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Aha! Insight
Martin Gardner · 初版 1978 年
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收录了让解题爱好者先感困惑后觉畅快的益智谜题。源于Bob Tappay与Martin Gardner为使数学学习更加生动有趣而展开的合作。
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Aha! Insight
Martin Gardner · 初版 1978 年
收录了让解题爱好者先感困惑后觉畅快的益智谜题。源于Bob Tappay与Martin Gardner为使数学学习更加生动有趣而展开的合作。
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如果有人想找个切入点来了解加德纳那海量的作品，我强烈推荐《Aha! Insight》。
If anyone is looking for a starting point to Gardner's vast works, I highly recommend "Aha! Insight."
这跟其他回答不太一样，但确实能回答你的问题：小时候我有大把的数学和逻辑谜题书。我记得特别清楚的两本是马丁·加德纳的《Aha! Insight》和《Aha! Gotcha》。几十年后，当我在工作中遇到数学问题时，我似乎拥有一种异于常人的直击本质的能力（“根据对称性，必定有 X”或者“观察……
This is different from the other answers, but it does answer your question: When I was a kid I had tons of math and logic puzzle books. Two I remember specifically are "Aha! Insight" and "Aha! Gotcha" by Martin Gardner. Decades later, when a math problem comes up in my work, I have an apparently unusual ability to cut to the heart of it ("by symmetry, we must have X" or "looking…
我最喜欢的加德纳的书——也是了解他那种举重若轻的数学入门方式的绝佳之作——就是《Aha! Insight》[1] 和《Aha! Gotcha》这一对。这大概是他写过的最不严谨的作品了，但极其好玩，而且讲的题材依然很有意思（换句话说，特别适合小孩子）。如果你想看篇幅更长或者……
My favorite books by Gardner, and these are great introductions to his lighthearted approach to math, are the pair Aha! Insight [1] and Aha! Gotcha. These are probably the least rigorous works he made, but extremely fun and still tackle interesting subjects (in other words, great for kids). If you want something longer form or…
其实两本都有，但我首先想到的特别是《Aha Insight!》那本，里面大概有 100 道不同的题，只要巧妙地转动一下思维/把题目换个角度看就能解出来。另一本（《Aha Gotcha》）你说得对，更多是关于悖论的，那些……
Actually both books, but I was particularly thinking first of the "Aha Insight!" book, which has like 100 different problems where some clever thinking/turning around the problem statement helps to solve it. The other one ("Aha Gotcha"), you are right is more about paradoxes that…
你朋友看的是马丁·加德纳的《Aha! Insight》，里面刚好就有这个证明，这本书在年轻的数学谜题爱好者圈子里很火。
Your friend read Martin Gardner's aha! Insight, which has exactly this proof in it and is a popular book for young mathematical puzzle enthusiasts.
我脑海里浮现的参考是几十年前马丁·加德纳《Aha! Insight》书里的东西——就是把像《大英百科全书》这样的内容编码成一长串比特流，然后把它转换成一个小数……并在……上极其精准地划下一道刻痕。
The reference that comes to mind for me is something out of one of Martin Gardner's _Aha! Insight_ books from decades ago -- the idea of encoding something like the Encyclopedia Britannica into one big long bitstring, then converting it into a fraction... and putting one single very careful mark on…