I get asked often enough about the kind of books mathematics undergraduates could be reading.
I’m not mathematically-qualified enough to review them except, suffice to say, I’ve found/am finding the following helpful (all live on my bookshelf):
Basic Partial Differential Equations (Bleecker and Csordas) (ordered from Amazon.com for £42 delivered as opposed to UK prices around £85)
And I’m tossing a fair coin 101 times to see whether I should buy:
This one’s from Chris F and looks well-laid out: Numerical Analysis (Burden and Faires)
If anyone has other suggestions which might help starting-out maths students, you can email me at email@example.com or drop a comment in the comment box below. 🙂 🙂