A Simple Proof That the Curl Defined as Circulation Density Is a Vector-Valued Function, and an Alternative Approach to Proving Stoke’s Theorem - Advances in Pure Mathematics

APM > Vol.2 No.1, January 2012

A Simple Proof That the Curl Defined as Circulation Density Is a Vector-Valued Function, and an Alternative Approach to Proving Stoke’s Theorem ()

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DOI: 10.4236/apm.2012.21007 10,819 Downloads 18,003 Views Citations

Author(s)

David McKay

Affiliation(s)

ABSTRACT

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.

KEYWORDS

Curl; Circulation Density

Share and Cite:

D. McKay, "A Simple Proof That the Curl Defined as Circulation Density Is a Vector-Valued Function, and an Alternative Approach to Proving Stoke’s Theorem," Advances in Pure Mathematics, Vol. 2 No. 1, 2012, pp. 33-35. doi: 10.4236/apm.2012.21007.

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