Differential Geometry and Relativity Theories vol. 1 : Tangent vectors, derivatives, paths, 1-forms, vector fields
Language: English
Published by LAP LAMBERT Academic Publishing, 2017
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 56.58
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Add to basketItem description from seller
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.…
Seller Inventory # 9783330028852
- Title
- Differential Geometry and Relativity Theories vol. 1 : Tangent vectors, derivatives, paths, 1-forms, vector fields
- Author
- David Carfì
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2017
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3330028858
- ISBN 13
- 9783330028852
- Item weight
- 274 grams
- Dimensions
- 220x150x11 mm
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