It does not seem that anyone has mentioned Hannabuss's An introduction to quantum theory . Although I have personally not lectured from it, it seemed good to us when we considered a quantum theory course for maths undergraduates in Edinburgh. (Alas, there was opposition from the physicists and the course ended up not being given.) At this level quantum mechanics is an application of linear algebra, so well suited for mathematics students. Having said that, I echo others' answers where they suggest trying to develop a "physical" intuition as well.