ENGLISH

Geometrical Properties of Vectors and Covectors: An Introductory Survey of Differentiable Manifolds, Tensors and Forms

By Joaquim M. Domingos

Book information

Publisher
World Scientific Publishing Company
Year
2006
ISBN
9789812700445, 9812700447
Open Library ID
OL22763921M
Language
english
Format
PDF
Filesize
982 kB (1005176 bytes)
Pages
82\82
Time added
2010-08-30 15:18:36

Description

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.

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