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Calcul vectoriel Définition
Vector calculus or vector analysis is the use of calculus (limits, derivatives, and integrals) with two or more independent variables, or two or more dependent variables. This can be thought of as the calculus of three dimensional figures. Vector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space R3. The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which includes vector calculus as well as partial differentiation and multiple integration. Common elements of multivariable calculus include parametric equations, vectors, partial derivatives, multiple integrals, line integrals, and surface integrals. Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics and engineering, especially in the description of electromagnetic fields, gravitational fields and fluid flow.
Aperçu
J. Willard Gibbs et Oliver Heaviside ont été développés à partir de Vector Calcul Dans la forme classique à l'aide de produits croisés, le calcul de vecteur ne général est pas à la hausse des dimensions, tandis que l'approche algébérée géométrique, qui utilise des produits extérieurs généralistes.
Définitions connexes
Sources
“Vector Calculus.” Wikipedia, Wikimedia Foundation, 19 Apr. 2020, en.wikipedia.org/wiki/Vector_calculus.