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When I was in a freshman math course, a professor started the semester with a warning: "Trying to learn math without solving exercises is like trying to teach a
by Nimi 12y ago
When I was in a freshman math course, a professor started the semester with a warning: "Trying to learn math without solving exercises is like trying to teach a toddler to walk from physiology textbooks". Yet, I haven't found a good source of exercises for introductory category theory - is it the case that exercises for this subject are hard to come by? Or maybe it's a relatively advanced subject, so there are few books, and as always most books don't include exercises for some strange reason? Anyway, would love to hear where I can find exercises on the subject, if anyone knows. (BTW, I don't mean sprinkling an exercises or 3-4 here and there like in the OP, I mean like 10-15 exercises per lecture, which was the standard when I was a freshman)
- tel 12y agoIf I remember correctly, Awodey[0] has exercises like that. [0] http://www.amazon.com/Category-Theory-Oxford-Logic-Guides/dp/0199237182 http://www.amazon.com/Category-Theory-Oxford-Logic-Guides/dp...
- runT1ME 12y agoAwodey's does not have answers to the exercises, so it makes it hard to find out if I'm getting close or just scribbling things down...
- ihm 12y agoLawvere and Schanuel's excellent "Conceptual Mathematics" has plenty of exercises, and the book is insanely approachable while still teaching a good amount (it's chock full of examples). Mac Lane (Categories for the Working Mathematician) also has exercises and I think the ones from the first few chapters aren't so hard.