What is Multivariable calculus?
In [[calculus]], '''multivariable calculus''' or '''multivariate calculus''' is the extension of regular, one-dimensional [[calculus]] to more than one dimension. Most of the concepts from calculus, such as [[Continuous function|continuity]] and [[chain rule]], still work in more than one dimension, though sometimes with greater complexity and counter-intuitive result. Special multivariable uses include ''[[Partial derivative|partial derivatives]]'', or [[differentiation]] with only one dimension at a time, and ''multiple integration'', or [[integral|integrating]] over more than one dimension. The [[Gradient|gradient operator]] <math>
abla</math>, defined in terms of partial derivatives, is used to define higher concepts such as [[Laplace operator]], [[divergence]] and [[curl]]. By integrating a multivariable function over several variables, one can define an integral over an area, surface or volume as well.<ref>{{Cite web|date=2020-05-11|title=List of Calculus and Analysis Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/|access-date=2020-09-17|website=Math Vault|language=en-US}}</ref><ref>{{Cite web|last=Weisstein|first=Eric W.|title=Multiple Integral|url=https://mathworld.wolfram.com/MultipleIntegral.html|access-date=2020-09-17|website=mathworld.wolfram.com|language=en}}</ref> == Related pages == * [[Vector calculus]] == References == <references /> {{Math-stub}} {{Calculus topics}} [[Category:Calculus]]