ENGLISH

Geometrical properties of vectors and covectors: introductory survey

By Joaquim M. Domingos

Book information

Publisher
World Scientific Publishing Company
Year
2006
ISBN
9812700447, 9789812700445, 9789812772756
Open Library ID
OL22763921M
Language
english
Format
DJVU
Filesize
390 kB (399441 bytes)
Pages
82\82
Library
kolxoz
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

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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