what is the cauchy-coursat theorem state specifically in word? Is it calculate the area or the legth,which area and what legth? please give a example! And what is deformation of contour?
what is the cauchy-coursat theorem state specificly in word?
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complex-analysis
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1Deformation of contour refers to homotopy. This whole machinery is dealt with nicely in John Conway's complex analysis book. – 2011-07-10
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http://en.wikipedia.org/wiki/Cauchy-Goursat_theorem
Contour integrals in the complex plane can't be interpreted in terms of length or area.
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0But why is it represent as number? – 2011-07-10