Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications - Couverture souple

Steeb, Willi-Hans

 
9789813232969: Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications
Couverture souple
ISBN 10 : 981323296X ISBN 13 : 9789813232969
Editeur : WSPC, 2017

Synopsis

"The book has plenty of stimulating material and is very suitable for deepening many concepts of differential geometry and relativity in a hands-on manner." Michael M Tung Universitat Politécnica de Valencia This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer–Cartan form, and the Lie derivative are covered. Readers will find useful applications to special and general relativity, Yang–Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.

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

Présentation de l'éditeur

"The book has plenty of stimulating material and is very suitable for deepening many concepts of differential geometry and relativity in a hands-on manner." Michael M Tung Universitat Politécnica de Valencia This volume presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer–Cartan form, and the Lie derivative are covered. Readers will find useful applications to special and general relativity, Yang–Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. The volume will not only benefit students in mathematics, applied mathematics and theoretical physics, but also researchers in the field of differential geometry.

Revue de presse

The book has plenty of stimulating material and is very suitable for deepening many concepts of differential geometry and relativity in a hands-on manner. --Michael M Tung, Universitat Politécnica de Valencia

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

Éditeur
WSPC
Date d'édition
2017
Langue
anglais
ISBN 10 
981323296X
ISBN 13 
9789813232969
Reliure
Broché
Nombre de pages
296
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789813230828: Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications

Edition présentée

ISBN 10 :  9813230827 ISBN 13 :  9789813230828
Editeur : World Scientific Publishing Co P..., 2017
Couverture rigide