Mathematical Circles: Russian Experience (Mathematical World, Vol. 7)

by Dmitry Fomin, Ilia V. Itenberg, Sergey Genkin, etc.

Release Date: July, 1996

Edition: Paperback

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A great book for young students.

I bought this book to help me learn how to solve problems. However, when it arrived, I realised it was destined as a book for 12 to 14 year old students. Still, I gave it a try ( I am 19 years old). The problems are well stated, easy to do, and methodologicaly sound. I found the problems too easy, but my little brother ( 9 years old ) had trouble. It's great for some young students who would like to learn the basics of problem solving.

The Russians do Math Right

In sharp contrast to standard US math education, which
is generally a death march from algebra to calculus, this
book suggests a wonderful new way to organize the ideas
of elementary mathematics. The organizational principle
here is around fundamental ideas that underlie
every mathematical proof ever conceived: parity, the
pigeonhole principle, induction, counting (combinatorics),
etc. Each section starts off with easy problems that anyone
can get, and leads you through to more and more challenging
illustrations of that section's principle; the last problems
of each section are often quite sophisticated and rewarding.
Do the problems in this book, and you can't help but just
be smarter for it.

When I was a kid, I was mystified by puzzle problems that I
had no idea how to tackle, and intimidated by kids who could
solve those types of problems. Had this book been available
back then, it would have de-mystified those problems for me,
and I would have acquired the kinds of skills and insights
that make a real mathematician. Whatever your age, if you
are interested in developing your core competencies in math,
I can't think of a better endeavor than to do all the problems
in this book. If I were the US Secretary of Education, I would
make solving all the problems in this book a mandatory
requirement for all math teachers, and all graduating high
school students. Even a partial implementation of such a
policy would make this country mathematically literate in a
way that we can't even conceive of today. It would de-mistify
mathematical "genius" on a global scale.