For a good grounding in a lot of maths, I have somewhat fond memories of Boas: <a href="http://www.amazon.com/Mathematical-Methods-Physical-Sciences-2nd/dp/0471044091/ref=sr_1_1?ie=UTF8&#38;s=books&#38;qid=1264024409&#38;sr=8-1" rel="nofollow">http://www.amazon.com/Mathematical-Methods-Physical-Sciences...</a><p>Arfken was also tough, but excellent: <a href="http://www.amazon.com/Mathematical-Methods-Physicists-Sixth-Comprehensive/dp/0120598760/ref=dp_cp_ob_b_title_2" rel="nofollow">http://www.amazon.com/Mathematical-Methods-Physicists-Sixth-...</a><p>Yes, these books are fucking expensive.<p>PS: I did a physics degree, so my favourite books are maths for physicists... maybe former Maths students will have "purer" books to recommend. Anyway, between these two, you'll have a good year or two of hard studying before you need to buy another one :-)