Problems and solutions in differential geometry, Lie series, differential forms, relativity, and applications /
Steeb, W.-H.
Problems and solutions in differential geometry, Lie series, differential forms, relativity, and applications / Willi-Hans Steeb, University of Johannesburg, South Africa. - New Jersey : World Scientific, [2018] - xi, 284 pages ; illustrations ; 24 cm
Readership: Graduate students, lecturers and researchers in differential geometry and its applications.
Includes bibliographical references (pages 275-280) and index.
Preface -- Notation -- Curves, surfaces and manifolds -- Vector fields, lie series and lie algebras -- Metric tensor fields -- Differential forms and applications -- Lie derivative and applications -- Bibliography -- Index.
A collection of problems and solutions in differential geometry, with applications. "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."--Back cover.
9789813230828 (hardcover : alk. paper) 9813230827 (hardcover : alk. paper) 9789813232969 (pbk. : alk. paper) 981323296X (pbk. : alk. paper)
2017047297
Geometry, Differential
Differential forms
QA641 / St3 2018
Problems and solutions in differential geometry, Lie series, differential forms, relativity, and applications / Willi-Hans Steeb, University of Johannesburg, South Africa. - New Jersey : World Scientific, [2018] - xi, 284 pages ; illustrations ; 24 cm
Readership: Graduate students, lecturers and researchers in differential geometry and its applications.
Includes bibliographical references (pages 275-280) and index.
Preface -- Notation -- Curves, surfaces and manifolds -- Vector fields, lie series and lie algebras -- Metric tensor fields -- Differential forms and applications -- Lie derivative and applications -- Bibliography -- Index.
A collection of problems and solutions in differential geometry, with applications. "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."--Back cover.
9789813230828 (hardcover : alk. paper) 9813230827 (hardcover : alk. paper) 9789813232969 (pbk. : alk. paper) 981323296X (pbk. : alk. paper)
2017047297
Geometry, Differential
Differential forms
QA641 / St3 2018