概念数学

Hacker News 上怎么说

• jonnybgood · 2018 年

  ……能为数学思维打下良好基础。 Graham、Knuth、Patashnik 的《具体数学》（Concrete Mathematics） Spivak 的《微积分》（Calculus） Velleman 的《如何证明》（How to Prove It） 波利亚的《怎样解题》（How to Solve It） E.T. Jaynes 的《概率论》（Probability Theory） Lawvere 和 Schanuel 的《概念数学》（Conceptual Mathematics）

  …good foundation for mathematical thinking. Concrete Mathematics by Graham, Knuth, Patashnik Spivak’s Calculus How to Prove It by Velleman Polya’s How to Solve It E.T. Jaynes’ Probability Theory Conceptual Mathematics by Lawvere and Schanuel

• ericssmith · 2014 年

  如果你想要一本正儿八经的入门书，Lawvere 和 Schanuel 写的《概念数学：范畴论第一本入门书》（Conceptual Mathematics: A First Introduction to Categories）是不二之选。

  If you want an actual introduction to the topic, "Conceptual Mathematics: A First Introduction to Categories" by Lawvere and Schanuel is the right choice.

• cokernel · 2017 年

  关于范畴论在计算机编程或计算机科学中的应用我不好评价，但我认为 Lawvere 和 Schanuel 写的《概念数学》（Conceptual Mathematics）是对范畴论基本概念非常棒的入门介绍。http://www.cambridge.org/catalogue/catalogue.asp?isbn=978052... 我记得这本书“最近”刚被讨论过……

  I can't comment on applications of category theory to computer programming or computer science, but I believe that the book Conceptual Mathematics by Lawvere and Schanuel is a nice introduction to the basic ideas of category theory. http://www.cambridge.org/catalogue/catalogue.asp?isbn=978052... I believe this book has been discussed "recently"…

• decasteve · 2014 年

  如果你在学习中已经学过了向量空间（Vector Spaces）、群（Groups）和环（Rings），那我建议看看 Bill Lawvere 的《概念数学：范畴论第一本入门书》（Conceptual Mathematics: A First Introduction to Categories）。也就是通过集合范畴来入门范畴论。他的《数学的集合》（Sets for Mathematics）也不错，不过那本对该主题的阐述更紧凑精炼，但是……

  If you've already covered Vector Spaces, Groups, and Rings in your studies, I would suggest checking out Bill Lawvere's "Conceptual Mathematics: A First Introduction to Categories". i.e. An introduction to category theory through the category of sets. His "Sets for Mathematics" is also good but it's a more concise presentation of the topic but…

• wirrbel · 2015 年

  你想学哪类数学？如果你对离散数学和代数感兴趣，Haskell 能派上用场。我还会推荐读读 http://www.amazon.com/Conceptual-Mathematics-First-Introduct...，这是一本极好的入门读物（并不针对具体的代码）。如果你对线性代数或数值计算更感兴趣，我建议你去多熟悉熟悉 numpy。

  What kind of mathematics do you want to learn? If you are interested in discrete mathematics and algebra, Haskell has something to offer. I would also read http://www.amazon.com/Conceptual-Mathematics-First-Introduct... which is a great introduction (unspecific to code). If you are more interested in linear algebra or numerics, I would suggest to get to know numpy better.

• decasteve · 2017 年

  想要更基础的入门，我建议从 Lawvere 和 Schanuel 的《概念数学：范畴论第一本入门书》（Conceptual Mathematics: A First Introduction to Categories）开始。它对抽象代数的要求比较低。如果你有一点数学直觉，那这绝对是首选入门书。我很惊讶他引用了《Sets for Mathematics》，却没……

  For an even more basic introduction I'd recommend starting with Lawvere and Schanuel's Conceptual Mathematics: A First Introduction to Categories. Requires less abstract algebra. If you have some mathematical intuition then this is the book to start with. I'm surprised he cites Sets for Mathematics but doesn't…

正在加载完整评论……