Question

what is curl in mathematics

Answer 1

You need to understand vector fields and line integrals to be able to follow an explanation of mathematical curl.

Answer 2

\[\newcommand\pa[2]{\frac{\partial #1}{\partial #2}} % partial derivative
\newcommand\ve[1]{\vec{\boldsymbol {#1}}} % vector
\newcommand\uv[1]{\hat{\boldsymbol {#1}}} % unit vector

\operatorname{curl} \ve F
=\nabla\times\ve F
=\left|
\begin{array}{ccc}
\uv x &\uv y &\uv z\\
\pa{}x & \pa{}y &\pa{}z\\
F_x &F_y &F_z\\
\end{array}
\right|\]

Answer 3

http://mathinsight.org/curl_idea