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

Steeb, Willi-hans

Couverture rigide

ISBN 10 : 9813230827 ISBN 13 : 9789813230828

Editeur : World Scientific Publishing Co Pte Ltd, 2017

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.

A propos du livre

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.

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

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 9813230827
• ISBN 13: 9789813230828
• Reliure: Relié
• Nombre de pages: 296
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible