Which Problem Book for 16-Year-Old Self-Taught Maths Student?

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A 16-year-old self-taught math student is seeking a problem book to sustain their studies for 2 to 3 years, having exhausted current resources. They are looking for material that bridges pre-university math and advanced topics. A recommended book is "Guide to Mathematical Methods" by Gilbert and Jordan, which serves as a transition from A-level to university level and includes numerous exercises. This book is noted for its clarity and depth in foundational math concepts. The student plans to acquire the suggested book for further study.
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hi

Im currently 16, and just about to go into 6th form. I've been reading up a lot into maths quite a bit beyond my current level and have used up all the problems at the back of the books i have currently.

I was thinking I could get a problem book that had enough problems to keep me going for 2 or 3 years hopefully, from my current level (read up most of pre-uni maths, but self taught here so missing sections), up to some problems beyond school level because in a year or 2 i will have started reading beyond school level maths.

The only book i found when i scoured the web was the one with the IMO problems but I am guessing they would be too hard?

what do you think? Any books to suggest?


Thnx
 
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This isn't a pure problem book but its one I love and recommend to lots of people at about your level. Its called 'Guide to Mathematical Methods' by Gilbert and Jordan and its meant as a transition from A-level to university. A lot of it is revision but its presented very well and it should give you a fairly deep understanding of most of the foundations of maths. It has plenty of exercises in that should keep you going for a while.
 
thnx buddy :D

ill make sure to get it :)
 
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