%0 Journal Article %T A Simple Proof That the Curl Defined as Circulation Density Is a Vector-Valued Function, and an Alternative Approach to Proving Stoke¡¯s Theorem %A David McKay %J Advances in Pure Mathematics %P 33-35 %@ 2160-0384 %D 2012 %I Scientific Research Publishing %R 10.4236/apm.2012.21007 %X This article offers a simple but rigorous proof that the curl defined as a limit of circulation density is a vector-valued function with the standard Cartesian expression. %K Curl %K Circulation Density %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=16894