Title Colorado Mathematical Olympiad : the first twenty years and further explorations / by Alexander Soifer

Edition 2nd ed Published New York ; London : Springer, 2011

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Description 1 online resource 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 Dirichletâ€?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 Summary 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 Olympiad. The reader will meet Olympians and follow their paths as professionals. In the vast field of competition books, this book is unique, for it builds bridges between Olympiads and "real" mathematics by demonstrating through 20 "Further Explorations," the trains of mathematical thought, showing how a solved Olympiad problem gives birth to deeper problems and leads to the forefront of mathematical research full of striking results and open problems. Like Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph. -- Cecil Rousseau Chair, USA Mathematical Olympiad Committee ... this book is not so much mathematical literature as it is literature built around mathematics ... with the Further Explorations sections, anyone so inclined could spend a lifetime on the mathematics sprouting from this volume. --Peter D. Johnson, Jr., Auburn University I finished reading the book in one sitting - I just could not put it down. Professor Soifer has indebted us all by first making the effort to organize the Colorado Mathematical Olympiads, and then making the additional effort to tell us about it in such an engaging and useful way. --Branko Grünbaum, University of Washington A delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved. --Paul Erdős The book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise. --Martin Gardner Analysis wiskunde mathematics meetkunde geometry algebra getallenleer number theory Mathematics (General) Wiskunde (algemeen) Notes English Print version record SUBJECT Soifer Mathematical Olympiad -- History Soifer Mathematical Olympiad fast Subject Mathematics -- Competitions -- Colorado -- Colorado Springs Matemáticas -- Campeonatos y competiciones Mathematics -- Competitions Colorado -- Colorado Springs Genre/Form History Form Electronic book ISBN 9780387754727 0387754725 9780387754710 0387754717

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