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. Polya's Problem Solving Techniques. In George Polya published the book How To Solve It which quickly became his most prized publication. It sold over. G. Polya, How to Solve It. UNDERSTANDING THE PROBLEM. First. You have to understand the problem. What is the unknown? DEVISING A PLAN. Second. Find the connection between the data and the unknown. CARRYING OUT THE PLAN. Third. Carry out your plan. Looking Back. Fourth. Examine the solution obtained.
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Where should I start? Start from the statement of the problem. What can I dot Visualize the problem as a whole as clearly and as vividly as you can. Do not concern yourself with details for the moment.
How To Solve It : George Polya : Free Download, Borrow, and Streaming : Internet Archive
how to solve it polya What can I gain by doing so? You should understand the problem, familiarize yourself with it, impress its purpose on your mind.
The attention bestowed on the problem may also stimulate your memory and prepare for the recollection of relevant points. It would be a mistake to think that how to solve it polya problems is a purely "intellectual affair"; determination and emotions play an important role.
Lukewarm determination and sleepy consent to do a little something may be enough for a routine problem in the classroom.
But, to solve a serious scientific problem, will power is needed that can outlast years of toil and bitter disappointments.
If you cannot solve the proposed problem do not let this failure afflict you too much but try to find consolation with some easier success, try to solve first some related problem; then you may find courage to attack your original problem again.
Do not forget that human superiority consists in going around an obstacle that cannot be overcome directly, in devising some suitable auxiliary problem when the original one appears insoluble.
The future mathematician should be a clever problem-solver: Going around an obstacle is what we do in solving any kind of problem: Do you understand all the words used in stating the problem? Do you need to ask a question to get the answer? The teacher is to select the question with the how to solve it polya level of difficulty for each student to ascertain if each student understands at their own level, moving up or down the list to prompt each student, until each one how to solve it polya respond with something constructive.
How To Solve It
You will find choosing a strategy increasingly easy. Here is a problem related to yours and solved before.
Could you use it? Could you use its result?
How to Solve It: A New Aspect of Mathematical Method
Could you use its method? Should you introduce some auxiliary element in order to make its use possible? Could you restate the problem? Could you restate it still differently? Go back to definitions.
If you cannot solve the proposed problem try to solve first some related problem. Could you imagine a more accessible related problem? A more general problem?
A more special problem?
Could you solve a part of the problem?