Four Principles
How to Solve It suggests the following steps when solving a mathematical problem:
- First, you have to understand the problem.
- After understanding, then make a plan.
- Carry out the plan.
- Look back on your work. How could it be better?
If this technique fails, Pólya advises: "If you can't solve a problem, then there is an easier problem you can solve: find it." Or: "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
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Famous quotes containing the word principles:
“Now there cannot be first principles for men, unless the Divinity has revealed them; all the restbeginning, middle, and endis nothing but dreams and smoke.”
—Michel de Montaigne (15331592)
“Though the ancients were ignorant of the principles of Christianity there were in them the germs of its spirit.”
—Herman Melville (18191891)
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