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Vector calculus Summary (1351 words) |
 | Vector analysis is the multi-dimensional analogue of single-variable calculus. |
| It states that the integral of the (normal component of the) curl of a vector field over a bounded surface is equal to the integral of the (tangential component of the) vector field along the boundary of the surface. |
| Vector calculus (also called vector analysis) is a field of mathematics concerned with multivariate real analysis of vectors in two or more dimensions. |
| Vector potential - Wikipedia, the free encyclopedia (274 words) |
| In vector calculus, a vector potential is a vector field whose curl is a given vector field. |
| This is analogous to a scalar potential, which is a scalar field whose negative gradient is a given vector field. |
| A generalization of this theorem is the Helmholtz decomposition which states that any vector field can be decomposed as a sum of a solenoidal vector field and an irrotational vector field. |
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