Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-6-1306-2907-6 |
Объём: | 68 страниц |
Масса: | 123 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an overdetermined system of first-order homogeneous linear partial differential equations. In modern geometric terms, the theorem gives necessary and sufficient conditions for the existence of a foliation by maximal integral manifolds each of whose tangent bundles are spanned by a given family of vector fields (satisfying an integrability condition) in much the same way as an integral curve may be assigned to a single vector field. The theorem is foundational in differential topology and calculus on manifolds.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.