Information AboutVector Calculus |
| CATEGORIES ABOUT VECTOR CALCULUS | |
| vector calculusvector calculus | |
| multivariable calculus | |
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Vector calculus is a field of Mathematics concerned with multivariate Real Analysis of Vector s in two or more Dimension s. It consists of a suite of Formula s and problem solving techniques very useful for Engineering and Physics . It concerns Vector Field s, which associate a vector to every point in space, and Scalar Field s, which associate a Scalar to every point in space. For example, the temperature of a swimming pool is a scalar field: to each point we associate a scalar value of temperature. The water flow in the same pool is a vector field: to each point we associate a velocity vector. Three operations are important in vector calculus:
A fourth operation, the Laplacian , is combination of the divergence and gradient operations. Likewise, there are three important theorems related to these operators: Most of the analytic results are easily understood, in a more general form, using the machinery of Differential Geometry , of which vector calculus forms a subset. SEE ALSO
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