Differential Geometry and Relativity Theories vol. 1: Tangent vectors, derivatives, paths, 1-forms, vector fields - Couverture souple

Carf�, David

9783330028852: Differential Geometry and Relativity Theories vol. 1: Tangent vectors, derivatives, paths, 1-forms, vector fields

Couverture souple

ISBN 10 : 3330028858 ISBN 13 : 9783330028852

Editeur : LAP LAMBERT Academic Publishing, 2017

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In this book, we focus on some aspects of smooth manifolds, which appear of fundamental importance for the developments of differential geometry and its applications to Theoretical Physics, Special and General Relativity, Economics and Finance. In particular we touch basic topics, for instance definition of tangent vectors, change of coordinate system in the definition of tangent vectors, action of tangent vectors on coordinate systems, structure of tangent spaces, geometric interpretation of tangent vectors, canonical tangent vectors determined by local charts, tangent frames determined by local charts, change of local frames, tangent vectors and contravariant vectors, covariant vectors, the gradient of a real function, invariant scalars, tangent applications, local Jacobian matrices, basic properties of the tangent map, chain rule, diffeomorphisms and derivatives, transformation of tangent bases under derivatives, paths on a manifold, vector derivative of a path with respect to a re-parametrization, tangent derivative versus calculus derivative, vector derivative of a path in local coordinates, existence of a path with a given initial tangent vector and other topics.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: LAP LAMBERT Academic Publishing
Date d'�dition: 2017
Langue: anglais
ISBN 10: 3330028858
ISBN 13: 9783330028852
Reliure: Broch�
Nombre de pages: 172
Coordonn�es du fabricant: non disponible
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Differential Geometry and Relativity Theories vol. 1

David Carf�

Edit� par LAP LAMBERT Academic Publishing Jan 2017, 2017

ISBN 10 : 3330028858 ISBN 13 : 9783330028852

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book, we focus on some aspects of smooth manifolds, which appear of fundamental importance for the developments of differential geometry and its applications to Theoretical Physics, Special and General Relativity, Economics and Finance. In particular we touch basic topics, for instance definition of tangent vectors, change of coordinate system in the definition of tangent vectors, action of tangent vectors on coordinate systems, structure of tangent spaces, geometric interpretation of tangent vectors, canonical tangent vectors determined by local charts, tangent frames determined by local charts, change of local frames, tangent vectors and contravariant vectors, covariant vectors, the gradient of a real function, invariant scalars, tangent applications, local Jacobian matrices, basic properties of the tangent map, chain rule, diffeomorphisms and derivatives, transformation of tangent bases under derivatives, paths on a manifold, vector derivative of a path with respect to a re-parametrization, tangent derivative versus calculus derivative, vector derivative of a path in local coordinates, existence of a path with a given initial tangent vector and other topics. 172 pp. Englisch. N� de r�f. du vendeur 9783330028852

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Differential Geometry and Relativity Theories vol. 1

David Carf�

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ISBN 10 : 3330028858 ISBN 13 : 9783330028852

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Differential Geometry and Relativity Theories vol. 1

David Carf�

Edit� par LAP LAMBERT Academic Publishing Jan 2017, 2017

ISBN 10 : 3330028858 ISBN 13 : 9783330028852

Neuf Taschenbuch

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this book, we focus on some aspects of smooth manifolds, which appear of fundamental importance for the developments of differential geometry and its applications to Theoretical Physics, Special and General Relativity, Economics and Finance. In particular we touch basic topics, for instance definition of tangent vectors, change of coordinate system in the definition of tangent vectors, action of tangent vectors on coordinate systems, structure of tangent spaces, geometric interpretation of tangent vectors, canonical tangent vectors determined by local charts, tangent frames determined by local charts, change of local frames, tangent vectors and contravariant vectors, covariant vectors, the gradient of a real function, invariant scalars, tangent applications, local Jacobian matrices, basic properties of the tangent map, chain rule, diffeomorphisms and derivatives, transformation of tangent bases under derivatives, paths on a manifold, vector derivative of a path with respect to a re-parametrization, tangent derivative versus calculus derivative, vector derivative of a path in local coordinates, existence of a path with a given initial tangent vector and other topics.VDM Verlag, Dudweiler Landstra�e 99, 66123 Saarbr�cken 172 pp. Englisch. N� de r�f. du vendeur 9783330028852

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Differential Geometry and Relativity Theories vol. 1 | Tangent vectors, derivatives, paths, 1-forms, vector fields

David Carf�

Edit� par LAP LAMBERT Academic Publishing, 2017

ISBN 10 : 3330028858 ISBN 13 : 9783330028852

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Differential Geometry and Relativity Theories vol. 1 : Tangent vectors, derivatives, paths, 1-forms, vector fields

David Carf�

Edit� par LAP LAMBERT Academic Publishing, 2017

ISBN 10 : 3330028858 ISBN 13 : 9783330028852

Neuf Taschenbuch

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this book, we focus on some aspects of smooth manifolds, which appear of fundamental importance for the developments of differential geometry and its applications to Theoretical Physics, Special and General Relativity, Economics and Finance. In particular we touch basic topics, for instance definition of tangent vectors, change of coordinate system in the definition of tangent vectors, action of tangent vectors on coordinate systems, structure of tangent spaces, geometric interpretation of tangent vectors, canonical tangent vectors determined by local charts, tangent frames determined by local charts, change of local frames, tangent vectors and contravariant vectors, covariant vectors, the gradient of a real function, invariant scalars, tangent applications, local Jacobian matrices, basic properties of the tangent map, chain rule, diffeomorphisms and derivatives, transformation of tangent bases under derivatives, paths on a manifold, vector derivative of a path with respect to a re-parametrization, tangent derivative versus calculus derivative, vector derivative of a path in local coordinates, existence of a path with a given initial tangent vector and other topics. N� de r�f. du vendeur 9783330028852

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