Typos

[gporridge]

In the section "The Logarithmic Function"

If we restrict the value of $\theta$ so that $\alpha < \theta < \alpha + 2n\pi$

Should be

$\alpha < \theta < \alpha + 2\pi$

In the section "Cauchy-Goursat Theorem"

If a function $f$ is analytic throughout a simply simple connected domain $D,$

A function $f$ that is analytic throughout a simply simple connected domain $D$

Should be "simply connected".

[gporridge]

In the section Cauchy Integral Formula:

we can use induction to obtain the second remarkabl formula:

we can identiry

[gporridge]

In the section Cauchy Integral Formula

and so $f(0) = \frac{2i+1}{4i}.$

Should be

$f^{(2)}(0) = \frac{i+2}{4}.$