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Book Cover
E-book
Author Domingos, Joaquim M.

Title Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos
Published Hackensack, NJ : World Scientific, ©2006

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Description 1 online resource (vii, 73 pages) : illustrations
Contents 1. Topological spaces -- 2. Metric tensor -- 3. Differentiable manifolds. 3.1 Basic definitions. 3.2. Tangent vectors and spaces. 3.3. Parallelization -- 4. Metric dual -- 5. Tensors -- 6. r-Forms -- 7. Orientation of a manifold -- 8. Hodge star operator -- 9. Wedge product and cross product
Summary 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 Universi
Bibliography Includes bibliographical references (pages 69-70) and index
Notes English
Print version record
Subject Vector analysis.
Manifolds (Mathematics)
MATHEMATICS -- Vector Analysis.
Manifolds (Mathematics)
Vector analysis
Form Electronic book
LC no. 2007272630
ISBN 9789812772756
9812772758
9789812700445
9812700447
128192444X
9781281924445
9786611924447
6611924442