I've only read the beginning, but I recommend _Conceptual Mathematics_
by Lawvere and Schanuel for a *very* gentle introduction (seriously,
you could probably teach category theory to ten-year-olds out of this
book.) Nothing about applications there, though.

Cheers,
Tim

-- 
Tim Chevalier * http://cs.pdx.edu/~tjc * Often in error, never in doubt
"I haven't got the slightest idea how to change people, but still I
keep a long list of prospective candidates just in case I should ever
figure it out."  --David Sedaris
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