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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2000 • Question 8

Question

Math 6210 • Real Analysis 2000 • Question 8

Let \(\gamma \) be a closed path in \(\mathbb C\setminus [0,1]\). Show that \[ \int _\gamma \frac {1}{z(1-z)}\,dz=0. \]

Raw LaTeX

Let \(\gamma\) be a closed path in \(\mathbb C\setminus [0,1]\). Show
that
\[
\int_\gamma \frac{1}{z(1-z)}\,dz=0.
\]

Topic Tags

Lebesgue Integration