数学：形式与功能

Hacker News 上怎么说

• danharaj · 2017 年

  ……它们是如何契合在一起的。不过这绝对是针对高阶读者的。有一本在本科生水平上阐述现代数学宏观结构及其基本概念的书，就是 Saunders Mac Lane 写的《Mathematics, Form and Function》（数学：形式与功能）。如果你喜欢这篇论文，但觉得目前读起来有点吃力，你可能会喜欢这本书。关于数学的某些深刻之处，我觉得人们才刚刚开始探索……

  …how they fit together. It's definitely targeted at an advanced reader though. A book describing the large-scale structure of modern mathematics and its fundamental concepts at an undergraduate level is Mathematics, Form and Function by Saunders Mac Lane. If you like this paper but feel like it's currently out of your reach, you might like this book. Something deep about mathematics that I feel has only begun to be explored in the…

• davidmathers · 2011 年

  我见过的最佳综述是 Saunders Mac Lane 写的《Mathematics: Form and Function》：http://www.amazon.com/dp/0387962174/ 它的优势在于作者是20世纪顶尖的数学家之一。互联网（series of tubes）上能找到可以下载的副本。

  The best overview I've seen is Mathematics: Form and Function by Saunders Mac Lane: http://www.amazon.com/dp/0387962174/ It has the benefit of being written by one of the top mathematicians of the 20th century. There are downloadable copies in the series of tubes.

• nicklaf · 2019 年

  Mark Kac 和 Stan Ulam 写的《Mathematics and Logic》（1992年 Dover 平装版，ISBN 978-0486670850）[1]；Saunders Mac Lane 写的《Mathematics, Form and Function》（1986年 Springer-Verlag 精装版，ISBN 0-387-96217-4）[2]。[1]: https://www.cut-the-knot.org/books/kac/index.shtml [2]: https://en.wikipedia.org/wiki/Mathematics,_Form_and_Function

  Mathematics and Logic by Mark Kac and Stan Ulam (1992 Dover paperback, ISBN 978-0486670850) [1] Mathematics, Form and Function by Saunders Mac Lane (1986 Springer-Verlag hardcover, ISBN 0-387-96217-4) [2] [1]: https://www.cut-the-knot.org/books/kac/index.shtml [2]: https://en.wikipedia.org/wiki/Mathematics,_Form_and_Function

• sb · 2012 年

  今年我读了、或者开始读了以下几本有趣的书：Saunders Mac Lane 的《Mathematics: Form and Function》。这是我最喜欢的关于数学“构建”的书之一（里面还有很棒的学科“关联性”图表）。之前有人在 HN 上推荐过 Mathematics:……

  This year I either read, or started to read the following interesting books: Mathematics: Form and Function by Saunders Mac Lane. This is one of my favorite books concerning the "build-up" of mathematics (it also contains nice diagrams of "relatedness" of subjects). On HN somebody once recommended Mathematics:…

• tel · 2023 年

  ……它完全做到了我上面说的那些，讲了一个轻度虚构的“原本如此”（just so）的数学“历史与发展”故事，以此为由头有理有据地引出所有内容，这本书就是 MacLane 的《Mathematics: Form and Function》，我简直逢人就推。https://www.amazon.com/Mathematics-Form-Function-Saunders-Ma...

  …which does just what I said above and tells a lightly fictionalized "just so" story of the "history and development" of mathematics as an excuse to introduce everything in a motivated fashion is MacLane's Mathematics: Form and Function which I just recommend endlessly. https://www.amazon.com/Mathematics-Form-Function-Saunders-Ma...

• auggierose · 2022 年

  朋友，是时候读读 Saunders Mac Lane 的《Mathematics: Form and Function》了。

  Time to read "Mathematics: Form and Function" by Saunders Mac Lane, my friend.

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