Geometrical properties of vectors and convectors :: an introductory survey of differentiable manifolds, tensors and forms /
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 un...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ :
World Scientific,
©2006.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (vii, 73 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 69-70) and index. |
| ISBN: | 9789812772756 9812772758 9789812700445 9812700447 128192444X 9781281924445 9786611924447 6611924442 |
Internformat
MARC
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| 245 | 1 | 0 | |a Geometrical properties of vectors and convectors : |b an introductory survey of differentiable manifolds, tensors and forms / |c Joaquim M. Domingos. |
| 260 | |a Hackensack, NJ : |b World Scientific, |c ©2006. | ||
| 300 | |a 1 online resource (vii, 73 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 69-70) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Vector analysis. |0 http://id.loc.gov/authorities/subjects/sh85142449 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85080549 | |
| 650 | 6 | |a Analyse vectorielle. | |
| 650 | 6 | |a Variétés (Mathématiques) | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn614464290 |
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| _version_ | 1816881719575314432 |
| adam_text | |
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| author | Domingos, Joaquim M. |
| author_GND | http://id.loc.gov/authorities/names/n2007026042 |
| author_facet | Domingos, Joaquim M. |
| author_role | |
| author_sort | Domingos, Joaquim M. |
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| collection | ZDB-4-EBA |
| 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. |
| ctrlnum | (OCoLC)614464290 |
| dewey-full | 515/.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.63 |
| dewey-search | 515/.63 |
| dewey-sort | 3515 263 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn614464290 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:11Z |
| institution | BVB |
| isbn | 9789812772756 9812772758 9789812700445 9812700447 128192444X 9781281924445 9786611924447 6611924442 |
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| publisher | World Scientific, |
| record_format | marc |
| spelling | Domingos, Joaquim M. http://id.loc.gov/authorities/names/n2007026042 Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos. Hackensack, NJ : World Scientific, ©2006. 1 online resource (vii, 73 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references (pages 69-70) and index. Print version record. 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. 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. English. Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Analyse vectorielle. Variétés (Mathématiques) MATHEMATICS Vector Analysis. bisacsh Manifolds (Mathematics) fast Vector analysis fast has work: Geometrical properties of vectors and covectors (Text) https://id.oclc.org/worldcat/entity/E39PCGXkD9yY8PCR9tPGDcBkjC https://id.oclc.org/worldcat/ontology/hasWork Print version: Domingos, Joaquim M. Geometrical properties of vectors and convectors. Hackensack, NJ : World Scientific, ©2006 (DLC) 2007272630 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210744 Volltext |
| spellingShingle | Domingos, Joaquim M. Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / 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. Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Analyse vectorielle. Variétés (Mathématiques) MATHEMATICS Vector Analysis. bisacsh Manifolds (Mathematics) fast Vector analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85142449 http://id.loc.gov/authorities/subjects/sh85080549 |
| title | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / |
| title_auth | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / |
| title_exact_search | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / |
| title_full | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos. |
| title_fullStr | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos. |
| title_full_unstemmed | Geometrical properties of vectors and convectors : an introductory survey of differentiable manifolds, tensors and forms / Joaquim M. Domingos. |
| title_short | Geometrical properties of vectors and convectors : |
| title_sort | geometrical properties of vectors and convectors an introductory survey of differentiable manifolds tensors and forms |
| title_sub | an introductory survey of differentiable manifolds, tensors and forms / |
| topic | Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Manifolds (Mathematics) http://id.loc.gov/authorities/subjects/sh85080549 Analyse vectorielle. Variétés (Mathématiques) MATHEMATICS Vector Analysis. bisacsh Manifolds (Mathematics) fast Vector analysis fast |
| topic_facet | Vector analysis. Manifolds (Mathematics) Analyse vectorielle. Variétés (Mathématiques) MATHEMATICS Vector Analysis. Vector analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210744 |
| work_keys_str_mv | AT domingosjoaquimm geometricalpropertiesofvectorsandconvectorsanintroductorysurveyofdifferentiablemanifoldstensorsandforms |