《论数与博弈》封面

论数与博弈

On numbers and games

John Horton Conway · 初版 1976 年

15人推荐
19位读者提及
28次提及

为什么值得读

  • 超现实数概念的原创奠基之作
  • 深入探讨无穷大与博弈论的数学本质
  • 常在硬核游戏与RPG系统设计中被引申讨论

“通过将数定义为特定博弈中局面的优劣程度,作者提出了一个全新的数类——超现实数(surreal numbers),它既包含了实数也包含了序数。这些超现实数被应用于作者对博弈策略的数学分析之中。”——封面。

Hacker News 上怎么说

  • …把自己学到的东西分享给别人。别人分享时也虚心学习。我想往你的书单里加几本书:W. T. Tufte 的《Graph Theory》:http://www.chapters.indigo.ca/en-ca/books/product/9780521794...;John H. Conway 的《On Numbers and Games》:http://www.amazon.com/On-Numbers-Games-John-Conway/dp/156881...;还有一本重新入门几何学及其在计算机图形学中实际应用的好书:http://www.amazon.com/Primer-Graphics-Development-Wordware-L...…

    …Share with others what you learn. Learn from others when they share it. I'd add a few of books to your list: Graph Theory by W. T. Tufte: http://www.chapters.indigo.ca/en-ca/books/product/9780521794... On Numbers and Games by John H. Conway: http://www.amazon.com/On-Numbers-Games-John-Conway/dp/156881... And for good re-introduction to geometry and it's practical application to computer graphics: http://www.amazon.com/Primer-Graphics-Development-Wordware-L...…

  • John Conway 的《On Numbers and Games》对无穷概念的梳理非常棒。而且既然是讲游戏的,拿来教小孩子也很合适!

    John Conway's On Numbers and Games has a great overview of infinities. And since it's about games it'll be great for teaching kids too!

  • …Knuth(没错,就是那个 Knuth,不是重名的别人)在 70 年代写过一本挺有意思的半虚构小说。我觉得那书挺好玩的,不像《TAOCP》那么硬核。Conway 也是 ONAG(《On Numbers And Games》)的作者。你在严肃讨论博弈论、比如电脑游戏设计或 RPG 系统设计时,大概率会碰到这个缩写。这是一本相当硬核的书。凭记忆看,属于那种“100 块钱买 50…

    …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 of ONAG. On Numbers And Games. You'll probably run into that acronym in serious discussion about game theory, like computer game design or RPG system design. Its a pretty intense book. From memory its one of those "$50 for 100…

  • 我脑子在搞“十大”之类盘点时完全不够用。不过这里有几个类目里的神书。数学类:John Conway 的《On Numbers and Games》。(如果你碰巧见过“超现实数”(surreal numbers)这个词,这本书就是出处。写得绝美,但如果你不是正经数学家,读起来会非常吃力。)David MacKay 的《Information Theory, Inference,…

    My brain is absolutely hopeless at top-10-like things. But here are a few gems from some of those categories. Mathematics: John Conway's "On Numbers and Games". (If you've run across the term "surreal numbers", this is the original source. Absolutely gorgeous, but heavy going if you aren't actually a mathematician.) David McKay's "Information theory, inference,…

  • 当然你随时可以用 Conway 的超现实数(surreal numbers,http://en.wikipedia.org/wiki/Surreal_number)。我只能墙裂推荐读读他的书《On Numbers and Games》:“《On Numbers and Games》是 John Horton Conway 写的一本数学书。这是一本严肃的数学专著,出自一位杰出数学家之手,面向的也是其他数学家同行。书里的内容…

    Of course you can always use Conway's surreal numbers (http://en.wikipedia.org/wiki/Surreal_number). I can only recommend reading his book 'On Numbers and Games': "On Numbers and Games is a mathematics book by John Horton Conway. The book is a serious mathematics book, written by a preeminent mathematician, and is directed at other mathematicians. The material…

  • …True *Game> half * 1 == half True *Game> half * (one + one) > 1 False 最好的学习资料全都是 Conway 写的:《Winning Ways for your Mathematical Plays》(WW)和《On Numbers and Games》(ONAG)。WW 更通俗好读,用游戏来引导你认识数;而 ONAG 则是更硬核的数学书,用数来解释游戏。如果你数学底子不是特别扎实,WW 可能会更…

    …True *Game> half * 1 == half True *Game> half * (one + one) > 1 False The best resources for learning are both by Conway: "Winning Ways for your Mathematical Plays" (WW) and "On Numbers and Games" (ONAG). WW is more accessible and introduces you to numbers via games, whereas ONAG is more of a hard-core math book that explains games via numbers. WW is probably better if you don't have a strong…

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