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How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)

How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library)
Author: G. Polya
Publisher: Princeton University Press
Category: Book

List Price: $17.95
Buy New: $11.00
You Save: $6.95 (39%)



New (38) Used (16) from $9.99

Avg. Customer Rating: 4.5 out of 5 stars 32 reviews
Sales Rank: 17341

Media: Paperback
Number Of Items: 1
Pages: 288
Shipping Weight (lbs): 0.6
Dimensions (in): 8 x 5.1 x 0.5

ISBN: 069111966X
Dewey Decimal Number: 513
EAN: 9780691119663
ASIN: 069111966X

Publication Date: April 5, 2004
Availability: Usually ships in 1-2 business days

Also Available In:

  • Paperback - How to Solve it: A New Aspect of Mathematical Method (Penguin science)
  • Paperback - How to Solve It: A New Aspect of Mathematical Method
  • Hardcover - How to Solve It: A New Aspect of Mathematical Method
  • Unknown Binding - How to solve it;: A new aspect of mathematical method (Doubleday anchor books)
  • Unknown Binding - How to solve it;: A new aspect of mathematical method,
  • Unknown Binding - How to solve it;: A new aspect of mathematical method

Similar Items:

  • Mathematics and Plausible Reasoning (Volume I)
  • What Is Mathematics? An Elementary Approach to Ideas and Methods
  • Concepts of Modern Mathematics
  • How to Prove It: A Structured Approach
  • Journey through Genius: The Great Theorems of Mathematics

Editorial Reviews:

Product 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.


Customer Reviews:   Read 27 more reviews...

5 out of 5 stars Excellent book and recommended reading for anybody   October 31, 2008
 1 out of 1 found this review helpful

If you are a student, this book is for you. If you are into self-betterment, then this book is for you. Basically, if you want to learn how to think about problems and potential solutions, then this is for you.

Clearly written albeit math-oriented.



5 out of 5 stars How To Solve It, Polya   July 14, 2008
 1 out of 1 found this review helpful

Very interesting book on how to solve problems, which can be applied to both mathematical and real-life problems. It contains general themes of problem-solving, attitudes one should have towards problems, and detailed methods of how to go about solving problems. It also discusses the optimal teacher-student relationship in the context of problem-solving.


5 out of 5 stars Problem Solving Methods - Excellent Book on Heuristics   June 22, 2008
 1 out of 1 found this review helpful

Every teacher and parent should read this book. Every person interested in problem solving should also read it.

This book is not just about mathematical methods, mathematical problem solving, or teaching mathematics. It is about solving problems. It presents concrete methods (or heuristics) and illustrates by guiding the reader using these methods through clear and cogent examples.

The problem solving insight this book provides is extremely useful. It is about how to go about solving a problem. There are many different ways to approach a difficult problem and often in complex problem solving one does not know where to begin to even think about the problem.

I recall Andrew Wiles, the mathematician who proved Fermat's Last Theorem (a very famous, long-lasting, and seemingly unproven theorem - unproven for centuries), discussed how during his initial work on the problem, work which ultimately took Wiles about seven years to figure out how to prove, and then to go ahead and prove the theorem, had to study problem solving methodologies just to know how to approach the problem. He needed to learn how to attack the problem - where to begin.

This book is great for learning the different approaches to problem solving. One method discussed in detail is to work similar problems or simpler problems that are similar to the main problem. This allows one to start gauge the issues surrounding the problem and the assist the mind in thinking about the problem and its boundaries.

Anyone interested in becoming a better problem solver, a better teacher, or a parent trying to teach or help their children learn mathematics or science (or to help them with their homework - but to do so by teaching advanced problem solving methods implicitly), then this book is for you. It is not a difficult book and you do not have to be an expert in mathematics or mathematically inclined.



5 out of 5 stars Not just for academics   February 25, 2008
There is a reason that this book has been in print for decades. It should be required reading for teachers, students, and anybody interested in thinking. Problem-solving is a useful skill that can be learned. Polya does the teaching.


3 out of 5 stars Actually tried it   October 28, 2007
 12 out of 21 found this review helpful

I actually tried the techniques in this book while taking freshman physics at Harvard. They weren't all that helpful. I remember it sounding good, but being fairly useless when it came to attacking challenging textbook and recitation problems (which are a far cry from actual scientific questions). What I eventually learned was that the key to such so-called "problems" is to understand the problem writers and the choices they make. Polya operates in some idealistic and trivial world, as if being methodical were sufficient to win that game. People who find this book helpful may feel unprepared when they step it up a notch.




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