<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
</head>
<body>
<p><font size="+1">Absolutely. The Residue theorem is the bare
minimum of what I would expect to be included in a development
of complex analysis, and that requires winding numbers.</font></p>
<p><font size="+1">I don't really have an idea of what material you
really need for winding numbers. I recall that Wenda had some
problems with them (about what happens when there's a pole on
the path) – perhaps it would make sense to give that theory an
overhaul altogether? Perhaps he can chime in on this; he
probably knows much more about this than I do.</font></p>
<p><font size="+1">Manuel<br>
</font></p>
<p><font size="+1"></font><br>
</p>
<div class="moz-cite-prefix">On 04/11/2019 13:44, Lawrence Paulson
wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CE2F7F13-35DC-488A-99A9-45D589A054AA@cam.ac.uk">
<pre class="moz-quote-pre" wrap="">Then the obvious stopping point is one line above: Derivative.
The problem at the moment with basing a development around the Cauchy integral theorem is that you might also want to include Winding_Numbers, but that theory inherits almost the whole of Analysis: even the Jordan curve theorem.
Larry
</pre>
<blockquote type="cite">
<pre class="moz-quote-pre" wrap="">On 4 Nov 2019, at 12:19, Manuel Eberl <a class="moz-txt-link-rfc2396E" href="mailto:eberlm@in.tum.de"><eberlm@in.tum.de></a> wrote:
Great work, thanks for taking care of this!
Just abstractly speaking, it would seem very odd to me to have a "complex analysis" directory without integration. Complex integration and the Cauchy integral formula are such basic tools in complex analysis that not including them in a "complex analysis" entry would seem… unusual to me.
Perhaps "complex analysis prerequisites".
</pre>
</blockquote>
<pre class="moz-quote-pre" wrap="">
</pre>
</blockquote>
</body>
</html>