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Hamiltonian dynamics [electronic resource] / Gaetano Vilasi.

By: Vilasi, Gaetano.
Material type: TextTextPublisher: Singapore ; River Edge, N.J. : World Scientific, c2001Description: 1 online resource (xv, 440 p.).ISBN: 9812386319 (electronic bk.); 9789812386311 (electronic bk.).Subject(s): Hamiltonian systems | Geometry, Differential | Field theory (Physics) | Mathematical physics | Syst�emes hamiltoniens | G�eom�etrie diff�erentielle | Champs, Th�eorie des (Physique) | Physique math�ematique | MATHEMATICS -- TopologyGenre/Form: Electronic books.Additional physical formats: Print version:: Hamiltonian dynamics.DDC classification: 514/.74 Online resources: EBSCOhost
Contents:
Cover -- Contents -- Preface -- Introduction -- I Analytical Mechanics -- 1 The Lagrangian Coordinates -- 1.1 A Primer for Various Formulations of Dynamics -- 1.2 Constraints -- 1.3 Degrees of Freedom and Lagrangian Coordinates -- 1.4 The Calculus of Variations and the Lagrange Equations -- 1.5 Remarks on Lagrange's Equations -- 2 Hamiltonian Systems -- 2.1 The Legendre Transformation -- 2.2 The Hamilton Equations -- 2.3 The Poisson Bracket and the Jacobi-Poisson Theorem -- 2.4 A More Compact Form of The Hamiltonian Dynamics -- 2.5 The Variational Principle for the Hamilton Equations -- 3 Transformation Theory -- 3.1 Canonical, Completely Canonical and Symplectic Transformations -- 3.2 A New Characterization of Completely Canonical Transformations -- 3.3 New Characterization of Sympletic Transformations -- 4 The Integration Methods -- 4.1 Integrals Invariants of a Differential System -- 4.2 A Primer on the Lie Derivative -- 4.3 The Kepler Dynamics.
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Includes bibliographical references (p. 427-436) and index.

Cover -- Contents -- Preface -- Introduction -- I Analytical Mechanics -- 1 The Lagrangian Coordinates -- 1.1 A Primer for Various Formulations of Dynamics -- 1.2 Constraints -- 1.3 Degrees of Freedom and Lagrangian Coordinates -- 1.4 The Calculus of Variations and the Lagrange Equations -- 1.5 Remarks on Lagrange's Equations -- 2 Hamiltonian Systems -- 2.1 The Legendre Transformation -- 2.2 The Hamilton Equations -- 2.3 The Poisson Bracket and the Jacobi-Poisson Theorem -- 2.4 A More Compact Form of The Hamiltonian Dynamics -- 2.5 The Variational Principle for the Hamilton Equations -- 3 Transformation Theory -- 3.1 Canonical, Completely Canonical and Symplectic Transformations -- 3.2 A New Characterization of Completely Canonical Transformations -- 3.3 New Characterization of Sympletic Transformations -- 4 The Integration Methods -- 4.1 Integrals Invariants of a Differential System -- 4.2 A Primer on the Lie Derivative -- 4.3 The Kepler Dynamics.

Description based on print version record.

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Hamiltonian dynamics by Vilasi, Gaetano. ©2001
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