Geometrical Theory of Dynamical Systems and Fluid Flows (Advanced Series in Nonlinear Dynamics) - Couverture souple

Tsutomu, Kambe

 
9789814282246: Geometrical Theory of Dynamical Systems and Fluid Flows (Advanced Series in Nonlinear Dynamics)
Couverture souple
ISBN 10 : 9814282243 ISBN 13 : 9789814282246
Editeur : World Scientific Publishing Company, 2009

Synopsis

This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems. In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.

Revue de presse

The book is very interesting and offers a broad spectrum of concepts, oscillating among pure mathematics, theoretical physics and natural sciences ... It can be recommended to graduate and PhD students, as well as to all researchers seeking solutions to their problems by means of dynamical systems theory. --Pure and Applied Geophysics

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Company
Date d'édition
2009
Langue
anglais
ISBN 10 
9814282243
ISBN 13 
9789814282246
Reliure
Broché
Numéro d'édition
2
Nombre de pages
444
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9789812388063: Geometrical theory of dynamical systems and fluid flows

Edition présentée

ISBN 10 :  9812388060 ISBN 13 :  9789812388063
Editeur : Wspc, 2004
Couverture souple