Geometrical Properties Of Vectors And Covectors: An Introductory Survey Of Differentiable Manifolds, Tensors And Forms
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A01=Joaquim Maria Domingos
Author_Joaquim Maria Domingos
Category=PBK
Category=PBM
Category=PBMP
Category=PH
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Geometry and Topology
Mathematical Physics
Theoretical Physics
Product details
- ISBN 9789812700445
- Publication Date: 11 Oct 2006
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
