Mathematical Circles: (Russian Experience)
American Mathematical Soc. - Mathematics - 272 pages
What kind of book is this? 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 school curriculum.
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angle answer balls base blackboard boxes calculate cards chain chapter chessboard choose chosen circle coins color column complete graph congruent connected component contains cube diagonal Diophantine equation divisible by 9 divisor equal equation Euclid's algorithm example geometry given number graph greater Hint idea identical inductive step integers intersect invariant Kunihiko Kodaira last digit least mathematical mathematical induction Methodological remark move natural number number is divisible number n number system odd number pairs parity Pascal's triangle pawn perfect square perimeter Pigeon Hole Principle piles planar graph plane player wins Players take turns points polygon possible prime numbers Problem 22 proof prove the inductive quadrilateral relatively prime remainders modulo remainders when divided result rigid motions second player segments shown in Figure side solution to Problem solving statement symmetry teachers theorem towns triangle ABC triangle inequality vertex winning positions zero