
一个数学家的辩白
A mathematician's apology
G. H. Hardy · 初版 1940 年
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为什么值得读
- 文笔机智敏锐又带有动人的感伤
- 展现数学家哈代与拉马努金的深厚情谊
- 通俗易懂,非数学专业读者也能轻松阅读
G. H. Hardy 是本世纪最杰出的数学思想家之一,在同代人中被誉为“真正的数学家……最纯粹之中的纯粹”。他同时也是一位(正如 C. P. Snow 在 1967 年版 Foreword 中所记述的)“非传统、古怪、激进且对任何话题都畅所欲言的人”。这部写于 1940 年他数学能力日渐衰退之际的“apology”,生动且精彩地阐述了数学远不止是一门科学;该书初版面世时,Graham Greene 将其与 Henry James 的笔记本并列赞誉为“展现成为一位创造者是何种体验的最佳著述
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……数学究竟是什么(或者上学时的那些有害观念是否依然让你对纯数学朴素的美视而不见)。我还强烈建议你读一读 G·H·哈代(G.H. Hardy)的随笔《一个数学家的辩白》(A Mathematician's Apology)。对新手来说学习数学实在太难了,因为这种思维过程几乎是无法传授的。人必须一次又一次地经历失败。坦白讲:数学很可能会是……
…mathematics is (or if deleterious notions from your schooldays are continuing to blind you from the simple beauty of pure mathematics). I will add as well the recommendation that you read G.H. Hardy's essay, "A Mathematician's Apology". Learning mathematics is so incredibly difficult for the novice because it is almost impossible to teach this process. One must fail over and over again. I cannot lie: mathematics will be probably be…
我刚读完了《一个数学家的辩白》(A Mathematician's Apology)。非常有意思,它真的很能帮人把黑塞的《玻璃球游戏》放到具体的背景下去理解。
I just read A Mathematician's Apology. Really interesting, it really puts Hesse's Glass Bead Game in context.
《一个数学家的辩白》(A Mathematician's Apology)是一部极其优美的作品,不论从字面意思还是从随笔本身阐发的美学维度来看都是如此。这篇随笔在当下意义的一个有趣之处,在于审美观念可能发生的变化……
A Mathematician's Apology is a beautiful read, by definitions both plain and, to some degree, those elaborated in the essay itself. One interesting thing about the relevancy of the essay is the potential change in the aesthetics…
这让我想起 C·P·斯诺(C P Snow)为 G·H·哈代那篇优美之作《一个数学家的辩白》所写的评语:只要带着它应得的专注去研读文本,《一个数学家的辩白》就是一本弥漫着萦绕不去的哀伤的书。没错,它既机智又犀利,带着智识上的昂扬意气;是的,那宛如水晶般晶莹剔透的……
I am reminded of what C P Snow wrote about the beautiful piece of writing called "A Mathematician's Apology" by G H Hardy: A mathematicians apology is, if read with the textual attention it deserves, a book of haunting sadness. Yes, it is witty and sharp with intellectual high spirits: yes, the crystalline…
我上个月读了 G·H·哈代的《一个数学家的辩白》,非常喜欢哈代和拉马努金之间的神仙友谊。(顺便说一句,真是本好书——就算非数学专业的人读起来也毫无压力)
I read GH Hardy's A Mathematician's Apology last month and adored the relationship Hardy and Ramanujan had. (great book by the way - easy to read for even a non math person)
在更高的心境下,你做事纯粹是为了做而做,或是为了某种内在的愉悦,甚至完全没有任何目的。G·H·哈代在《一个数学家的辩白》里对此做了最好的诠释,他阐述了数学家为什么研究数学。他提到,作为一名数学家,他从未关心过自己工作的实用价值。事实上,他刻意回避了任何他认为在好几个世纪之后可能会有些许用处的东西。……
At higher state of mind you do things for sack of doing or some intrinsic pleasure or even no purpose at all. G.H Hardy puts this best in his book Mathematician's Apology by describing why mathematicians do math. He mentioned, as a mathematician, he never cared about utility of its work. In fact he avoided anything that he thought could be remotely useful after many centuries.…