爱与数学

原文摘录   · · · · · ·  ( 全部 )

• This is really a question about the nature of mathematical insight. The ability to see patterns and connections that no one had seen before does not come easily. It is usually the product of months, if not years, of hard work. Little by little, the inkling of a new phenomenon or a theory emerges, and at first you don’t believe it yourself. But then you say: “what if it’s true?” You try to test the idea by doing sample calculations. Sometimes these calculations are hard, and you have to navigate through mountains of heavy formulas. The probability of making a mistake is very high, and if it does not work at first, you try to redo it, over and over again. More often than not, at the end of the day (or a month, or a year), you realize that your initial idea was wrong, and you have to try some... (查看原文)

  Zeitgeber 2014-02-07 13:46:20

• Mathematical concepts populate the Kingdom of Mathematics, just like species of animals populating the Animal Kingdom: they are linked to each other, form families and subfamilies, and often two different concepts mate and produce an offspring. (查看原文)

  Zeitgeber 2014-02-10 05:22:53

> 全部原文摘录