TITLE: What's a good introduction to category theory for someone doing analysis?
QUESTION [12 upvotes]: I do functional analysis, and diagrams are popping all over the place. It is about time I learned me some category theory.
Any recommendations?

REPLY [3 votes]: I could suggest Tom Leinster's book: "Basic Category Theory", Cambridge studies in advanced mathematics 143. It is a modern introduction to category theory which covers the basic topics of the subject (I had to write an abstract for the Mathematical Reviews so I got it for free). It is not specifically written for people doing functional analysis. It is written for undergraduate students. It contains a lot of examples.