Mathematical Circles (Russian Experience)

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Author(s): Dmitri Fomin, Sergey Genkin, Ilia Itenberg
Publisher: AMS
Year: 1996

Language: English

Cover
Title page
Foreword
Preface to the Russian Edition
Part 1. The First Year of Education
Chapter 0. Chapter Zero
Chapter 1. Parity
Chapter 2. Combinatorics-1
Chapter 3. Divisibility and Remainders
Chapter 4. The Pigeon Hole Principle
Chapter 5. Graphs-1
Chapter 6. The Triangle Inequality
Chapter 7. Games
Chapter 8. Problems for the First Year
Part II. The Second Year of Education
Chapter 9. Induction (by 1. S. Rubanov)
Chapter 10. Divisibility-2: Congruence and Diophantine Equations
Chapter 11. Combinatorics-2
Chapter 12. Invariants
Chapter 17. Problems for the Second Year
Chapter 13. Graphs-2
Chapter 14. Geometry
Chapter 15. Number Bases
Chapter 16. Inequalities
Appendix A. Mathematical Contests
Appendix B. Answers, Hints, Solutions
Appendix C. References