Hamiltonian Dynamics

Gaetano Vilasi (Univ Of Salerno, Italy)

$251.95 $201.60

Hardback

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English

World Scientific Publishing Co Pte Ltd
12 March 2001

Differential & Riemannian geometry; Analytic topology; Maths for scientists; Classical mechanics

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 provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity. As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.

By: Gaetano Vilasi (Univ Of Salerno Italy)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Dimensions: Height: 230mm, Width: 163mm, Spine: 29mm
Weight: 744g
ISBN: 9789810233082
ISBN 10: 9810233086
Pages: 456
Publication Date: 12 March 2001
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Unspecified

Part 1 Analytical mechanics: the Lagrangian coordinates; Hamiltonian systems; transformation theory; the integration methods. Part 2 Basic ideas of differential geometry: manifolds and tangent spaces; differential forms; integration theory; Lie groups and Lie algebras. Part 3 Geometry and physics: symplectic manifolds and Hamiltonian systems; the orbits method; classical electrodynamics. Part 4 Integrable field theories: ""KdV"" equation; general structures; meaning and existence of recursion operators; miscellanea; integrability of fermionic dynamics.

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Hamiltonian Dynamics

Gaetano Vilasi (Univ Of Salerno, Italy)

$251.95 $201.60

Hardback

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