Geometrical Properties of Vectors and Convectors
Author | : Joaquim M. Domingos |
Publisher | : World Scientific |
Total Pages | : 82 |
Release | : 2006 |
ISBN-10 | : 9789812700445 |
ISBN-13 | : 9812700447 |
Rating | : 4/5 (45 Downloads) |
Book excerpt: 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.