Another trivia point is he's the inventor of surreal numbers, which Knuth (yeah, that Knuth not some other Knuth) wrote an enjoyable little semi-fictional novel about in the 70s. I thought it was a fun book, its not intense like TAOCP. Conway's also the author…
你可能会觉得高德纳写的《超现实数:两个前学生如何迷上纯数学并找到彻底的快乐》(Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness, 1974, ISBN 0-201-03812-9)挺有意思。没错,就是那个高德纳。我有一二十年没读过了,但那本书挺有趣的,而且……
You might get a kick out of "Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness, 1974, ISBN 0-201-03812-9." by Knuth. Yeah, that Knuth. I haven't read it in a decade or two but it was enjoyable and on…
What no love for Knuth's Surreal numbers? https://cs.stanford.edu/~knuth/sn.html I think if you're not into sci fi, you've discovered what most call the distinction between hard and soft sci fi. Soft sci fi is the usual boring eternal "human…
Then John H. Conway's Surreal Numbers might be of interest to you. Donald Knuth wrote a book about the subject and it's actually in the form of a story with dialogue, not your typical math book. I'll attempt a summary. It is possible to…
……史蒂芬·利维的《黑客》(Hackers,尽管它可能存在争议)和威廉·邓纳姆的《天才引导的历程》(Journey Through Genius)。它们带我进行了更深入的探索,引申出其他书籍,帮我从时间线视角扎实了认知。- 唐纳德·高德纳的《超现实数》(Surreal Numbers),一本关于康威超现实数的“虚构”小说。我的天,这彻底刷新了你对‘数’的认知。- 侯世达的《集异璧》(GEB),别人推荐的,绝对是一本让人脑洞大开的……
…Hackers by Stephen Levy (problematic as it may be) and Journey Through Genius by William Dunham. They led me into deeper dives and other books which rooted my knowledge in some chronological perspective. - Surreal Numbers by Donald Knuth, a “fiction” book about Conway’s surreal numbers. Holy cow, this shifts your perspective on what a number can be. - Godel Escher Bach by Hofstadter, recommended by others, as a mind bending…
…leave it in? To really get some feeling for the content of the text, it seems to be really essential that the reader explores the content a bit herself. This is illustrated quite well in Don Knuth's "Surreal Numbers". Knowing this is probably the key to learning to read mathematics. One can try to write all this out, but that will make the text harder to read for the mathematician, who now has to find the important…
另一个冷知识是,他是超现实数(surreal numbers)的发明者,高德纳(Knuth,对,就是那个高德纳,不是重名的别人)在70年代就此写过一本很有意思的半虚构小说。我觉得那本书很好玩,不像 TAOCP 那么硬核。康威也是……的作者
Another trivia point is he's the inventor of surreal numbers, which Knuth (yeah, that Knuth not some other Knuth) wrote an enjoyable little semi-fictional novel about in the 70s. I thought it was a fun book, its not intense like TAOCP. Conway's also the author…
你可能会觉得高德纳写的《超现实数:两个前学生如何迷上纯数学并找到彻底的快乐》(Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness, 1974, ISBN 0-201-03812-9)挺有意思。没错,就是那个高德纳。我有一二十年没读过了,但那本书挺有趣的,而且……
You might get a kick out of "Surreal Numbers: How Two Ex-Students Turned on to Pure Mathematics and Found Total Happiness, 1974, ISBN 0-201-03812-9." by Knuth. Yeah, that Knuth. I haven't read it in a decade or two but it was enjoyable and on…
怎么没人提高德纳的《超现实数》(Surreal numbers)呢?https://cs.stanford.edu/~knuth/sn.html 我觉得如果你不太感冒科幻,那你算是发现了大家常说的硬科幻和软科幻的区别。软科幻往往就是那些老套无聊、永恒不变的“人性……”
What no love for Knuth's Surreal numbers? https://cs.stanford.edu/~knuth/sn.html I think if you're not into sci fi, you've discovered what most call the distinction between hard and soft sci fi. Soft sci fi is the usual boring eternal "human…
那约翰·H·康威的超现实数(Surreal Numbers)你可能会感兴趣。唐纳德·高德纳(Donald Knuth)写过一本关于这个主题的书,实际上是用带对话的故事形式写的,不是那种典型的数学书。我试着概括一下。完全有可能……
Then John H. Conway's Surreal Numbers might be of interest to you. Donald Knuth wrote a book about the subject and it's actually in the form of a story with dialogue, not your typical math book. I'll attempt a summary. It is possible to…
……史蒂芬·利维的《黑客》(Hackers,尽管它可能存在争议)和威廉·邓纳姆的《天才引导的历程》(Journey Through Genius)。它们带我进行了更深入的探索,引申出其他书籍,帮我从时间线视角扎实了认知。- 唐纳德·高德纳的《超现实数》(Surreal Numbers),一本关于康威超现实数的“虚构”小说。我的天,这彻底刷新了你对‘数’的认知。- 侯世达的《集异璧》(GEB),别人推荐的,绝对是一本让人脑洞大开的……
…Hackers by Stephen Levy (problematic as it may be) and Journey Through Genius by William Dunham. They led me into deeper dives and other books which rooted my knowledge in some chronological perspective. - Surreal Numbers by Donald Knuth, a “fiction” book about Conway’s surreal numbers. Holy cow, this shifts your perspective on what a number can be. - Godel Escher Bach by Hofstadter, recommended by others, as a mind bending…
……留着吗?为了真正体会文本的内容,读者亲自去探索一番似乎是必不可少的。唐·高德纳的《超现实数》(Surreal Numbers)就很好地说明了这一点。明白这个道理,大概是学会读懂数学的关键所在。你可以试着把这一切都写出来,但这会让数学家读起来更费劲,因为他们必须从中挑出重要的……
…leave it in? To really get some feeling for the content of the text, it seems to be really essential that the reader explores the content a bit herself. This is illustrated quite well in Don Knuth's "Surreal Numbers". Knowing this is probably the key to learning to read mathematics. One can try to write all this out, but that will make the text harder to read for the mathematician, who now has to find the important…