数学中的集合
Sets for mathematics
F. W. Lawvere · 初版 2002 年
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高年级本科生或低年级研究生在学习几何、分析与代数时需要一个统一的基础。本书于2003年首次出版，利用 categorical algebra 构建了这一基础，从对数学和物理中常见现象的直观描述起步，逐步推进到对 Categories of Sets 本质的精确规范。作为映射代数的 Set theory 被引入并展开，作为代数、几何、分析和组合学等高等数学学科的统一基础。形式化研究从一般……演进。
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Lawvere 和 Rosebrugh 写的《Sets for Mathematics》。通过集合范畴来学习范畴论。只需要对写证明稍微有点感觉就行，至少有离散数学第一门课的水平就行。要是有一点……
"Sets for Mathematics" by Lawvere/Rosebrugh. Learning category theory via the category of sets. Only requires some comfort in proof writing, at least what would be covered in a first course in discrete math. Having some…
Lawvere 的《Conceptual Mathematics》和《Sets for Mathematics》用来达到这个目的也极好。虽然有挑战性，但只要程序员大量跟函数和类型打过交道，具备了相应的数学成熟度，就完全啃得下来。
Conceptual Mathematics and Sets for Mathematics from Lawvere are really good for this purpose too. Challenging but doable with the mathematical maturity that most programmers have after extensively working with functions and types.
你应该去看看《Conceptual Mathematics》，然后再看《Sets for Mathematics》，两本都是 Lawvere 写的。写得太神了
You should check out "Conceptual mathematics" and then "sets for mathematics", both written by lawvere. They are the amazing
Lawvere 的《Conceptual Mathematics》或者《Sets for Mathematics》怎么样？
What about Lawvere's Conceptual Mathematics or Sets for Mathematics?
……如果你学过环论的话，我建议翻翻 Bill Lawvere 的《Conceptual Mathematics: A First Introduction to Categories》。也就是通过集合范畴来引入范畴论。他的《Sets for Mathematics》也很棒，不过内容更精练，但入门友好度不如前一本。
…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 a less than gentle introduction than the former book.
两本书讲的很多内容差不多，但《Sets for Mathematics》更简明，而且到后半部分可能探讨得更深。如果你之前学过环、群、向量空间、拓扑空间，这些概念在《Sets for Mathematics》里会很漂亮地串起来。《Conceptual……
A lot of the same ground but Sets for Mathematics is more concise and probably goes into more depth by the end. If you've previously done rings, groups, vector spaces, topological spaces, the concepts tie nicely together in Sets for Mathematics. Conceptual…