Hamiltonian dynamics / Gaetano Vilasi.

This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it...

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Bibliographic Details
Main Author:	Vilasi, Gaetano
Format:	eBook
Language:	English
Published:	Singapore ; River Edge, N.J. : World Scientific, ©2001.
Subjects:	Hamiltonian systems. Geometry, Differential. Field theory (Physics) Mathematical physics. MATHEMATICS > Topology. Systemes hamiltoniens. Geometrie differentielle. Champs, Theorie des (Physique) Physique mathematique. Geometry, Differential Hamiltonian systems Mathematical physics
Online Access:	Click for online access

Table of 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.

Hamiltonian dynamics / Gaetano Vilasi.

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