星期四, 三月 26, 2009

[Readings]Quotations by George Pólya

下午在编程的时候卡住了,想着要提高工程能力怎么就这么难。(背景音乐:崔健大哥《不是我不明白》:“不是我不明白,这世界变化快。”)于是反思是不是自己的方法有问题。画点时间从wikipedia找答案:Problem Solving. 看到好玩的Quotations by George Pólya

"In order to solve this differential equation you look at it till a solution occurs to you."
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The first rule of discovery is to have brains and good luck. The second rule of discovery is to sit tight and wait till you get a bright idea.
Show me the Luck~~~~~~~~~~~~~

There are many questions which fools can ask that wise men cannot answer.
Quoted in H Eves Return to Mathematical Circles (Boston 1988).
所以,如果不知道有些问题的答案,嗯,没关系�(�_�)�

A mathematician who can only generalise is like a monkey who can only climb up a tree, and a mathematician who can only specialise is like a monkey who can only climb down a tree. In fact neither the up monkey nor the down monkey is a viable creature. A real monkey must find food and escape his enemies and so must be able to incessantly climb up and down. A real mathematician must be able to generalise and specialise.
Quoted in D MacHale, Comic Sections (Dublin 1993)
  /~\   /~\
 C oo  C oo
 _( ^) _( ^)
/   ~\ /   ~\
          __
     w  c(..)o
      \__(-)
          /\
       w_/(_)
           /|
          | \
         m  m

John von Neumann was the only student I was ever afraid of.

I am too good for philosophy and not good enough for physics. Mathematics is in between.

To teach effectively a teacher must develop a feeling for his subject; he cannot make his students sense its vitality if he does not sense it himself. He cannot share his enthusiasm when he has no enthusiasm to share. how he makes his point may be as important as the point he makes; he must personally feel it to be important.
--Mathematical discovery (New York, 1981).

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