Geometrical properties of vectors and convectors [[electronic resource] ] : an introductory survey of differentiable manifolds, tensors and forms / / Joaquim M. Domingos

• Autore: Domingos Joaquim M
• Pubblicazione: Hackensack, NJ, : World Scientific, c2006
• Descrizione fisica: 1 online resource (vii, 73 p. ) : ill.
• Disciplina: 515/.63
• Soggetto topico: Vector analysis; Manifolds (Mathematics)
• Soggetto genere / forma: Electronic books.
• 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."
• Titolo autorizzato: Geometrical properties of vectors and convectors
• ISBN: 1-281-92444-X; 9786611924447; 981-277-275-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910451151303321
• Lo trovi qui: Univ. Federico II