Open Access
2004-2005 On Green's theorem and Cauchy's theorem.
W. M. Greenlee
Author Affiliations +
Real Anal. Exchange 30(2): 703-718 (2004-2005).


Green's Theorem is proved using only the geometric (or physical) definition of curl, without the use of partial derivatives. The curl free (conservative) case can then be used to prove Cauchy's Theorem.


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W. M. Greenlee. "On Green's theorem and Cauchy's theorem.." Real Anal. Exchange 30 (2) 703 - 718, 2004-2005.


Published: 2004-2005
First available in Project Euclid: 15 October 2005

zbMATH: 1098.53012
MathSciNet: MR2177428

Primary: 30E20 , 53A45

Keywords: Cauchy's Theorem , Green's Theorem

Rights: Copyright © 2004 Michigan State University Press

Vol.30 • No. 2 • 2004-2005
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