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How To Solve It A New Aspect of Mathematical Method, by G. Polya
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- Sales Rank: #3478882 in Books
- Published on: 1945
- Binding: Hardcover
Most helpful customer reviews
145 of 150 people found the following review helpful.
A Classic for Problem-Solvers
By Phil
I found Pollya's "heuristic" approach to problem-solving applicable to both mathematical and non-mathematical problems. The goal of the heuristic approach is to study (and use!) the methods and rules of discovery and invention.
Here are just some of the questions that Pollya teaches as tools:
1. What is the unknown? What is the data? What conditions does the solution need to satisfy?
2. Do you know a related problem? Look at the unknown and try to think of a familiar problem having the same or a similar unknown.
3. Can you restate the problem? Can you solve a part of the problem.
4. Can you think of other data appropriate to determine the unknown?
5. Can you check the result?
6. Can you look back and use the result or the method for some other problem?
Overall, the author provides a systematic way to creatively solve problems. This volume has withstood the test of time for nearly 50 years. I recommend it highly.
1 of 1 people found the following review helpful.
To appreciate and enjoy this book you need to have enough math training to follow fairly advanced examples.
By david mac ewen
Some parts of the book are interesting but other parts become tedious if your mathematics background is not fairly extensive. I would not recommend this book to anyone not possessing a strong mathematics background. The examples are far too long and esoteric. It held my interest until the problems became too advanced for me to follow and find interesting. I'm afraid that I really got left behind as the examples became more and more advanced. I strongly suspect however, that a mathematician and especially one who teaches will love this book.
0 of 0 people found the following review helpful.
This is a great book
By Tim
This book contains so many observations from the before the 21 century. Polya gave me the excitement I needed to be reminded how a university worked before the internet. I was introduced to several ancient and modern ideas that enhanced my understanding. I learned to solve problems by studying computer science. Polya introduced me to the preoccupation of ancient mathematicians and philosophers. They desired to make a science for solving problems and to create a taxonomy for different problem types. James Stewart lead me to this book.This is a great book.
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