I've read Marcus Du Sautoy's "The Music of Primes" recently and, although I'm not so much interested in number theory, I really liked it for the global perspective on the subject, though at an "educational", "popular " level.
I'm also goig to read Aczel and Singh's Fermat Last Theorem. Now, I am wondering wether there are similar books that a fourth-year student of Mathematics like me could appreciate. In particular I would like to have an insight in the recent history of the subjects, let's say from 1940-50 until now. Of course Du Sautoy's level is a bit low, so a little "higher-level" references are also welcome.
So, are there such books for algebraic topology, modern set theory, or other abstract issues? I'm asking because there doesn't seem to be a way to have a perspective on recent history of some topics, on the important and challenging theoretical problems and approaches, also - I must say - in order to choose my career.
I hope the question is not off-topic. (Perhaps I should have posted it in the Math StackExchange?) Thank you in advance.