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

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In summary, the person is 16 years old and looking for a problem book to continue their studies in mathematics. They have already covered pre-university level and are self-taught, but are missing some sections. They are looking for a book that will keep them busy for 2-3 years and goes beyond school level. One suggestion is the 'Guide to Mathematical Methods' by Gilbert and Jordan, which is meant as a transition from A-level to university and has plenty of exercises.
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Trail_Builder
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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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  • #2
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.
 
  • #3
thnx buddy :D

ill make sure to get it :)
 

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

What is the best problem book for a 16-year-old self-taught math student?

The best problem book for a 16-year-old self-taught math student depends on their level of math knowledge and the specific areas they want to focus on. Some popular options include "The Art of Problem Solving" series, "Challenging Problems in Algebra" by Alfred S. Posamentier, and "The Mathematical Olympiad Handbook" by A. Gardiner.

How can a 16-year-old self-taught math student choose the right problem book?

A 16-year-old self-taught math student should consider their math goals, current level of knowledge, and areas of interest when choosing a problem book. They should also read reviews and sample problems to get a sense of the book's difficulty and style.

Are there any problem books specifically designed for self-taught math students?

Yes, there are problem books specifically designed for self-taught math students. These books often have a more comprehensive approach and include more explanations and examples to help students learn on their own.

Can a 16-year-old self-taught math student use problem books as their primary learning tool?

While problem books can be a great supplement to self-learning, they should not be the only source of learning for a 16-year-old self-taught math student. It is important to also have access to textbooks, online resources, and possibly a tutor for additional support and guidance.

How often should a 16-year-old self-taught math student use problem books?

The frequency of using problem books may vary depending on the student's goals and schedule. However, it is generally recommended to use problem books consistently, at least a few times a week, to improve problem-solving skills and maintain mathematical knowledge.

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