I wasn't sure quite where to put this, since it didn't really belong in the A Level Maths forum.
I love Maths. I can sit around and work my way through problems all day long and just genuinely enjoy it - I've done all the A Level Maths I possibly can (Regular, Further and Additional, although additional isn't aggregated past AS since I missed an exam).
I enjoyed Pure the most, followed closely by Mechanics. Statistics could be interesting at S3/S4 level, but Decision was pretty nonsensical outside of topics like Game Theory.
The problem is, I didn't like the idea of the end result of having done a degree in Maths (usually the result is either go into Banking, Economics etc or Teaching - there are very few actual 'academic' positions AFAIK), so I chose a different field to do at undergraduate (along with other reasons).
I was wondering if there was anything I could do beyond A Level that would keep my interest in Maths alive; any books or websites etc to use and problems to do that sort of build on A Level maths and go from there - i.e, they introduce a topic and explain it and give you some problems to solve (I know the dynamic of Maths changes once you get to university in that it isn't particularly about "Here's X - integrate it") - I've done STEP papers in my spare time, but the reality is that they are firmly grounded in A Level Maths - the questions are just a lot more difficult.
I'm not looking to get any qualification in it, or to not focus on my degree and I'm not trying to pretend I would be doing it at / understanding it at the level of someone actually doing a Maths degree, but I would just like to make sure that I have the same passion for Maths in 10 years time, rather than just slowly forgetting it all because it isn't being used.
Thanks for reading.