I recommend for a first reading on category theory: [Martin Brandenburg, Einführung in die Kategorientheorie][1] It is really an excellent exposition with some nice perspectives on the concepts,<br> supported by plenty of examples. :) (Note that it is provided in German only.) A lot of thanks to Konrad S. for suggesting to me the reference!<br> (Such a pity, that I just missed the chance to meet the author in person..) [1]: http://www.springer.com/de/book/9783662470688