Toronto Math Forum

MAT334-2018F => MAT334--Lectures & Home Assignments => Topic started by: Justin Cheung on October 21, 2018, 12:22:07 AM

Title: Chapter 1.6 Question 9(b)
Post by: Justin Cheung on October 21, 2018, 12:22:07 AM

Does anyone know what Question 9(b) from Section 1.6 is asking us to do ? I have read the question a few times and I still do not seem to get the hang of it.

Title: Re: Chapter 1.6 Question 9(b)
Post by: Victor Ivrii on October 22, 2018, 05:56:37 PM

The conclusion of Example 13 is
$$
\frac{1}{2\pi i}\int_\gamma \frax{dz}{z-p}=\left\{\begin{aligned}
&0 & p\text{    outside  }\gamma\\
&1 & p\text{    inside  }\gamma.
\end{aligned}\right.
$$
You are asked to verify it for $\gamma$ specified in 9(b) using two decompositions in 9(b)