Geometrical Properties Of Vectors And Covectors: An Introductory Survey Of Differentiable Manifolds, Tensors And Forms
Seiten
2006
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-044-5 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-270-044-5 (ISBN)
Provides a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, and more. This book prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.
This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.
This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.
Topological Spaces; Metric Tensor; Differentiable Manifolds: Basic Definitions, Tangent Vectors and Spaces, Parallelization; Metric Dual; Tensors; r-Forms; Orientation of a Manifold; Hodge Star Operator; Wedge Product and Cross Product.
| Erscheint lt. Verlag | 11.10.2006 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 981-270-044-7 / 9812700447 |
| ISBN-13 | 978-981-270-044-5 / 9789812700445 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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