供工作数学家使用的范畴论

Hacker News 上怎么说

• ihm · 2015 年

  Lawvere和Schanuel写的那本绝赞的《Conceptual Mathematics》有很多习题，而且书写得超级平易近人，同时干货满满（全是生动的例子）。Mac Lane的《Categories for the Working Mathematician》也有习题，我觉得前几章的题其实不算难。

  Lawvere and Schanuel's excellent "Conceptual Mathematics" has plenty of exercises, and the book is insanely approachable while still teaching a good amount (it's chock full of examples). Mac Lane (Categories for the Working Mathematician) also has exercises and I think the ones from the first few chapters aren't so hard.

• tel · 2015 年

  以我的经验，如果你具备或者愿意花时间去补足必要的抽象代数背景，那么MacLane的《Categories for the Working Mathematician》就是首选参考书。它确实是“面向职业数学家”（for the Working Mathematician）的，这点毋庸置疑，但要是书单里不列上它那简直就是犯罪。哪怕别的都不做，买一本反复读也值了……

  In my experience if you have or are willing to invest on the side to gain the necessary abstract algebra background then MacLane's Categories for the Working Mathematician is the go to source. It is certainly "for the Working Mathematician", so don't make bones about that, but to not include it in a reading list is criminal. If nothing else, buy it and keep rereading it…

• defined · 2017 年

  坦白说，Saunders MacLane的《Categories for the Working Mathematician》对我这个非数学专业的人来说非常有用。只要我从导言开始读，没完全grok（吃透）之前绝不往下翻，它意外地挺好懂。我不会假装自己全吸收了（或者……

  Honestly, Saunders MacLane's book, "Categories for the Working Mathematician", was very useful for this non-mathematician. It was surprisingly accessible if I started at the introduction and did not move forward until I grokked the content. I won't pretend I absorbed all (or…

• l332mn · 2021 年

  作为一名数学研究者，我强烈推荐《Categories for the Working Mathematician》，这可是范畴论的（共同）创立者本人亲笔所写。

  As a mathematician, I can't recommend "Categories for the Working Mathematician" enough, written by the (co)creator of category theory himself.

• tkgally · 2021 年

  ……前。我1980年在芝加哥大学拿到了数学硕士学位，Saunders Mac Lane当时是系里的教授，有几个研究生在搞范畴论，我自己也啃了Mac Lane的《Categories for the Working Mathematician》的一部分。不久后我离开了数学界——多少有些遗憾——之后就没再跟进这个领域了。看了对Emily Riehl的访谈，以及她新书《Category Theory in……》的引言（我刚才刚读完）

  …ago. I got a master’s degree in math at the University of Chicago in 1980, Saunders Mac Lane was on the faculty, a few grad students were doing category theory, and I worked through part of Mac Lane’s Categories for the Working Mathematician on my own. I left mathematics soon after—with some regret—and haven’t kept up with the field. The interview with Emily Riehl and the introduction (which I read just now) to her book Category Theory in…

• patrickthebold · 2021 年

  撇开那句“有啥问题吗”（what's the problem），这其实出自Saunders Mac Lane的《Categories for the Working Mathematician》。当然，在书里那可是完全严肃认真的。

  Without the 'what's the problem', It's in 'categories for the working mathematician' by Saunders Mac Lane. Of course, it's entirely seriously in that book.

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