Problems and solutions in differential geometry, Lie series, differential forms, relativity and applications [electronic resource] / Willi-Hans Steeb.
By: Steeb, W.-H
.
Material type: 
Computer filePublisher: Singapore : World Scientific Publishing Co. Pte Ltd., ©2018Description: 1 online resource (296 p.) : ill.ISBN: 9789813230835.Subject(s): Geometry, Differential | Differential forms | Electronic booksDDC classification: 516.3/6 Online resources: Access to full text is restricted to subscribers. Summary: "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."-- Publisher's website.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Title from web page (viewed January 18, 2019).
Includes bibliographical references (p. 275-280) and index.
"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."-- Publisher's website.
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