Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (eBook, PDF)

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (eBook, PDF)

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This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, the basics of the symplectic group, an introduction to reduction, applications of Poincaré's continuation to periodic solutions, the use of norma...

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