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Mathematics is the cheapest science. Unlike physics or chemistry, it does not require any expensive equipment. All one needs for mathematics is a pencil and paper.
George Polya -
In order to solve this differential equation you look at it until a solution occurs to you.
George Polya
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If there is a problem you can't solve, then there is an easier problem you can't solve: find it.
George Polya -
An idea which can be used only once is a trick. If one can use it more than once it becomes a method.
George Polya -
The result of the mathematician's creative work is demonstrative reasoning, a proof; but the proof is discovered by plausible reasoning, by guessing.
George Polya -
Beauty in mathematics is seeing the truth without effort.
George Polya -
It is better to solve one problem five different ways, than to solve five problems one way.
George Polya -
Mathematics is not a spectator sport!
George Polya