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https://www.amazon.com/Mathematical-Circles-Dmitry-Fomin/dp/0821804308 https://www.amazon.com/Mathematical-Circles-Dmitry-Fomin/dp/... It is a book produced by

https://www.amazon.com/Mathematical-Circles-Dmitry-Fomin/dp/0821804308 https://www.amazon.com/Mathematical-Circles-Dmitry-Fomin/dp/... It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called "Mathematical Circles". The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport-without necessarily being competitive. This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of the school curriculum. It is also a book of mathematical recreations and, at the same time, a book containing vast theoretical and problem material in main areas of what authors consider to be "extracurricular mathematics".

jacobolus 6y ago
This would be better for a 10–14 year old in middle school or early high school.
- enriquto 6y ago
  Hmmm. There's no way my 10 year old daughter would read beyond the first page of that thing. For 15-16 it's great.
  - jacobolus 6y ago
    This is more about level of preparation / past experience than age per se. The OP describes a “bright, self-motivated child in their late teens who is into maths” and is a few years ahead of their peers. The mentioned book might seem a bit easy or elementary for this particular kid. The two Berkeley Math Circle books might be better. https://mathcircle.berkeley.edu/books https://mathcircle.berkeley.edu/books You are right that a book aimed at well prepared Russian 12-year-olds in an extracurricular math circle might be fine for 16-year-old average American students.