Top- Dimensional Form
Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
High Quality Content by WIKIPEDIA articles! In differential topology, a top-dimensional form is a differential form whose degree is the same as the dimension of the manifold on which it is defined. A differential form of degree k, or (differential) k-form, on a smooth manifold M is a smooth section of the kth exterior power of the cotangent bundle of M. The set of all k-forms on M is a vector space commonly denoted k(M). Differential forms provide a better definition for integrands in calculus, such as (x) dx (a "1-form") or (x, y, z) dx dy dz (a "3-form"), but their uses extend far beyond elementary calculus. In fact, the set of all forms on M (denoted (M)) is an algebra, so some (but not all) higher dimensional forms can be obtained...
ISBN: 978-6-1312-5343-0
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Книга по требованию
Дата выхода: июль 2011