Description

Book Synopsis
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.

Table of Contents
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.

Geometrical Properties Of Vectors And Covectors:

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    A Hardback by Joaquim Maria Domingos

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      View other formats and editions of Geometrical Properties Of Vectors And Covectors: by Joaquim Maria Domingos

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 11/10/2006
      ISBN13: 9789812700445, 978-9812700445
      ISBN10: 9812700447

      Description

      Book Synopsis
      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.

      Table of Contents
      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.

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