……TAOCP 的大部分内容、《具体数学》(Concrete Mathematics,一本书满满都是洛克哈特所说的那种在学数学时最理想的、发现模式的乐趣)、高德纳那本妙趣横生的小书《Selected Papers on Fun and Games》[2],还有他围绕康威惊艳的《超现实数》(Surreal Numbers)写的小说[3]……上次在本地(旧金山)美国数学协会联合年会上听他做关于“importunate permutation”的讲座……
…much of TAOCP, Concrete Mathematics (a book filled to the brim with the kind of delightful discovery of pattern that Lockhart describes as optimal in learning math), Knuth's marvelously playful book "Selected Papers on Fun and Games"[2], and the novel he wrote about Conway's astonishing "Surreal Numbers"[3]...listening to him lecture on "importunate permutation" at the last local (SF) Joint Meeting of the American Mathematical Association,…
……各种计算机科学主题的“信息洪流”(fire-hose)。但这套纯“论文集”形式的书,让你更容易把焦点放在狭窄得多的领域上。如果要挑不实用但好玩的,你或许可以从《Selected Papers on Fun and Games》入手。此外他还有像《Surreal Numbers》这样的书,通篇以一对夫妇发现数学记号并推导出整套系统的故事形式写成……
…fire-hose of various computer science topics. But the series of books that are simply "collected papers" makes it easy to focus on something much narrower. For impractical, you may want to start from Selected Papers on Fun and Games. And then he has books like Surreal Numbers, which is written as a story of a couple discovering mathematical notation and deriving a whole system...
……最优秀的作者之一,写作显然深植于高德纳的基因里——即便他身兼数职(数学家、程序员、计算机科学家、教师),一切的核心依然是写作。(他的《Selected Papers on Fun and Games》收录了他在高中和大学写的一些东西,甚至连那些文章都能看出他的精气神。)在我看来,他的每一页读起来都是一种享受。我觉得那些不以为然的人,问题可能在于他写得……
…one of the finest writers, and writing is clearly in Knuth's DNA — even among the many hats he has worn (mathematician, programmer, computer scientist, teacher), at heart of everything is writing. (His Selected Papers on Fun and Games includes some stuff he wrote in high school and college; even those show his spirit.) IMO, every page of his is a delight to read. I think the issue for those who find it otherwise may be that he writes…
……免得剧透谜题,但你稍微花点功夫就能在网上找到——也许这个能帮上忙:https://digitalcommons.butler.edu/cgi/viewcontent.cgi?articl... ——而且它也收录重印在《Selected Papers on Fun and Games》里了。)
…make it harder to spoil the puzzle, but you can find them online with a bit of effort — maybe this will help: https://digitalcommons.butler.edu/cgi/viewcontent.cgi?articl... — and it's also reprinted in Selected Papers on Fun and Games.)
另见:26岁的高德纳在1964年写的《仅用一个4表示数字》(Representing numbers using only one 4)(https://www.jstor.org/stable/2689238,后来重印为《Selected Papers on Fun and Games》第10章)——它只用单个数字4,以及三种运算:√x(平方根)、⌊x⌋(向下取整,即不大于该数的最大整数)和 x!(阶乘),最后以一个(至今仍未解决的)猜想结尾,讨论是否……
See also: "Representing numbers using only one 4" written by a 26-year-old Donald Knuth in 1964 (https://www.jstor.org/stable/2689238 reprinted as Chapter 10 of his Selected Papers on Fun and Games) — it uses the single digit 4, and the three operations √x (square root), ⌊x⌋ (floor, i.e. greater integer not greater than), and x! (factorial), and ends with a (still unsolved) conjecture about whether…
……TAOCP 的大部分内容、《具体数学》(Concrete Mathematics,一本书满满都是洛克哈特所说的那种在学数学时最理想的、发现模式的乐趣)、高德纳那本妙趣横生的小书《Selected Papers on Fun and Games》[2],还有他围绕康威惊艳的《超现实数》(Surreal Numbers)写的小说[3]……上次在本地(旧金山)美国数学协会联合年会上听他做关于“importunate permutation”的讲座……
…much of TAOCP, Concrete Mathematics (a book filled to the brim with the kind of delightful discovery of pattern that Lockhart describes as optimal in learning math), Knuth's marvelously playful book "Selected Papers on Fun and Games"[2], and the novel he wrote about Conway's astonishing "Surreal Numbers"[3]...listening to him lecture on "importunate permutation" at the last local (SF) Joint Meeting of the American Mathematical Association,…
……各种计算机科学主题的“信息洪流”(fire-hose)。但这套纯“论文集”形式的书,让你更容易把焦点放在狭窄得多的领域上。如果要挑不实用但好玩的,你或许可以从《Selected Papers on Fun and Games》入手。此外他还有像《Surreal Numbers》这样的书,通篇以一对夫妇发现数学记号并推导出整套系统的故事形式写成……
…fire-hose of various computer science topics. But the series of books that are simply "collected papers" makes it easy to focus on something much narrower. For impractical, you may want to start from Selected Papers on Fun and Games. And then he has books like Surreal Numbers, which is written as a story of a couple discovering mathematical notation and deriving a whole system...
……最优秀的作者之一,写作显然深植于高德纳的基因里——即便他身兼数职(数学家、程序员、计算机科学家、教师),一切的核心依然是写作。(他的《Selected Papers on Fun and Games》收录了他在高中和大学写的一些东西,甚至连那些文章都能看出他的精气神。)在我看来,他的每一页读起来都是一种享受。我觉得那些不以为然的人,问题可能在于他写得……
…one of the finest writers, and writing is clearly in Knuth's DNA — even among the many hats he has worn (mathematician, programmer, computer scientist, teacher), at heart of everything is writing. (His Selected Papers on Fun and Games includes some stuff he wrote in high school and college; even those show his spirit.) IMO, every page of his is a delight to read. I think the issue for those who find it otherwise may be that he writes…
……免得剧透谜题,但你稍微花点功夫就能在网上找到——也许这个能帮上忙:https://digitalcommons.butler.edu/cgi/viewcontent.cgi?articl... ——而且它也收录重印在《Selected Papers on Fun and Games》里了。)
…make it harder to spoil the puzzle, but you can find them online with a bit of effort — maybe this will help: https://digitalcommons.butler.edu/cgi/viewcontent.cgi?articl... — and it's also reprinted in Selected Papers on Fun and Games.)
另见:26岁的高德纳在1964年写的《仅用一个4表示数字》(Representing numbers using only one 4)(https://www.jstor.org/stable/2689238,后来重印为《Selected Papers on Fun and Games》第10章)——它只用单个数字4,以及三种运算:√x(平方根)、⌊x⌋(向下取整,即不大于该数的最大整数)和 x!(阶乘),最后以一个(至今仍未解决的)猜想结尾,讨论是否……
See also: "Representing numbers using only one 4" written by a 26-year-old Donald Knuth in 1964 (https://www.jstor.org/stable/2689238 reprinted as Chapter 10 of his Selected Papers on Fun and Games) — it uses the single digit 4, and the three operations √x (square root), ⌊x⌋ (floor, i.e. greater integer not greater than), and x! (factorial), and ends with a (still unsolved) conjecture about whether…
所链接文章里的这两个链接都失效了:“《Selected Papers on Fun & Games》第22章。(参见《音乐中的随机性》(Randomness in Music)。)”
Both these links are broken on the article that is linked: "Chapter 22 of Selected Papers on Fun & Games. (See “Randomness in Music”.)"