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 |
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Print version record |
Subject |
Vector analysis.
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Manifolds (Mathematics)
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MATHEMATICS -- Vector Analysis.
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Manifolds (Mathematics)
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Vector analysis
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Form |
Electronic book
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LC no. |
2007272630 |
ISBN |
9789812772756 |
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9812772758 |
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9789812700445 |
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9812700447 |
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128192444X |
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9781281924445 |
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9786611924447 |
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6611924442 |
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