<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0"
	xmlns:content="http://purl.org/rss/1.0/modules/content/"
	xmlns:wfw="http://wellformedweb.org/CommentAPI/"
	xmlns:dc="http://purl.org/dc/elements/1.1/"
	xmlns:atom="http://www.w3.org/2005/Atom"
	xmlns:sy="http://purl.org/rss/1.0/modules/syndication/"
	xmlns:slash="http://purl.org/rss/1.0/modules/slash/"
	xmlns:georss="http://www.georss.org/georss" xmlns:geo="http://www.w3.org/2003/01/geo/wgs84_pos#" xmlns:media="http://search.yahoo.com/mrss/"
	>

<channel>
	<title>A Portion of the Book</title>
	<atom:link href="http://mzargar.wordpress.com/feed/" rel="self" type="application/rss+xml" />
	<link>http://mzargar.wordpress.com</link>
	<description></description>
	<lastBuildDate>Fri, 23 Sep 2011 20:46:30 +0000</lastBuildDate>
	<language>en</language>
	<sy:updatePeriod>hourly</sy:updatePeriod>
	<sy:updateFrequency>1</sy:updateFrequency>
	<generator>http://wordpress.com/</generator>
<cloud domain='mzargar.wordpress.com' port='80' path='/?rsscloud=notify' registerProcedure='' protocol='http-post' />
<image>
		<url>http://s2.wp.com/i/buttonw-com.png</url>
		<title>A Portion of the Book</title>
		<link>http://mzargar.wordpress.com</link>
	</image>
	<atom:link rel="search" type="application/opensearchdescription+xml" href="http://mzargar.wordpress.com/osd.xml" title="A Portion of the Book" />
	<atom:link rel='hub' href='http://mzargar.wordpress.com/?pushpress=hub'/>
		<item>
		<title>Algebraic Number Theory: Norm and Trace (Part 4)</title>
		<link>http://mzargar.wordpress.com/2011/01/31/algebraic-number-theory-norm-and-trace-part-4/</link>
		<comments>http://mzargar.wordpress.com/2011/01/31/algebraic-number-theory-norm-and-trace-part-4/#comments</comments>
		<pubDate>Tue, 01 Feb 2011 00:41:08 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Galois Theory]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=839</guid>
		<description><![CDATA[This is a continuation of the the previous post, regarding separability,  in the Algebraic Number Theory series. Now that we have worked with separable polynomials, separable extensions, and separable elements, we will define norms and traces, and prove some results connecting this post to the previous posts in the series. Finally, I will apply all [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=839&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2011/01/31/algebraic-number-theory-norm-and-trace-part-4/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Algebraic Number Theory: Separability (Part 3)</title>
		<link>http://mzargar.wordpress.com/2011/01/25/algebraic-number-theory-separability/</link>
		<comments>http://mzargar.wordpress.com/2011/01/25/algebraic-number-theory-separability/#comments</comments>
		<pubDate>Tue, 25 Jan 2011 04:04:06 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=792</guid>
		<description><![CDATA[Starting with this post, which is a continuation of the last post, I will define separability, separable extensions, perfect fields, and discriminants, and also prove results germane to these objects. In the next post, in which norm and trace are discussed, I will apply these tools for to prove a beautiful result in combinatorial number [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=792&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2011/01/25/algebraic-number-theory-separability/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Algebraic Number Theory: Introduction (Part 2)</title>
		<link>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-introduction-part-2/</link>
		<comments>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-introduction-part-2/#comments</comments>
		<pubDate>Sun, 23 Jan 2011 03:14:05 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=767</guid>
		<description><![CDATA[I am currently in the course of writing a post about the applications of topology (mainly algebraic topology) to algebra. I hope I finish it soon. Meanwhile, I would like to continue my Algebraic Number Theory series. But before I begin, I think that it is necessarily to resolve an ambiguity: the title of each [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=767&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-introduction-part-2/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Algebraic Number Theory: Introduction (Part 1)</title>
		<link>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-i-introduction-part-1/</link>
		<comments>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-i-introduction-part-1/#comments</comments>
		<pubDate>Sat, 22 Jan 2011 05:07:53 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=736</guid>
		<description><![CDATA[Starting with this post, I am going to write a series of posts regarding algebraic number theory, and in the course of doing so, I will solve problems. This series is intended for those who are comfortable with ring theory, module theory (modules, exact sequences, tensor products, etc.), field theory, Galois extensions, group theory, and [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=736&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2011/01/22/algebraic-number-theory-i-introduction-part-1/feed/</wfw:commentRss>
		<slash:comments>2</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Return: Two Problems</title>
		<link>http://mzargar.wordpress.com/2011/01/18/return-two-problems/</link>
		<comments>http://mzargar.wordpress.com/2011/01/18/return-two-problems/#comments</comments>
		<pubDate>Tue, 18 Jan 2011 05:19:05 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Combinatorics]]></category>
		<category><![CDATA[Galois Theory]]></category>
		<category><![CDATA[Modules]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=681</guid>
		<description><![CDATA[Prior to beginning the discussion of the topic of this relatively short post, I would like to thank the people who reminded that I should right more. Someone mentioned that I had stated that my inactivity was due to the election; however, I do not recall stating such a thing. Although my interests and priorities [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=681&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2011/01/18/return-two-problems/feed/</wfw:commentRss>
		<slash:comments>3</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Chevalley-Warning and Combinatorics</title>
		<link>http://mzargar.wordpress.com/2009/07/27/chevalley-warning-and-combinatorics/</link>
		<comments>http://mzargar.wordpress.com/2009/07/27/chevalley-warning-and-combinatorics/#comments</comments>
		<pubDate>Mon, 27 Jul 2009 18:29:11 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Combinatorics]]></category>
		<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=593</guid>
		<description><![CDATA[Recently, I have been studying the two theorems that are of importance to zero-sum theory: Combinatorial Nullstellensatz and the Chevalley-Warning Theorem. The former method of proof is also referred to as the Noga Alon polynomial method. You may read Combinatorial Nullstellensatz, a very interesting paper attributed to Noga Alon. That being said, I would like to [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=593&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2009/07/27/chevalley-warning-and-combinatorics/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Cauchy&#8217;s Method of Induction</title>
		<link>http://mzargar.wordpress.com/2009/07/19/cauchys-method-of-induction/</link>
		<comments>http://mzargar.wordpress.com/2009/07/19/cauchys-method-of-induction/#comments</comments>
		<pubDate>Sun, 19 Jul 2009 22:47:38 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Miscellaneous]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=545</guid>
		<description><![CDATA[Being in the course of writing a couple of blog entries on a couple of technical topics, in the meantime, I would like to discuss a method of induction that is believed to have originated from Cauchy&#8217;s works.  I will illustrate the method by proving a couple of inequalities. Initially, I will discuss a proof [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=545&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2009/07/19/cauchys-method-of-induction/feed/</wfw:commentRss>
		<slash:comments>2</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>Invariants</title>
		<link>http://mzargar.wordpress.com/2009/07/09/invariants/</link>
		<comments>http://mzargar.wordpress.com/2009/07/09/invariants/#comments</comments>
		<pubDate>Fri, 10 Jul 2009 03:52:28 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Combinatorics]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=502</guid>
		<description><![CDATA[Problem 2. You are given markers each being one of the three colors green, blue, and red. A step is composed of taking two markers of dierent colors and replacing them with a marker of the third color. Prove that the color of the last marker remaining either does not depend on the way you [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=502&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2009/07/09/invariants/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>A Word on p+22</title>
		<link>http://mzargar.wordpress.com/2009/06/08/a-word-on-p22/</link>
		<comments>http://mzargar.wordpress.com/2009/06/08/a-word-on-p22/#comments</comments>
		<pubDate>Mon, 08 Jun 2009 04:12:43 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Number Theory]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=441</guid>
		<description><![CDATA[There is a class of conjectures that deal with the integral solutions to , where is a prime and with .  For example, it is open whether or not the above equation has an infinite number of solutions when .  In this entry, I would like to discuss the solutions to , where is a [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=441&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2009/06/08/a-word-on-p22/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>
	</item>
		<item>
		<title>The Fundamental Theorem of Algebra I</title>
		<link>http://mzargar.wordpress.com/2009/06/07/the-fundamental-theorem-of-algebra-i/</link>
		<comments>http://mzargar.wordpress.com/2009/06/07/the-fundamental-theorem-of-algebra-i/#comments</comments>
		<pubDate>Sun, 07 Jun 2009 22:43:35 +0000</pubDate>
		<dc:creator>Masoud Zargar</dc:creator>
				<category><![CDATA[Complex Analysis]]></category>

		<guid isPermaLink="false">http://mzargar.wordpress.com/?p=343</guid>
		<description><![CDATA[As a result of the very beautiful mathematics out there, it has been very difficult to keep my word about regularly posting here.  I have been procrastinating to complete the last post on Fourier series and its applications (Fourier Series, Geometry, and Summation) for I would like to continue it with a discussion of infinite [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=mzargar.wordpress.com&amp;blog=3289143&amp;post=343&amp;subd=mzargar&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://mzargar.wordpress.com/2009/06/07/the-fundamental-theorem-of-algebra-i/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
		<media:content url="http://0.gravatar.com/avatar/09cd695b4304440ce35b930502f040f1?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Masoud Zargar</media:title>
		</media:content>

		<media:content url="http://upload.wikimedia.org/wikipedia/commons/8/8d/Keyhole_contour.svg" medium="image">
			<media:title type="html">Add an Image</media:title>
		</media:content>
	</item>
	</channel>
</rss>
