|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910451151303321 |
|
|
Autore |
Domingos Joaquim M |
|
|
Titolo |
Geometrical properties of vectors and convectors [[electronic resource] ] : an introductory survey of differentiable manifolds, tensors and forms / / Joaquim M. Domingos |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Hackensack, NJ, : World Scientific, c2006 |
|
|
|
|
|
|
|
ISBN |
|
1-281-92444-X |
9786611924447 |
981-277-275-8 |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (vii, 73 p. ) : ill. |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Vector analysis |
Manifolds (Mathematics) |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 69-70) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
"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." |
|
|
|
|
|
|
|