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<book id="192221">
  <title><![CDATA[How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)]]></title>
  <isbn><![CDATA[069111966X]]></isbn>
  <isbn13><![CDATA[9780691119663]]></isbn13>
    <image_url>http://photo.goodreads.com/books/1172576409m/192221.jpg</image_url>
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  <best_book_id type="integer">192221</best_book_id>
  <books_count type="integer">6</books_count>
  <default_description>&lt;p&gt;A perennial bestseller by eminent mathematician G. Polya, &lt;i&gt;How to Solve It&lt;/i&gt; will show anyone in any field how to think straight.&lt;/p&gt;&lt;p&gt;In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be &quot;reasoned&quot; out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.&lt;/p&gt;&lt;p&gt;In this best-selling classic, George P&#243;lya revealed how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be &quot;reasoned&quot; out--from building a bridge to winning a game of anagrams. Generations of readers have relished P&#243;lya's deft instructions on stripping away irrelevancies and going straight to the heart of a problem. &lt;i&gt;How to Solve It&lt;/i&gt; popularized heuristics, the art and science of discovery and invention. It has been in print continuously since 1945 and has been translated into twenty-three different languages.&lt;/p&gt;&lt;p&gt; P&#243;lya was one of the most influential mathematicians of the twentieth century. He made important contributions to a great variety of mathematical research: from complex analysis to mathematical physics, number theory, probability, geometry, astronomy, and combinatorics. He was also an extraordinary teacher--he taught until he was ninety--and maintained a strong interest in pedagogical matters throughout his long career. In addition to &lt;i&gt;How to Solve It&lt;/i&gt;, he published a two-volume work on the topic of problem solving, &lt;i&gt;Mathematics of Plausible Reasoning&lt;/i&gt;, also with Princeton.&lt;/p&gt;&lt;p&gt; P&#243;lya is one of the most frequently quoted mathematicians, and the following statements from &lt;i&gt;How to Solve It&lt;/i&gt; make clear why: &quot;My method to overcome a difficulty is to go around it.&quot; &quot;Geometry is the science of correct reasoning on incorrect figures.&quot; &quot;In order to solve this differential equation you look at it till a solution occurs to you.&quot;&lt;/p&gt;</default_description>
  <id type="integer">185862</id>
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  <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">1971</original_publication_year>
  <original_title>How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)</original_title>
  <rating_dist>total:88|5:31|4:33|3:17|2:6|1:1|</rating_dist>
  <ratings_count type="integer">88</ratings_count>
  <ratings_sum type="integer">351</ratings_sum>
  <reviews_count type="integer">205</reviews_count>
  <text_reviews_count type="integer">16</text_reviews_count>
</work>

  <average_rating><![CDATA[3.99]]></average_rating>
  <ratings_count><![CDATA[69]]></ratings_count>
  <text_reviews_count><![CDATA[12]]></text_reviews_count>
  <url><![CDATA[http://www.goodreads.com/book/show/192221.How_to_Solve_It_A_New_Aspect_of_Mathematical_Method]]></url>
  <authors>
        <author id="663311">
      <name><![CDATA[George Pólya]]></name>
      <role><![CDATA[]]></role>
      <url><![CDATA[http://www.goodreads.com/author/show/663311.George_P_lya]]></url>
      <average_rating><![CDATA[4.05]]></average_rating>
      <ratings_count><![CDATA[100]]></ratings_count>
      <text_reviews_count><![CDATA[17]]></text_reviews_count>
    </author>
      </authors>
    <reviews start="1" end="20" total="204">
    <review id="36250916">
    <user id="266417">
    <name><![CDATA[Louis]]></name>
    <location><![CDATA[Pittsburgh, PA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/266417-louis]]></url>
  </user>
      <rating>5</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[Anyone who has to analyze situations not seen before]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Wed Oct 01 00:00:00 -0700 2008</read_at>
  <date_added>Sun Oct 26 14:39:05 -0700 2008</date_added>
  <date_updated>Sun Oct 26 15:04:59 -0700 2008</date_updated>
  <read_count>1</read_count>
    <body><![CDATA[This is a book I wish I had read at the beginning of grad school.  <em>How to Solve It</em> is not as much about methods of solving mathematical problems as it is about various approaches to solving problems in general.  The method he uses to teach problem solving is to apply the approaches to problems of ge...<a href="http://www.goodreads.com/review/show/36250916">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/36250916]]></url>
</review>
    <review id="35298726">
    <user id="89099">
    <name><![CDATA[Ben]]></name>
    <location><![CDATA[Astoria, NY]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/89099-ben]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Mon Sep 01 00:00:00 -0700 2008</read_at>
  <date_added>Tue Oct 14 12:37:35 -0700 2008</date_added>
  <date_updated>Tue Oct 14 13:05:40 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[This is a cool book.  It's a comparatively rare thing for a first-class mathematician to write really seriously and thoughtfully about math education; at least it's not something I've come across too much.  And it's been about a year and a half since I read anything about math education I didn't fee...<a href="http://www.goodreads.com/review/show/35298726">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/35298726]]></url>
</review>
    <review id="4338962">
    <user id="105482">
    <name><![CDATA[Ariel]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/105482-ariel]]></url>
  </user>
      <rating>5</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[everyone]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sun Jul 01 00:00:00 -0700 2007</read_at>
  <date_added>Thu Aug 09 18:27:55 -0700 2007</date_added>
  <date_updated>Thu Aug 09 18:32:46 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[I don't remember when I first encountered this book -- I think it was early in my time at Cornell.  It's had a great deal of influence on how I approach math. It's one of the best math books I've ever read, and quite possibly the best book on mathematical problem solving ever written. <br/><br/>Th...<a href="http://www.goodreads.com/review/show/4338962">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/4338962]]></url>
</review>
    <review id="42474641">
    <user id="1445808">
    <name><![CDATA[Mikhail]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1445808-mikhail]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Thu Jan 08 00:00:00 -0800 2009</read_at>
  <date_added>Fri Jan 09 11:06:50 -0800 2009</date_added>
  <date_updated>Fri Jan 09 11:47:53 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[Polya is a mathematician who wrote this book for math teachers. He discusses techniques for solving problems and for teaching others to solve problems. Most of his examples are from geometry and algebra, but the same techniques can be applied to non-mathematical problems. I found it useful to review...<a href="http://www.goodreads.com/review/show/42474641">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/42474641]]></url>
</review>
    <review id="12714008">
    <user id="783925">
    <name><![CDATA[Randy]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/783925-randy]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Sun Apr 01 00:00:00 -0700 2007</read_at>
  <date_added>Wed Jan 16 18:41:53 -0800 2008</date_added>
  <date_updated>Thu Jan 17 20:10:39 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[This book culminates G. Polya many years of work and research into distilling the essential components of problem solving.  Being a mathematician, mathematics is the context in which most discussion occurs and in which most examples are given.  However, in some sense the focus on mathematics is just...<a href="http://www.goodreads.com/review/show/12714008">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/12714008]]></url>
</review>
    <review id="59894219">
    <user id="2422103">
    <name><![CDATA[Linda]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2422103-linda]]></url>
  </user>
      <rating>5</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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  <recommended_for><![CDATA[]]></recommended_for>
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  <read_at></read_at>
  <date_added>Tue Jun 16 10:13:05 -0700 2009</date_added>
  <date_updated>Tue Jun 16 10:17:13 -0700 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[This book (1944) describes Polya's classic method for problem solving; in steps to understand the problem, devise a plan, carry out the plan, and reflect on the solution. It is written for classroom use and has puzzles, problems, proofs, and proverbs in the back.  A great math methods book.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/59894219]]></url>
</review>
    <review id="61423287">
    <user id="51692">
    <name><![CDATA[Shannon]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/51692-shannon]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Fri May 01 00:00:00 -0700 2009</read_at>
  <date_added>Sun Jun 28 15:53:25 -0700 2009</date_added>
  <date_updated>Sun Jun 28 15:54:33 -0700 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[Polya is all about the questions.  What do you think?  Why do you think that?  Can you prove it?  Can't wait to read more.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/61423287]]></url>
</review>
    <review id="54068018">
    <user id="2258982">
    <name><![CDATA[Cenny]]></name>
    <location><![CDATA[Lund, 27, Sweden]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2258982-cenny-wenner]]></url>
  </user>
      <rating>5</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
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      </shelves>
  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Sun Apr 26 18:28:29 -0700 2009</date_added>
  <date_updated>Sun Apr 26 18:28:29 -0700 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[A must for every mathematician. Accessible for high school students.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/54068018]]></url>
</review>
    <review id="3007508">
    <user id="166376">
    <name><![CDATA[David]]></name>
    <location><![CDATA[San Francisco, CA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/166376-david]]></url>
  </user>
      <rating>2</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Thu Jul 12 18:53:11 -0700 2007</date_added>
  <date_updated>Sun Aug 05 18:35:52 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[This is one of those mathematical &quot;classics&quot; that those of us with a training in math are supposed to love. Fact of the matter is that it is poorly written and pedestrian in nature. If you are seeking insight into how mathematicians think and approach problem-solving, give this one a miss....<a href="http://www.goodreads.com/review/show/3007508">more...</a>]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/3007508]]></url>
</review>
    <review id="1184645">
    <user id="78563">
    <name><![CDATA[Arash]]></name>
    <location><![CDATA[Iran, Islamic Republic of]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/78563-arash]]></url>
  </user>
      <rating>5</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
  <spoiler_flag>false</spoiler_flag>
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      </shelves>
  <recommended_for><![CDATA[every one how want to solve a problem or teach others how to solve it!]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Tue May 01 00:00:00 -0700 2007</read_at>
  <date_added>Sun May 13 05:17:19 -0700 2007</date_added>
  <date_updated>Thu Jun 28 08:56:44 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[When I start reading this book( it's persian translation),I surprised of how clear Polya has explained SOLVING A PROBLEM.In this book you learn how to think when you want to solve problems.and I think it works all the time.after that you should improve your aknowledgment.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/1184645]]></url>
</review>
    <review id="25900970">
    <user id="911067">
    <name><![CDATA[Alicia]]></name>
    <location><![CDATA[Framingham, MA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/911067-alicia]]></url>
  </user>
      <rating>0</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Mon Jun 30 07:15:48 -0700 2008</date_added>
  <date_updated>Mon Jun 30 07:15:48 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[A reread. I know I'm the perennial Meyers-Briggs Rational Mastermind, but I heart this book and believe if more American children read it by age 8 there would be fewer girls who think math is hard.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/25900970]]></url>
</review>
    <review id="8559600">
    <user id="274986">
    <name><![CDATA[Maureen]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/274986-maureen]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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      </shelves>
  <recommended_for><![CDATA[teachers]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Thu Nov 01 00:00:00 -0700 2007</read_at>
  <date_added>Fri Nov 02 07:27:51 -0700 2007</date_added>
  <date_updated>Fri Nov 02 07:29:49 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[Lots of heuristics for problem solving with examples mostly applied to geometry and simple math. Written in delightful 1940s-era prose (at least in the 2nd edition).]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/8559600]]></url>
</review>
    <review id="6342676">
    <user id="350592">
    <name><![CDATA[Shirin]]></name>
    <location><![CDATA[tehran, Iran, Islamic Republic of]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/350592-shirin]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
  <sell_flag>false</sell_flag>
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  <recommended_for><![CDATA[everyone]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Wed Jun 01 00:00:00 -0700 2005</read_at>
  <date_added>Mon Sep 17 13:53:18 -0700 2007</date_added>
  <date_updated>Mon Sep 17 13:59:08 -0700 2007</date_updated>
  <read_count></read_count>
    <body><![CDATA[it is such a great book for solving your maths problems and it gives you the aspect of seeing the maths `s question and formula!]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/6342676]]></url>
</review>
    <review id="15167753">
    <user id="897673">
    <name><![CDATA[Greta]]></name>
    <location><![CDATA[Astoria, OR]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/897673-greta]]></url>
  </user>
      <rating>4</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
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  <read_at></read_at>
  <date_added>Mon Feb 11 12:58:51 -0800 2008</date_added>
  <date_updated>Mon Feb 11 12:59:18 -0800 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[a good book about math?<br/>YES!<br/>it is entertaining and well written.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/15167753]]></url>
</review>
    <review id="29873323">
    <user id="1416844">
    <name><![CDATA[Jen]]></name>
    <location><![CDATA[Moscow, ID]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/1416844-jen]]></url>
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      <rating>0</rating>
  <votes>0</votes>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at></read_at>
  <date_added>Mon Aug 11 13:59:46 -0700 2008</date_added>
  <date_updated>Mon Aug 11 14:00:12 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[Hopefully this one will make me the perfect professor. :)]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/29873323]]></url>
</review>
    <review id="18629616">
    <user id="355240">
    <name><![CDATA[Ben]]></name>
    <location><![CDATA[San Francisco, CA]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/355240-ben]]></url>
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      <rating>4</rating>
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  <recommended_for><![CDATA[]]></recommended_for>
  <recommended_by><![CDATA[]]></recommended_by>
  <read_at>Thu Jan 01 00:00:00 -0800 2004</read_at>
  <date_added>Tue Mar 25 17:24:40 -0700 2008</date_added>
  <date_updated>Tue Mar 25 17:25:03 -0700 2008</date_updated>
  <read_count></read_count>
    <body><![CDATA[a little dense, but good for you. or for me.]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/18629616]]></url>
</review>
    <review id="78918665">
    <user id="2979118">
    <name><![CDATA[Daniel]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/2979118-daniel]]></url>
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  <recommended_for><![CDATA[]]></recommended_for>
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  <read_at></read_at>
  <date_added>Tue Nov 24 21:02:58 -0800 2009</date_added>
  <date_updated>Tue Nov 24 21:02:58 -0800 2009</date_updated>
  <read_count></read_count>
    <body><![CDATA[]]></body>
    <url><![CDATA[http://www.goodreads.com/review/show/78918665]]></url>
</review>
    <review id="78811830">
    <user id="826723">
    <name><![CDATA[Megan]]></name>
    <location><![CDATA[The United States]]></location>        
    <url><![CDATA[http://www.goodreads.com/user/show/826723-megan]]></url>
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