Recommendations for a Problem Solving Book

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Discussion Overview

The discussion revolves around recommendations for problem-solving books, ranging from basic algebra word problems to advanced topics suitable for competitions like the Putnam exam. Participants share their opinions on various texts and approaches to problem-solving.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks recommendations for a problem-solving book that covers a wide range of topics.
  • Another participant suggests "How to Solve It" by Polya, emphasizing its focus on problem-solving strategies.
  • A different participant mentions that "How to Solve It" may not be appreciated by those who are not already familiar with the concepts it discusses.
  • Some participants express that the best way to learn problem-solving is through practice, rather than solely through reading.
  • One participant recommends Titu Andreescu, noting his credentials as a professor and coach of the US Maths team.
  • Another participant points to the website www.artofproblemsolving.com as a resource for a variety of problem-solving books, primarily aimed at high school students but also including some for undergraduates.

Areas of Agreement / Disagreement

Participants express differing views on the value of specific books and the best methods for learning problem-solving. There is no consensus on a single recommended book, and opinions vary on the prerequisites for appreciating certain texts.

Contextual Notes

Some participants imply that familiarity with certain mathematical topics may influence the effectiveness of the recommended books, but this is not explicitly defined. The discussion does not resolve which book is the best choice for all learners.

courtrigrad
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Anyone have any recommendations for a problem solving book (i.e. simple algebra word problems all the way up to Putnam)?

Thanks
 
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how to solve problems? (polya, how to solve it.) or a book of solved problems?
 
yeah, like how to solve problems. Thanks for your opinions/feedback.
 
Look up Titu Andreescu, he is my professor and the coach of US Maths team I believe.
 
I read 'How to Solve It'; it's a wonderful book, but you won't appreciate it unless you already know it, and hence have no need of it. The best way to learn to solve problems is by solving them, I think.
 
already know it? you mean the topics?
 
How to Solve It poses a bunch of ideas about how to go about solving problems. However, if you are a math major, you probably know most of the ideas covered, but still the book is a good read.
 
Check out www.artofproblemsolving.com

They have a pretty wide variety of books, mostly centred around problem solving. Although the books are more or less geared towards high school students, I'm pretty sure they have some for undergraduates (ie a putnam book, etc)
 

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