic manifolds and their transformations, and by explaining connections to topology and other geometries. Next we study hamiltonian fields, hamiltonian actions and some of their practical applications in the context of mechanics and dynamical systems. We assume previous knowledge of the geometry of smooth manifolds, though the main required facts are collected in appendices.

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