Colorado Mathematical Olympiad the first twenty years and further explorations /
This book presents the 20-year account of the Colorado Mathematical Olympiad -- its dreams and rewards, hard work and conflict. It features more than just original wonderful problems and their ingenious solutions; it tells a compelling story involving the lives of those who have been part of the Oly...
| Main Author: | Soifer, Alexander. |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York ; London :
Springer,
2011.
New York ; London : 2011. |
| Physical Description: |
1 online resource. |
| Edition: | 2nd ed. |
| Subjects: |
Table of Contents:
- The Colorado Mathematical Olympiad and Further Explorations
- Forewords to The Colorado Mathematical Olympiad and Further Explorations
- Forewords to Colorado Mathematical Olympiad
- Contents
- Greetings to the Reader: Preface to The Colorado Mathematical Olympiad and Further Explorations
- Preface to Colorado Mathematical Olympiad
- Part I The First Ten Years
- Colorado Mathematical Olympiad: How it Started and What it has Become
- Three Celebrated Ideas
- Arguing by Contradiction
- Pigeonhole Principle (Also Known as Dirichlet�s Principle)
- First Colorado Mathematical Olympiad: April 27, 1984 Historical Notes 1
- Second Colorado Mathematical Olympiad: April 19, 1985
- Historical Notes 2
- Third Colorado Mathematical Olympiad: April 18, 1986
- Historical Notes 3
- Fourth Colorado Mathematical Olympiad: April 17, 1987
- Historical Notes 4
- Fifth Colorado Mathematical Olympiad: April 22, 1988
- Historical Notes 5
- The Sixth Colorado Mathematical Olympiad: April 21, 1989
- Historical Notes 6
- Seventh Colorado Mathematical Olympiad: April 27, 1990
- Historical Notes 7.
- Eighth Colorado Mathematical Olympiad: April 26, 1991 Historical Notes 8
- Ninth Colorado Mathematical Olympiad: April 24, 1992
- Historical Notes 9
- Tenth Colorado Mathematical Olympiad: April 23, 1993
- Historical Notes 10
- Part II Further Explorations
- Introduction to Part II
- E1. Rooks In Space
- Inspired by Problem 1.5
- E2. Chromatic Number of the Plane (My Favorite Open Problem)
- Inspired by Problem 3.2
- E3. Polygons in a Colored Circle, Polyhedra in a Colored Sphere
- Inspired by Problem 3.3
- E4. How Does One Cut a Triangle?
- Inspired by Problem 4.4E5. Points in Convex Figures
- Inspired by Problems 5.4(A), 5.4(B), 5.5(A), and 5.5(B)
- E6. Triangles in a Colored Plane
- Inspired by Problems 7.5(A), 7.5(B)
- E7. Rectangles in a Colored Plane
- Inspired by Problems 8.5(A), 8.5(B)
- E8. Colored Polygons
- Inspired by Problem 8.2
- E9. Infinite-Finite
- Inspired by Problems 5.3, 10.4(A), and 10.4(B)
- E10. The Schur Theorem1
- Inspired by Problem 7.6
- Part III The Second Decade
- The Olympiad: How It Has Continued and What It Has Become.
- Eleventh Colorado Mathematical Olympiad: April 22, 1994 Historical Notes 11
- For the First Time Ever a Freshman Wins
- Twelfth Colorado Mathematical Olympiad: April 28, 1995
- Historical Notes 12
- Travis Kopp repeats as the winner of the Colorado Mathematical Olympiad
- Thirteenth Colorado Mathematical Olympiad: April 19, 1996
- Historical Notes 13
- Top young Colorado mathematician wins a computer made by Apple people of Colorado
- Fourteenth Colorado Mathematical Olympiad: April 25, 1997
- Historical Notes 14.