Home Browse by Subject Bestsellers New Titles Editor's Choice New Reviews Textbooks
Search Book Series Study Guides Rights Inspection Copy Contact Us Join Our Mailing List
For Authors How to Order E-Catalogues

Browse all Subjects
Search Bookshop
New Titles
Editor's Choice
Bestsellers
Book Series
Textbooks
Journals
Join Our Mailing List
 
HAMILTONIAN DYNAMICS

by Gaetano Vilasi (University of Salerno, Italy)

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.


Contents:

  • Analytical Mechanics:
  • The Lagrangian Coordinates
  • Hamiltonian Systems
  • Transformation Theory
  • The Integration Methods
  • Basic Ideas of Differential Geometry:
  • Manifolds and Tangent Spaces
  • Differential Forms
  • Integration Theory
  • Lie Groups and Lie Algebras
  • Geometry and Physics:
  • Symplectic Manifolds and Hamiltonian Systems
  • The Orbits Method
  • Classical Electrodynamics
  • Integrable Field Theories:
  • KdV Equation
  • General Structures
  • Meaning and Existence of Recursion Operators
  • Miscellanea
  • Integrability of Fermionic Dynamics


Readership: Physicists and mathematicians.


"The book is clearly written with concise historical notes and a quite complete set of suggested readings and references ... it can be very useful both as a textbook in analytical mechanics and as a first introduction to Hamiltonian dynamics in infinite dimensions."

Mathematical Reviews




456pp Pub. date: Mar 2001
ISBN 978-981-02-3308-2
981-02-3308-6
US$79 / £59
Request for inspection copy



Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 9 May 2008