Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

Presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it p...

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Bibliographic Details
Main Author Muhlich, Uwe
Format eBook Book
LanguageEnglish
Published Cham Springer Nature 2017
Springer
Springer International Publishing AG
Springer International Publishing
Edition1
SeriesSolid Mechanics and Its Applications
Subjects
Calculus of tensors
Classical and Continuum Physics
Classical mechanics Solid mechanics
Engineering
Manifolds (Mathematics)
Mathematical Applications in the Physical Sciences
Mathematical Methods in Physics
Mathematical physics
Solid Mechanics
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ISBN9783319562643
3319562649
9783319562636
3319562630
ISSN0925-0042
2214-7764
DOI10.1007/978-3-319-56264-3

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Summary:Presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concepts in physics.
Bibliography:Includes bibliographical references and index
ISBN:9783319562643
3319562649
9783319562636
3319562630
ISSN:0925-0042
2214-7764
DOI:10.1007/978-3-319-56264-3