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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Complex_analysis</id>
		<title>Complex analysis - Revision history</title>
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		<updated>2026-10-23T13:24:13Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=Complex_analysis&amp;diff=10486&amp;oldid=prev</id>
		<title>Karl Jones at 12:15, 3 April 2016</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Complex_analysis&amp;diff=10486&amp;oldid=prev"/>
				<updated>2016-04-03T12:15:12Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 12:15, 3 April 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 34:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 34:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Complex_analysis Complex analysis] @ Wikipedia&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://en.wikipedia.org/wiki/Complex_analysis Complex analysis] @ Wikipedia&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Complex_analysis&amp;diff=9473&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;'''Complex analysis''', traditionally known as the '''theory of functions of a complex variable''', is the branch of mathematical analysis that investigates functions of [...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Complex_analysis&amp;diff=9473&amp;oldid=prev"/>
				<updated>2016-03-07T15:07:13Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Complex analysis&amp;#039;&amp;#039;&amp;#039;, traditionally known as the &amp;#039;&amp;#039;&amp;#039;theory of functions of a complex variable&amp;#039;&amp;#039;&amp;#039;, is the branch of &lt;a href=&quot;/index.php/Mathematical_analysis&quot; title=&quot;Mathematical analysis&quot;&gt;mathematical analysis&lt;/a&gt; that investigates functions of [...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Complex analysis''', traditionally known as the '''theory of functions of a complex variable''', is the branch of [[mathematical analysis]] that investigates functions of [[Complex number|complex numbers]].&lt;br /&gt;
&lt;br /&gt;
== Description ==&lt;br /&gt;
&lt;br /&gt;
It is useful in many branches of [[mathematics]], including:&lt;br /&gt;
&lt;br /&gt;
* [[Algebraic geometry]]&lt;br /&gt;
* [[Number theory]]&lt;br /&gt;
* [[Applied mathematics]]&lt;br /&gt;
&lt;br /&gt;
It is used in many branches of [[physics]] and [[engineering]], including:&lt;br /&gt;
&lt;br /&gt;
* Hydrodynamics&lt;br /&gt;
* Thermodynamics&lt;br /&gt;
* Nuclear engineering&lt;br /&gt;
* Aerospace engineering&lt;br /&gt;
* [[Mechanical engineering]]&lt;br /&gt;
* [[Electrical engineering]]&lt;br /&gt;
&lt;br /&gt;
[[Murray R. Spiegel]] described complex analysis as &amp;quot;one of the most beautiful as well as useful branches of Mathematics&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
Complex analysis is particularly concerned with [[Analytic function|analytic functions]] of [[Complex variable|complex variables]] (or, more generally, [[Meromorphic function|meromorphic functions]]).&lt;br /&gt;
&lt;br /&gt;
Because the separate [[Real number|real]] and [[Imaginary number|imaginary]] parts of any [[Analytic function|analytic function]] must satisfy [[Laplace's equation]], complex analysis is widely applicable to two-dimensional problems in [[physics]].&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Complex number]]&lt;br /&gt;
* [[Laplace's equation]]&lt;br /&gt;
* [[Mathematical analysis]]&lt;br /&gt;
* [[Mathematics]]&lt;br /&gt;
&lt;br /&gt;
==  External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Complex_analysis Complex analysis] @ Wikipedia&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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