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Multivariable calculus - Wikipedia, the free encyclopedia (292 words) |
 | Multivariable calculus is the extension of calculus in one variable to calculus in several variables: the functions which are differentiated and integrated involve several variables rather than one variable. |
| The more serious concept of differentiation in multivariable calculus requires the tools of linear algebra: the derivative of a function of several variables is understood to be a certain linear transformation which varies from point to point in the domain of the function. |
| The fundamental theorem of calculus extends to the setting of multivariable calculus, first as particular theorems in vector calculus attributed to Gauss, Green, and Stokes and then as the general Stokes theorem which applies to integration of differential forms on manifolds. |
| Multivariable calculus - definition of Multivariable calculus in Encyclopedia (180 words) |
| Multivariate calculus is a means of analyzing deterministic systems with multiple degrees of freedom. |
| Typical operations in multivariate calculus are partial differentiation and integration over areas or volumes. |
| Multivariate calculus is used in many fields of natural and social science and engineering to model and study high-dimensional systems that exhibit deterministic behavior. |
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