Mathematical Circles: the Russian Experience
Authors
Description
This book was produced by cultural circumstances that fostered the creation of groups formed by students, teachers and mathematicians in the Soviet Union, called math circles. It is still very rare to find mathematical researchers in the United States willing to think about and devote time and energy to developing material for high school students. So this book was translated from Russian into English by Mark Saul and from English into Portuguese by Valéria Iório.
Target audience
Middle school
Name: Mathematical Circles: the Russian Experience
Author(s): Ilia Itenberg, Sergey Genkin e Dmitri Fomin
Pages: 304
Publication: AMS/IMPA
ISBN: 978-85-244-0310-1
Edition: 1
Preface to the English Edition
Preface to the Russian Edition
Chapter 0. Chapter Zero
Chapter 1. Parity
Chapter 2. Combinatorial Analysis 1
Chapter 3. Divisibility and Remainder
Chapter 4. The Pigeonhole Principle
Chapter 5. Graphs 1
Chapter 6. The Triangular Inequality
Chapter 7. Games
Chapter 8. First Year Problems
Chapter 9. Induction
Chapter 10. Divisibility 2: Congruence and Diophantine Equations
Chapter 11. Combinatorial Analysis 2
Chapter 12. Invariants
Chapter 13. Graphs 2
Chapter 14. Geometry
Chapter 15. Number Bases
Chapter 16. Inequalities
Chapter 17. Problems for the Second Year
Appendix A. Math Competitions
Appendix B. Answers, Hints and Solutions
Appendix Bibliographical references