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How to Solve It
by G. Polya


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Edition: Paperback
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Product Details
  • Paperback: 224 pages ; Dimensions (in inches): 0.61 x 8.00 x 5.18
  • Publisher: Princeton University Press; Reissue edition (November 1, 1971)
  • ISBN: 0691023565
  • Other Editions: Hardcover (Reissue) | Paperback | All Editions
  • Average Customer Review: 4.5 out of 5 stars Based on 19 reviews.
  • Amazon.com Sales Rank: 5,306
    (Publishers and authors: improve your sales)


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Editorial Reviews

Review
Any young person seeking a career in the sciences would do well to ponder this important contribution to the teacher's art.



Review
Any young person seeking a career in the sciences would do well to ponder this important contribution to the teacher's art.



Book Description
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.

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 "reasoned" 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.



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All Customer Reviews
Average Customer Review: 4.5 out of 5 stars
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4 of 4 people found the following review helpful:

5 out of 5 stars Buy it!, April 27, 2004
Reviewer:   Manish (NJ, USA) - See all my reviews
The issue is that solving problems is not made interesting and fulfilling experience.

This book beautifully explains the process of problem-solving. It starts from simple problems, lays down the fundamentals and leads to more complex problems.

One of the gems is the simple formula:
1. Understand the problem
2. Devise a plan (seeing how various items connect
3. Carry out the plan
4. Look back at the completed solution, review and discuss it.

It is also a good reference to teach kids how to approach problems.

Buy it and it will be a very handy reference.

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2 of 2 people found the following review helpful:

5 out of 5 stars Very helpful to my programming work, December 31, 2003
Reviewer:   Leo Cobar Lim (Cebu, Philippines) - See all my reviews
  
Polya prescribes different forms to approaching a problem through some guide questions that a solver should ask ("Is there a related problem"). The exposition is quite short, majority of the book is devoted to a glossary of heuristic terms which prove very helpful. Polya uses common problems in high school geometry to demonstrate his point which make it easily understandable.

I'm glad I have discovered an excellent book on problem solving which would prove indispensable in my programming career. Other programming books mainly demonstrate features of an OS or a computer language but this book goes into the heart of the computer science which is problem solving.

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13 of 16 people found the following review helpful:

4 out of 5 stars For math thinkers maybe, July 19, 2003
Reviewer:   Amol Sarva (Little Neck, NY United States) - See all my reviews
There seems to be a cultish following for Polya's book, so I decided to pick it up even though I'm not a mathematician. I'm a philosophy PhD with an interest in "business strategy" (as they call it). The book's a little bit tough to move through, since he chose to write it as a glossary for the bulk of the text. That makes it boring. The more fundamental issue of course is that he's thinking about math when he gives his ideas for solving problems, and more specifically about TEACHING kids to solve math problems. Now, this is useful. And the general tenor is applicable to all kinds of problem solving. But I think it's not the holy grail it's meant to be -- there are other books on problem solving that make more practical sense if you are working on non-formal mathematical puzzles.

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7 of 8 people found the following review helpful:

4 out of 5 stars Getting to Eureka, January 2, 2003
Reviewer:   Jack Vaughan (Boston, MA United States) - See all my reviews
  
How does a teacher go about teaching? It is a hard trick. Written and published in the `40s, and then again subsequently Polya's "How to Solve It" is an attempt to describe the general paths to the student's Eureka! moments. As such it is also of interest to those who go about the task of discovery, and you must constantly rethink their strategies, in the face of a stubborn unknown.

Polya's consideration of the Various Approaches to problem solving hangs on several key structural bands that take the forms of a teacher's questions: Do you know any related problem? Do you know an analogous problem? [Parallelograms are considered.] Here is a problem related to yours and solved before. Can you use it? Should you introduce some auxiliary element in order to make its use possible?

These ring true to this recently mustered parental pedantic.

Polya's actual treatise is just 30 pages; the associated `dictionary' definitions section is quite extended, actually, making up some 200 pages. He describes going back to first principles in problem solving. January 1, 2003 is a day perhaps to remember such back tracking is sometimes in order.

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