Fomin, Dmitri

Mathematical circles : (Russian experience) - USA: American Mathematical Society, [c1996] - 272 p. - Mathematical World 07 .

1. Chapter zero
2. Parity
3. Combinatorics
4. Divisibility and remainders
6. Graphs–1
7. The triangle inequality
8. Games
9. Problems for the first year
10. Induction
11. Divisibility–2: Congruence and Diophantine equations
12. Combinatorics–2
13. Invariants
14. Graphs–2
15. Geometry
16. Number bases
17. Inequalities
18. Problems for the second year
19. Mathematical contests
20. Answers, hints, solutions
21. References

“This is a sample of rich Russian mathematical culture written by professional mathematicians with great experience in working with high school students ... Problems are on very simple levels, but building to more complex and advanced work ... [contains] solutions to almost all problems; methodological notes for the teacher ... developed for a peculiarly Russian institution (the mathematical circle), but easily adapted to American teachers' needs, both inside and outside the classroom.”

—from the Translator's notes


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