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I was struck by the category theory section, which starts with two fairly easy books (Cheng and Awodey), a book I've never heard of, and then Mac Lane. Mac Lane
by Smaug123 11y ago
I was struck by the category theory section, which starts with two fairly easy books (Cheng and Awodey), a book I've never heard of, and then Mac Lane. Mac Lane is a fearsome book, which takes a lot of concerted effort and study for me to read. I have had four years of the Cambridge Maths Tripos, so I am (ahem) probably quite a bit more highly trained in mathematics than most readers of this list, and Mac Lane is just barely on the edge of things I can read. It should come with a health warning for its extreme difficulty and abstraction; there's a reason it's in the "Graduate Texts" series.
- thechao 11y agoI had the same feeling when Ben Pierce's introductory text was tossed casually into the same list as HOTT. I mean... more power to you, but a few lines of text are casually glossing over probably a decade of study for the reader.