I got into an interesting situation and I would love if you could help me with an advice, opinion or something. I have an offer for an MSc study (one year) in applied mathematics (with a scholarship) at a renowned university. The only problem is that I love pure mathematics far more than applied. In fact I can honestly say that I hate numerical mathematics. In future, after finishing MSc study I wish to continue with a PhD (in pure mathematics).
So, my question is how detrimental (if at all) would it be if I was to go for that MSc in applied mathematics (thus "losing" a year I could have spent studying something in pure) in trying to go to a PhD in pure mathematics a year later? I have heard of transitions from physics to pure mathematics but so far I don't know for somebody who did such a transition (from applied mathematics that includes numerical mathematics to a PhD in pure mathematics).
P.S. I also have an offer for an MSc in pure mathematics, but with a far weaker scholarship, at a not so "famous" university, and some additional problems with visa and stuff.