- #1
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The question is this:
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?
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?