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Thanks for the response. I was interested in the answer to this question as well. I read through the thread [1] that you linked to, and seems like the consensus
by davidcuddeback 13y ago
Thanks for the response. I was interested in the answer to this question as well. I read through the thread [1] that you linked to, and seems like the consensus is the same thing you said: it's best to learn abstract algebra and topology first. Does anyone know of some good sources for those topics? The other threads are understandably focused on category theory.
As for category theory, after reading through that thread [1] and the Reddit thread [2] that it links to, I think Conceptual Mathematics: A First Introduction to Categories [3] will be my first read on category theory (but probably followed by the Rosetta Stone paper). That book receives some strong recommendations as a first book in the Reddit thread [2].
[1] https://news.ycombinator.com/item?id=6041726 https://news.ycombinator.com/item?id=6041726
[2] http://www.reddit.com/r/haskell/comments/1ht4mf/books_on_category_theory_for_beginners/ http://www.reddit.com/r/haskell/comments/1ht4mf/books_on_cat...
[3] http://www.amazon.com/Conceptual-Mathematics-First-Introduction-Categories/dp/052171916X http://www.amazon.com/Conceptual-Mathematics-First-Introduct...
- jcurbo 13y agoNot a problem. I'm interested in the abstract algebra question too, as I haven't actually done any research yet. Perhaps someone should start an r/categorytheory. :)
- davidcuddeback 13y agoThis might become a recursive rabbit hole.
- davidcuddeback 13y agoDigging deeper into the HN thread that you linked to, I came across this discussion [1] on Reddit which is focused more on the abstract algebra question. They recommend Algebra: Chapter 0 by Aluffi (Amazon [2] or PDF [3]). [1] http://www.reddit.com/r/math/comments/1eiyid/category_theory_prereqs_does_alg_geometry_come/ http://www.reddit.com/r/math/comments/1eiyid/category_theory... [2] http://www.amazon.com/Algebra-Chapter-Graduate-Studies-Mathematics/dp/0821847813?tag=duckduckgo-d-20 http://www.amazon.com/Algebra-Chapter-Graduate-Studies-Mathe... [3] http://www.mimuw.edu.pl/~jarekw/pdf/Algebra0TextboookAluffi.pdf http://www.mimuw.edu.pl/~jarekw/pdf/Algebra0TextboookAluffi....