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

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SUMMARY

The discussion centers on recommendations for problem books suitable for a 16-year-old self-taught mathematics student preparing for advanced studies. The participant seeks a comprehensive resource to bridge the gap between A-level and university mathematics, expressing interest in long-term engagement with challenging problems. A specific recommendation is made for "Guide to Mathematical Methods" by Gilbert and Jordan, which is noted for its effective presentation and foundational exercises. The book is deemed appropriate for revision and deep understanding, making it a valuable resource for the student's mathematical journey.

PREREQUISITES
  • Understanding of A-level mathematics concepts
  • Familiarity with self-directed learning techniques
  • Basic knowledge of mathematical problem-solving strategies
  • Interest in transitioning to university-level mathematics
NEXT STEPS
  • Explore additional problem books such as "The Art and Craft of Problem Solving" by Paul Zeitz
  • Investigate resources for International Mathematical Olympiad (IMO) preparation
  • Learn about advanced mathematical topics through online courses on platforms like Coursera or edX
  • Practice mathematical exercises from "Guide to Mathematical Methods" by Gilbert and Jordan
USEFUL FOR

This discussion is beneficial for self-taught mathematics students, educators seeking resources for advanced learners, and anyone interested in bridging the gap between A-level and university mathematics.

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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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