I was lucky enough to have Tim Gowers as a lecturer in my first term of university (hmm... 2002) when he gave a lecture course introducing number theory, set th

I was lucky enough to have Tim Gowers as a lecturer in my first term of university (hmm... 2002) when he gave a lecture course introducing number theory, set theory, combinatorics and axiomatic construction of number systems. It was intoxicating to be taught by someone who was (a) brilliant, and (b) so thoroughly enthusiastic about mathematics. I eventually routed off into applied math and physics, but I look back on those initial lectures fondly, and still have an appreciation for the kind of "problem solving" mathematics that he taught.