Fomin, Dmitri
Mathematical circles : (Russian experience) - American Mathematical Society, Providence, RI: [c1996] - 272 p. - Mathematical World 07 .
1. Chapter zero (Chapter 0)
2. Parity (Chapter 1)
3. Combinatorics–1 (Chapter 2)
4. Divisibility and remainders (Chapter 3)
5. The pigeon hole principle (Chapter 4)
6. Graphs–1 (Chapter 5)
7. The triangle inequality (Chapter 6)
8. Games (Chapter 7)
9. Problems for the first year (Chapter 8)
10. Induction (Chapter 9)
11. Divisibility–2: Congruence and Diophantine equations (Chapter 10)
12. Combinatorics–2 (Chapter 11)
13. Invariants (Chapter 12)
14. Graphs–2 (Chapter 13)
15. Geometry (Chapter 14)
16. Number bases (Chapter 15)
17. Inequalities (Chapter 16)
18. Problems for the second year (Chapter 17)
19. Mathematical contests (Chapter 18)
20. Answers, hints, solutions (Chapter 19)
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
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. 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”. The book is based on a unique experience gained by several generations of Russian educators and scholars.--- summary provided by publisher
9780821804308
QA95
Mathematical circles : (Russian experience) - American Mathematical Society, Providence, RI: [c1996] - 272 p. - Mathematical World 07 .
1. Chapter zero (Chapter 0)
2. Parity (Chapter 1)
3. Combinatorics–1 (Chapter 2)
4. Divisibility and remainders (Chapter 3)
5. The pigeon hole principle (Chapter 4)
6. Graphs–1 (Chapter 5)
7. The triangle inequality (Chapter 6)
8. Games (Chapter 7)
9. Problems for the first year (Chapter 8)
10. Induction (Chapter 9)
11. Divisibility–2: Congruence and Diophantine equations (Chapter 10)
12. Combinatorics–2 (Chapter 11)
13. Invariants (Chapter 12)
14. Graphs–2 (Chapter 13)
15. Geometry (Chapter 14)
16. Number bases (Chapter 15)
17. Inequalities (Chapter 16)
18. Problems for the second year (Chapter 17)
19. Mathematical contests (Chapter 18)
20. Answers, hints, solutions (Chapter 19)
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
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. 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”. The book is based on a unique experience gained by several generations of Russian educators and scholars.--- summary provided by publisher
9780821804308
QA95