Hamiltonian Structures and Generating Families

This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way. From the re...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Benenti, Sergio (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Universitext,
Subjects:
Geometry, Differential.
Mathematical physics.
System theory.
Control theory.
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential Geometry.
Mathematical Physics.
Systems Theory, Control .
Global Analysis and Analysis on Manifolds.
Online Access:Texto Completo
Table of Contents:
  • Preface.- Basic Notions of Calculus on Manifolds.- Relations.- Symplectic Relations on Symplectic Manifolds.- Symplectic Relations on Cotangent Bundles.- Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.- Hamiltonian Optics in Euclidean Spaces.- Control of Static Systems.- Supplementary Topics.- Global Hamilton Principal Functions on S2 and H2
  • References
  • Index.

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