Anzeige
Erschienen in:
1988 | OriginalPaper | Buchkapitel
Differential Forms
verfasst von : Ralph Abraham, Jerrold E. Marsden, Tudor Ratiu
Erschienen in: Manifolds, Tensor Analysis, and Applications
Verlag: Springer New York
Enthalten in: Professional Book Archive
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Differential k-forms are tensor fields of type (0, k) that are completely antisymmetric. Such tensor fields arise in many applications in physics, engineering, and mathematics. A hint at why this is so is the fact that the classical operations of grad, div, and curl and the theorems of Green, Gauss, and Stokes can all be expressed concisely in terms of differential forms. However, the examples of Hamiltonian mechanics and Maxwell’s equations (see Chapter 8) show that their applicability goes well beyond this.