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Consider p(z) a polynomial and C a closed path containing all the zeroes of p in its interior. Compute

[tex]\frac{1}{2\pi i}\int_C z\frac{p'(z)}{p(z)}dz[/tex]

The solution given by the manual starts by saying that

[tex]\frac{p'(z)}{p(z)}=(log(p(z)))'[/tex].

But there is no determination of log(p(z)) on C. Isn't that a problem?

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# Determination of logarithm (complex)

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