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
Author(s) David McKay
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.

Cite this paper
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.
References
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[2]   J. Stewart, “Calculus,” 4th Edition, Brooks/Cole, Stamford, 1999.

[3]   H. M. Schey, “Div, Grad, Curl, and All That: An Informal Text on Vector Calculus,” 4th Edition, W. W. Norton, New York, 2005.

[4]   E. Weisstein, “Wolfram Mathworld.” http://mathworld.wolfram.com/Curl.html

[5]   K. Hildebrandt, K. Polthier and M. Wardetzky, “On the Convergence of Metric and Geometric Properties of Polyhedral Surfaces,” Geometriae Dedicata, Vol. 123, No. 1, 2005, pp. 89-112. doi:10.1007/s10711-006-9109-5

 
 
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