……能捧着一本书、泡杯茶蜷在沙发里,看着时光静静流淌,去……领悟他人深思熟虑的见识,这种感觉真是太美妙了!这才叫体面生活!平时我肯定推荐历史书,但在这个圈子里,Emily Riehl 的《Category Theory in Context》应该更合适 :) 关于重读,尤其是教材:要真正领会书中那些深奥甚至晦涩的观点,并理解……确实需要花时间和精力。
…wonderful to just curl up with a book and a cup of tea and let time pass you by as you ... learn the considered thought of others! This is civilised! Normally I'd recommend history but around these parts Category Theory in Context by Emily Riehl is probably acceptable :) About re-reading, especially textbooks: it takes time and trouble to appreciate the difficult and often esoteric ideas represented in a text and understand the…
……《Invitation to Applied Category Theory: Seven Sketches in Compositionality》[1] 也使用偏序关系引入了范畴论的概念。编辑补充:读完 Fong 和 Spivak 的书之后,Emily Riehl 写的《Category Theory in Context》是一个极佳的进阶选择,不过它需要读者具备一定的数学成熟度。[1]: https://arxiv.org/abs/1803.05316
…Invitation to Applied Category Theory: Seven Sketches in Compositionality” [1] also introduces category-theoretic ideas using partial orders. Edit: After the Fong & Spivak book, the book by Emily Riehl, "Category Theory in Context" is an excellent next step, although it requires some mathematical maturity. [1]: https://arxiv.org/abs/1803.05316
哪本书适合你取决于你的背景。如果你有扎实的数学功底,比如数学本科背景,我最推崇的书是 Emily Riehl 的《Category Theory in Context》[1](书名里的“Context”指的就是数学背景)。如果你数学懂的不多,我建议读 Tom Leinster 的《Basic Category Theory》[2] 或者 Steve Awodey 的《Category Theory》[3](尤其是……
What book will suit you depends on your background. If you have a solid background in math, say an undergraduate degree in math, my favorite book is Emily Riehl's Category Theory in Context [1] (the "context" in the title refers to a background in math). If you don't know that much math, I'd recommend Tom Leinster's Basic Category Theory [2] or Steve Awodey's Category Theory [3] (particularly…
Riehl 的《Category Theory in Context》非常棒。它属于那种每一页都得花上几个小时才能彻底吃透的书。它很适合和 Milewski 的《Category Theory for Programmers》[1] 系列搭配着看,后者相对要轻松不少……
Riehl's "Category Theory in Context" is great. It's one of those books where every page really takes a couple hours to fully absorb. It pairs well with Milewski's "Category Theory for Programmers" [1] series, which is comparatively lighter…
……Lawvere 的《Introduction to Categories》、Milewski 的《Category Theory for Programmers》(如果你喜欢函数式编程的话)、Fong、Milewski 和 Spivak 的《Programming with Categories》(如果你喜欢函数式编程的话)、Riehl 的《Category Theory in Context》。Spivak 还有其他几本你可能会喜欢。如果你对范畴论一无所知,那我最喜欢 Southwell(可以配合他的 YouTube 视频看)。Eugenia Cheng 也有……
…Introduction to Categories - Lawvere Category Theory for Programmers - Milewski (if you like functional programming) Programming with Categories - Fong, Milewski, Spivak (if you like functional programming) Category Theory in Context - Riehl There are a few others by Spivak which you may like. If you don't know category theory whatsoever then I like Southwell the best (pair them up with his youtube videos). Eugenia Cheng also has…
……0. 我建议在接触到域、群和环之前先别盲目死磕这个,因为最好能同时具备传统和现代(即范畴论)的视角。另外也可以看看 Riehl 写的《Category Theory in Context》。7. 复分析:Ahlfors 的《Complex Analysis》。这是一本极其优秀且简明扼要的教材。理论上你可以在学实分析之前看它,但我并不推荐这么做。另外也可以试试……
…0. I would suggest not trying to dive into this prior to at least encountering fields, groups and rings because it's good to have both the traditional and modern (read: categorical) contexts. Also try Category Theory in Context, by Riehl. 7. Complex Analysis Complex Analysis, by Ahlfors. This is an excellent and concise text. You can theoretically approach this before real analysis, but I wouldn't recommend that. Also try…
……能捧着一本书、泡杯茶蜷在沙发里,看着时光静静流淌,去……领悟他人深思熟虑的见识,这种感觉真是太美妙了!这才叫体面生活!平时我肯定推荐历史书,但在这个圈子里,Emily Riehl 的《Category Theory in Context》应该更合适 :) 关于重读,尤其是教材:要真正领会书中那些深奥甚至晦涩的观点,并理解……确实需要花时间和精力。
…wonderful to just curl up with a book and a cup of tea and let time pass you by as you ... learn the considered thought of others! This is civilised! Normally I'd recommend history but around these parts Category Theory in Context by Emily Riehl is probably acceptable :) About re-reading, especially textbooks: it takes time and trouble to appreciate the difficult and often esoteric ideas represented in a text and understand the…
……《Invitation to Applied Category Theory: Seven Sketches in Compositionality》[1] 也使用偏序关系引入了范畴论的概念。编辑补充:读完 Fong 和 Spivak 的书之后,Emily Riehl 写的《Category Theory in Context》是一个极佳的进阶选择,不过它需要读者具备一定的数学成熟度。[1]: https://arxiv.org/abs/1803.05316
…Invitation to Applied Category Theory: Seven Sketches in Compositionality” [1] also introduces category-theoretic ideas using partial orders. Edit: After the Fong & Spivak book, the book by Emily Riehl, "Category Theory in Context" is an excellent next step, although it requires some mathematical maturity. [1]: https://arxiv.org/abs/1803.05316
哪本书适合你取决于你的背景。如果你有扎实的数学功底,比如数学本科背景,我最推崇的书是 Emily Riehl 的《Category Theory in Context》[1](书名里的“Context”指的就是数学背景)。如果你数学懂的不多,我建议读 Tom Leinster 的《Basic Category Theory》[2] 或者 Steve Awodey 的《Category Theory》[3](尤其是……
What book will suit you depends on your background. If you have a solid background in math, say an undergraduate degree in math, my favorite book is Emily Riehl's Category Theory in Context [1] (the "context" in the title refers to a background in math). If you don't know that much math, I'd recommend Tom Leinster's Basic Category Theory [2] or Steve Awodey's Category Theory [3] (particularly…
Riehl 的《Category Theory in Context》非常棒。它属于那种每一页都得花上几个小时才能彻底吃透的书。它很适合和 Milewski 的《Category Theory for Programmers》[1] 系列搭配着看,后者相对要轻松不少……
Riehl's "Category Theory in Context" is great. It's one of those books where every page really takes a couple hours to fully absorb. It pairs well with Milewski's "Category Theory for Programmers" [1] series, which is comparatively lighter…
……Lawvere 的《Introduction to Categories》、Milewski 的《Category Theory for Programmers》(如果你喜欢函数式编程的话)、Fong、Milewski 和 Spivak 的《Programming with Categories》(如果你喜欢函数式编程的话)、Riehl 的《Category Theory in Context》。Spivak 还有其他几本你可能会喜欢。如果你对范畴论一无所知,那我最喜欢 Southwell(可以配合他的 YouTube 视频看)。Eugenia Cheng 也有……
…Introduction to Categories - Lawvere Category Theory for Programmers - Milewski (if you like functional programming) Programming with Categories - Fong, Milewski, Spivak (if you like functional programming) Category Theory in Context - Riehl There are a few others by Spivak which you may like. If you don't know category theory whatsoever then I like Southwell the best (pair them up with his youtube videos). Eugenia Cheng also has…
……0. 我建议在接触到域、群和环之前先别盲目死磕这个,因为最好能同时具备传统和现代(即范畴论)的视角。另外也可以看看 Riehl 写的《Category Theory in Context》。7. 复分析:Ahlfors 的《Complex Analysis》。这是一本极其优秀且简明扼要的教材。理论上你可以在学实分析之前看它,但我并不推荐这么做。另外也可以试试……
…0. I would suggest not trying to dive into this prior to at least encountering fields, groups and rings because it's good to have both the traditional and modern (read: categorical) contexts. Also try Category Theory in Context, by Riehl. 7. Complex Analysis Complex Analysis, by Ahlfors. This is an excellent and concise text. You can theoretically approach this before real analysis, but I wouldn't recommend that. Also try…