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

Steeb, Willi-Hans

ISBN 10: 9813230827 / ISBN 13: 9789813230828

Edité par World Scientific Publishing Co Pte Ltd, 2017

N° de réf. du vendeur 30456611-n

Synopsis :

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.

Présentation de l'éditeur:

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.

Détails bibliographiques

Titre : Problems and Solutions in Differential ...
Éditeur : World Scientific Publishing Co Pte Ltd
Date d'édition : 2017
Reliure : Couverture rigide
Etat : New