李特伍德杂记
Littlewood's Miscellany
John E. Littlewood · 初版 1953 年
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“Littlewood's Miscellany 汇集了大部分早前作品，以及 Littlewood 教授在 A Mathematician's Miscellany 出版后收集的诸多资料，使我们得以透过剑桥最伟大的泰斗之一的视野，领略剑桥、尤其是 Trinity College 的学术生活。Littlewood 教授在生活和数学中发现的乐趣，尽数体现在描写同代人的诸多趣闻轶事中，文笔辛辣犀利、句句箴言。普通读者在大多数情况下，理解书中的数学段落均毫无困难”——出版方说明
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……欧几里得关于素数无限性的证明）他对数学的“重要性”、“有用性”以及纯数学与应用数学之间区别的看法。将《Apology》（一个数学家的辩白）与《Littlewood's Miscellany》（李特尔伍德杂集）作对比很有意思（我推荐剑桥大学出版社的版本，里面收录了短文《The Mathematician's Art of Work》——ISBN 0-521-33702-X）。这本书里的数学内容比《Apology》更多，而且有很多轶事。J. E. Littlewood……
…Euclid's proof of the infinitude of the primes) his feelings about the "importance" of math, its "usefulness", and the distinction between pure and applied math. It's interesting to compare "Apology" to "Littlewood's Miscellany" (I recommend the Cambridge University Press version, which contains the essay "The Mathematician's Art of Work" - ISBN 0-521-33702-X). There is more math than in "Apology" and many anecdotes. J. E. Littlewood…
……哪怕是次要的想法；如果可能的话，我通常会把它推迟到工作一段时间之后。” [2] [1] 雅克·阿达马，《数学领域的发明心理学》（第 12-13 页）[2] J. E. Littlewood，《Littlewood's Miscellany》（第 192 页）[顺便说一句，非常棒的一本书！]
…of minor idea; I used to postpone it, when possible, till after a period of work." [2] [1] Jacques Hadamard, "The Psychology of Invention in the Mathematical Field" (p. 12--13) [2] J. E. Littlewood, "Littlewood's Miscellany" (p. 192) [A wonderful book, by the way!]
……数学界也有人说四小时就是极限了；随手搜了一下就找到了这个例子，比如 https://theweek.com/articles/696644/why-should-work-4-hours-.... 供参考。同样广为人知的还有《Littlewood's Miscellany》的头两段，https://www.gwern.net/docs/math/1986-littlewood-littlewoodsm...，第 189 页。
…in math who also say four is the limit; a quick google found this for example https://theweek.com/articles/696644/why-should-work-4-hours-.... FWIW. Also well-konwn are the first two paragraphs of Littlewood's Miscellany, https://www.gwern.net/docs/math/1986-littlewood-littlewoodsm..., p 189.
我最早是在 D.E. Littlewood 的书《Littlewood's Miscellany》里读到大约 4 小时工作上限这个说法的。他建议“每天四小时，最多五小时，大概每小时休息一下（也许散散步）”。从那以后我常读到名人们顺带提及这一点，但我一直没真正试着去用……
I first read about the ~4 hour limit from D.E. Littlewood's book, Littlewood's Miscellany. He recommends "four hours a day or at most five, with breaks about every hour (for walks perhaps)." Since then I've read of luminaries mentioning this in passing, but I haven't really tried to employ…
……某个旷日持久猜想的反例？我知道这描述很模糊（委婉地说），但这都是二十多年前大学数学课上的事了。编辑——哈哈，找到了！就在《Littlewood's Miscellany》里的皮卡定理（Picard's Theorem）那部分 [1]。[1] https://books.google.ch/books?id=MjVgeT7Laf8C&pg=PA40&lpg=PA...
…counter-example for some long-standing conjecture? I realize it's vague (to put it mildly), but it was 20-something years since it came up in the math class in the Uni. Edit - Haha, found it! It was in Littlewood's Miscellany - Picard's Theorem [1]. [1] https://books.google.ch/books?id=MjVgeT7Laf8C&pg=PA40&lpg=PA...
……“尽可能小”，结果那段文字不见了，取而代之的是一个非常非常微小的西格玛（sigma）。除非他完全在扯谎，我觉得这事儿真发生过！[1] 较新的版本书名是《Littlewood's Miscellany》；我相当肯定新旧版本里都有这个故事。
…as small as possible", and that bit was absent but there was in its place a very very tiny sigma. Unless he's outright lying, I think this one actually happened! [1] The more recent edition is titled "Littlewood's Miscellany"; I am fairly sure this story is in both the older and the newer version.