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Qiaochu Yuan
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My own personal exposure to category theory mostly consists of reading the following blog entries:

I won't claim that this is at all a systematic or comprehensive way to learn category theory, but I do think there's some genuinely good writing here and that it's gotten me comfortable with category-theoretic language, even if I wouldn't actually say that I "know" category theory (whatever that means).

Edit: Also, though I've only read the beginning, Lawvere and Schanuel's Conceptual Mathematics is probably the simplest introduction to category theory I've ever seen. I think it was written for an undergraduate course. To get an idea of the level of this text relative to some of the others mentioned here, adjoint functors are never explicitly defined.

My own personal exposure to category theory mostly consists of reading the following blog entries:

I won't claim that this is at all a systematic or comprehensive way to learn category theory, but I do think there's some genuinely good writing here and that it's gotten me comfortable with category-theoretic language, even if I wouldn't actually say that I "know" category theory (whatever that means).

My own personal exposure to category theory mostly consists of reading the following blog entries:

I won't claim that this is at all a systematic or comprehensive way to learn category theory, but I do think there's some genuinely good writing here and that it's gotten me comfortable with category-theoretic language, even if I wouldn't actually say that I "know" category theory (whatever that means).

Edit: Also, though I've only read the beginning, Lawvere and Schanuel's Conceptual Mathematics is probably the simplest introduction to category theory I've ever seen. I think it was written for an undergraduate course. To get an idea of the level of this text relative to some of the others mentioned here, adjoint functors are never explicitly defined.

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Qiaochu Yuan
  • 118.2k
  • 40
  • 447
  • 741

My own personal exposure to category theory mostly consists of reading the following blog entries:

I won't claim that this is at all a systematic or comprehensive way to learn category theory, but I do think there's some genuinely good writing here and that it's gotten me comfortable with category-theoretic language, even if I wouldn't actually say that I "know" category theory (whatever that means).