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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-04-21 and was most recently seen on 2026-04-21.
In mathematics, calculus on Euclidean space is a generalization of calculus of functions in one or several variables to calculus of functions on Euclidean space as well as a finite-dimensional real vector space. This calculus is also known as advanced calculus, especially in the United States. It is similar to multivariable calculus but is somewhat more sophisticated in that it uses linear algebra more extensively. It also covers some concepts from differential geometry such as differential forms and Stokes' theorem. This extensive use of linear algebra also allows a natural generalization of multivariable calculus to calculus on Banach spaces or topological vector spaces.
Calculus on Euclidean space is also a local model of calculus on manifolds, a theory of functions on manifolds.
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