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<book id="551722">
  <title><![CDATA[Unknown Quantity: A Real and Imaginary History of Algebra]]></title>
  <isbn><![CDATA[0452288533]]></isbn>
  <isbn13><![CDATA[9780452288539]]></isbn13>
    <image_url>http://photo.goodreads.com/books/1175728494m/551722.jpg</image_url>
    <work>
  <best_book_id type="integer">551722</best_book_id>
  <books_count type="integer">3</books_count>
  <default_description> For curious nonmathematicians and armchair algebra buffs, John Derbyshire discovers the story  behind the formulae, roots, and radicals. As he did so masterfully in &lt;I&gt;Prime Obsession&lt;/I&gt;,  Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key  historical players. &lt;I&gt;Unknown Quantity&lt;/I&gt; begins in the time of Abraham and Isaac and moves  from Abel's proof to the higher levels of abstraction developed by Galois through modern-day  advances. Derbyshire explains how a simple turn of thought from &quot;this plus this equals this&quot; to  &quot;this plus &lt;I&gt;what&lt;/I&gt; equals this?&quot; gave birth to a whole new way of perceiving the world. With a  historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads  readers on an intellectually satisfying and pleasantly challenging journey through the  development of abstract mathematical thought.</default_description>
  <id type="integer">538962</id>
  <media_type nil="true"></media_type>
  <original_language_id type="integer" nil="true"></original_language_id>
  <original_publication_day type="integer" nil="true"></original_publication_day>
  <original_publication_month type="integer" nil="true"></original_publication_month>
  <original_publication_year type="integer">2006</original_publication_year>
  <original_title>Unknown Quantity: A Real and Imaginary History of Algebra</original_title>
  <rating_dist>total:65|5:9|4:27|3:21|2:8|1:0|</rating_dist>
  <ratings_count type="integer">65</ratings_count>
  <ratings_sum type="integer">232</ratings_sum>
  <reviews_count type="integer">130</reviews_count>
  <text_reviews_count type="integer">16</text_reviews_count>
</work>

  <average_rating><![CDATA[3.57]]></average_rating>
  <ratings_count><![CDATA[59]]></ratings_count>
  <text_reviews_count><![CDATA[14]]></text_reviews_count>
  <url><![CDATA[http://www.goodreads.com/book/show/551722.Unknown_Quantity_A_Real_and_Imaginary_History_of_Algebra]]></url>
  <authors>
        <author id="101881">
      <name><![CDATA[John Derbyshire]]></name>
      <role><![CDATA[]]></role>
      <url><![CDATA[http://www.goodreads.com/author/show/101881.John_Derbyshire]]></url>
      <average_rating><![CDATA[3.82]]></average_rating>
      <ratings_count><![CDATA[239]]></ratings_count>
      <text_reviews_count><![CDATA[60]]></text_reviews_count>
    </author>
      </authors>
    <reviews start="1" end="20" total="130">
    <review id="38163616">
    <user id="1733248">
    <name><![CDATA[Adam]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1733248-adam]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sat Nov 22 00:00:00 -0800 2008</read_at>
  <date_added>Wed Nov 19 14:28:38 -0800 2008</date_added>
  <date_updated>Sat Nov 22 12:17:30 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[Unknown Quantity is an interesting book about the history of algebra, but I think its major failing is that it concentrates sufficiently heavily on the mathematics that it's hard to read sections if you aren't already knowledgeable about them.  It claims to be aimed at the non-mathematician, but eve...<a href="http://www.goodreads.com/review/show/38163616">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/38163616]]></url>
</review>
    <review id="37932062">
    <user id="1618607">
    <name><![CDATA[Natbas]]></name>
    <location><![CDATA[chennai, India]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1618607-natbas]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[people interested in ideas ]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Nov 17 00:00:00 -0800 2008</read_at>
  <date_added>Mon Nov 17 05:50:18 -0800 2008</date_added>
  <date_updated>Mon Nov 17 05:51:44 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[<br/><br/>I am reading a book on Maths, I am about to finish it, and in this book, I found a superb passage:<br/><br/>&quot;I remain completely confident that the labor I have expended on the science presented here and which <br/><br/>hasd emanded a significant part of my life as well as the m...<a href="http://www.goodreads.com/review/show/37932062">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/37932062]]></url>
</review>
    <review id="17838196">
    <user id="935663">
    <name><![CDATA[Michael]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/935663-michael]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
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      </shelves>
  <recommended_for><![CDATA[anyone with a BS in math]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Dec 10 00:00:00 -0800 2007</read_at>
  <date_added>Sat Mar 15 20:33:23 -0700 2008</date_added>
  <date_updated>Fri May 09 08:51:48 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[This book starts well but descends into incomprehensibility for the last quarter.  The history of the development of algebra in the classical era and the middle ages was very accessible and informative. But I think the author tries to cover too much in discussing abstract algebra, topology, group th...<a href="http://www.goodreads.com/review/show/17838196">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/17838196]]></url>
</review>
    <review id="9481542">
    <user id="101636">
    <name><![CDATA[Jesse]]></name>
    <location><![CDATA[Pittsburgh, PA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/101636-jesse]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
        <shelf name="history" />
        <shelf name="mathematics" />
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sat Dec 01 00:00:00 -0800 2007</read_at>
  <date_added>Sat Nov 24 08:35:55 -0800 2007</date_added>
  <date_updated>Thu Dec 27 19:38:55 -0800 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[There's an inherent difficulty in writing a book of this kind; a significant portion of the material that the author is expected to cover is simply out of the range of readers that lack an extensive background in mathematics. It is, in fact, worse than physics, in which metaphors can be used to give...<a href="http://www.goodreads.com/review/show/9481542">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/9481542]]></url>
</review>
    <review id="49624374">
    <user id="1521708">
    <name><![CDATA[Michael]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1521708-michael]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Wed Oct 01 00:00:00 -0700 2008</read_at>
  <date_added>Tue Mar 17 20:26:16 -0700 2009</date_added>
  <date_updated>Tue Mar 17 20:32:12 -0700 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[Okay, but not as good as &quot;Prime Obsession&quot;.  It can't seem to decide whether it wants to be a math book or a history book.  As a result, it isn't very good at being either.  For the math layman (as I am), the more abstract algebra later in the book requires more explanation/background than...<a href="http://www.goodreads.com/review/show/49624374">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/49624374]]></url>
</review>
    <review id="8018740">
    <user id="201696">
    <name><![CDATA[Erica]]></name>
    <location><![CDATA[Brooklyn, NY]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/201696-erica]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
        <shelf name="fall2007" />
      </shelves>
  <recommended_for><![CDATA[math nerds]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Oct 01 00:00:00 -0700 2007</read_at>
  <date_added>Sun Oct 21 08:49:11 -0700 2007</date_added>
  <date_updated>Sun Oct 21 08:57:05 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[10/21/07<br/><br/>I checked this out at the library. Wanting to know more history about mathematics (because I have started doing this monthly thing with my students called the &quot;Mathematician of the Month&quot; where they research a famous mathematician that has had some influence over whatev...<a href="http://www.goodreads.com/review/show/8018740">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/8018740]]></url>
</review>
    <review id="42417095">
    <user id="1885540">
    <name><![CDATA[Dave]]></name>
    <location><![CDATA[Astoria, NY]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1885540-dave]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sun Jan 01 00:00:00 -0800 2006</read_at>
  <date_added>Thu Jan 08 19:50:25 -0800 2009</date_added>
  <date_updated>Thu Jan 08 19:56:40 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[Longer and more thorough book covering same material from Infinite Ascent.  Provides good motivation for modern advancements in mathematics.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/42417095]]></url>
</review>
    <review id="43531298">
    <user id="1927845">
    <name><![CDATA[Alaina]]></name>
    <location><![CDATA[Olympia, WA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1927845-alaina]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Sun Jan 18 20:03:11 -0800 2009</date_added>
  <date_updated>Sun Jan 18 20:03:31 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[This is on my shelf, waiting to be read.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/43531298]]></url>
</review>
    <review id="63328581">
    <user id="1159787">
    <name><![CDATA[Valerie]]></name>
    <location><![CDATA[Ben Lomond, CA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1159787-valerie]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
        <shelf name="currently-reading" />
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Mon Jul 13 14:32:54 -0700 2009</date_added>
  <date_updated>Mon Jul 13 14:33:08 -0700 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[This is what I should be reading.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/63328581]]></url>
</review>
    <review id="1632396">
    <user id="83900">
    <name><![CDATA[Shu Lindsey]]></name>
    <location><![CDATA[San Jose, CA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/83900-shu-lindsey]]></url>
  </user>
      <rating>2</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Fri Jun 01 00:00:00 -0700 2007</read_at>
  <date_added>Sun Jun 03 14:34:17 -0700 2007</date_added>
  <date_updated>Thu Jun 07 15:42:41 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[&quot;[E]very science, when we understand it not as an instrument of power and domination but as an adventure in knowledge pursued by our species across the ages, is nothing but this harmony, more or less vast, more or less rich from one epoch to another, which unfurls over the course of generations...<a href="http://www.goodreads.com/review/show/1632396">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/1632396]]></url>
</review>
    <review id="42201154">
    <user id="1841432">
    <name><![CDATA[Michael]]></name>
    <location><![CDATA[Charlotte, NC]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1841432-michael]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
        <shelf name="to-read" />
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Wed Jan 07 05:38:03 -0800 2009</date_added>
  <date_updated>Sun Feb 22 08:11:37 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[I have a feeling that I may start a few other books while reading this one.  White it's not a &quot;hard math&quot; book, it's not exactly light reading either.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/42201154]]></url>
</review>
    <review id="11894797">
    <user id="752750">
    <name><![CDATA[Matthew]]></name>
    <location><![CDATA[Seattle, WA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/752750-matthew]]></url>
  </user>
      <rating>2</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sun Nov 23 00:00:00 -0800 2008</read_at>
  <date_added>Mon Jan 07 12:19:20 -0800 2008</date_added>
  <date_updated>Thu Dec 04 00:45:21 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[I was hoping for a little more narrative, and a little less math. And, truthfully, I had to skim through the last 50 pages or so because my attention was flagging.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/11894797]]></url>
</review>
    <review id="12427848">
    <user id="778499">
    <name><![CDATA[Gus]]></name>
    <location><![CDATA[Draper, UT]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/778499-gus]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[anyone who enjoys math/science or related history]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Tue Jan 01 00:00:00 -0800 2008</read_at>
  <date_added>Sun Jan 13 16:21:07 -0800 2008</date_added>
  <date_updated>Sun Jan 13 16:22:01 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[Fun read. But now that I've read several books on the history of mathematics/symmetry some of it was material I'd already seen.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/12427848]]></url>
</review>
    <review id="26002334">
    <user id="1196866">
    <name><![CDATA[Joe]]></name>
    <location><![CDATA[Allen, TX]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1196866-joe]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
        <shelf name="currently-reading" />
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Tue Jul 01 07:00:40 -0700 2008</date_added>
  <date_updated>Wed Jan 07 08:48:55 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[I like the history of mathematics... [turns head away in shame, moist eyes brimming with hot tears of disgrace]]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/26002334]]></url>
</review>
    <review id="25612494">
    <user id="1258147">
    <name><![CDATA[Brian]]></name>
    <location><![CDATA[Cottage Grove, MN]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1258147-brian-olson]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
  <shelves>
      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Jan 01 00:00:00 -0800 2007</read_at>
  <date_added>Thu Jun 26 18:21:00 -0700 2008</date_added>
  <date_updated>Thu Jun 26 18:21:09 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[(unfinished) - That one was good - I have to remember to finish it.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/25612494]]></url>
</review>
    <review id="25119292">
    <user id="419426">
    <name><![CDATA[Craig]]></name>
    <location><![CDATA[Judsonia, AR]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/419426-craig]]></url>
  </user>
      <rating>2</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Sun Jun 22 09:30:44 -0700 2008</date_added>
  <date_updated>Mon Jun 23 13:07:26 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[How good could a history of algebra be? Really? Get a grip.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/25119292]]></url>
</review>
    <review id="79615091">
    <user id="2765893">
    <name><![CDATA[Sepht]]></name>
    <location><![CDATA[Berkeley, CA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2765893-sepht]]></url>
  </user>
      <rating>4</rating>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Wed Dec 02 00:23:00 -0800 2009</date_added>
  <date_updated>Wed Dec 02 00:23:00 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/79615091]]></url>
</review>
    <review id="79452554">
    <user id="2141925">
    <name><![CDATA[Mark]]></name>
    <location><![CDATA[Spokane, WA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2141925-mark]]></url>
  </user>
      <rating>0</rating>
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      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Nov 30 00:00:00 -0800 2009</read_at>
  <date_added>Mon Nov 30 15:23:21 -0800 2009</date_added>
  <date_updated>Mon Nov 30 15:23:38 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/79452554]]></url>
</review>
    <review id="79055054">
    <user id="2983235">
    <name><![CDATA[Leo]]></name>
    <location><![CDATA[Wake Forest, NC]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2983235-leo-sadovy]]></url>
  </user>
      <rating>3</rating>
  <votes>0</votes>
  <sell_flag>true</sell_flag>
  <spoiler_flag>false</spoiler_flag>
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        <shelf name="nf-math" />
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