The Colorado Mathematical Olympiad: The Third Decade and Further Explorations : From the Mountains of Colorado to the Peaks of Mathematics

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The Colorado Mathematical Olympiad: The Third Decade and Further Explorations : From the Mountains of Colorado to the Peaks of Mathematics

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by Alexander Soifer
本文言語:
英語
出版情報:
Cham, Germany. 2017-. Springer International Publishing,Imprint: Springer
概要:
Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year. This book presents a year-by-year history of the CMO from 2004–2013 with all the problems from the competitions and their solutions. Additionally, the book includes 10 further explorations, bridges from solved Olympiad problems to ‘real’ mathematics, bringing young readers to the forefront of various fields of mathematics. This book contains more than just problems, solutions, and event statistics — it tells a compelling story involving the lives of those who have been part of the Olympiad, their reminiscences of the past and successes of the present. I am almost speechless facing the ingenuity and inventiveness demonstrated in the problems proposed in the third decade of these Olympics. However, equally impressive is the drive and persistence of the originator and living soul of them. It is hard for me to imagine the enthusiasm and commitment needed to work singlehandedly on such an endeavor over several decades. —Branko Grünbaum, University of Washington After decades of hunting for Olympiad problems, and struggling to create Olympiad problems, he has become an extraordinary connoisseur and creator of Olympiad problems. The Olympiad problems were very good, from the beginning, but in the third decade the problems have become extraordinarily good. Every brace of 5 problems is a work of art. The harder individual problems range in quality from brilliant to work-of-genius… The same goes for the “Further Explorations” part of the book. Great mathematics and mathematical questions are immersed in a sauce of fascinating anecdote and reminiscence. If you could have only one book to enjoy while stranded on a desert island, this would be a good choice. —Peter D. Johnson, Jr., Auburn University 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 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. 続きを見る
目次:
Twenty-First Colorado Mathematical Olympiad: April 16, 2004
Twenty-Second Colorado Mathematical Olympiad: April 22, 2005 .-Twenty-Third Colorado Mathematical Olympiad: April 21, 2006
Twenty-Fourth Colorado Mathematical Olympiad: April 20, 2007
Twenty-Fifth Colorado Mathematical Olympiad: April 18, 2008 .-Twenty-Sixth Colorado Mathematical Olympiad: April 17, 2009 .-Twenty-Seventh Colorado Mathematical Olympiad: April 23, 2010
Twenty-Eighth Colorado Mathematical Olympiad: April 22, 2011
Twenty-Ninth Colorado Mathematical Olympiad: April 20, 2012
Thirtieth Colorado Mathematical Olympiad: April 26, 2013
A Round Table Discussion of the Olympiad,or Looking Back from a 30-Year Perspective
E21. Cover-Up with John Conway, Mitya Karabash, and Ron Graham
E22. Deep Roots of Uniqueness
E23. More about Love and Death
E24. One Amazing Problem and its Connections to Everything: A Conversation in Three Movements
E25. The Story of One Erdős Problem
E26. Mark Heim’s Proof
E27. Coloring Integers – Entertainment of Mathematical Kind -E28. The Erdős Number and Hamiltonian Mysteries
E29. One Old Erdős–Turán Problem
E30. Birth of a Problem: The Story of Creation in Seven Stages
Movement 1. The Colorado Mathematical Olympiad is mathematics; it is sport; it is art. And it is also community, by Matthew Kahle
Movement 2. I've begun paying off my debt with new kids, by Aaron Parsons
Movement 3. Aesthetic of Personal Mastery, by Hannah Alpert
Movement 4. Colorado Mathematical Olympiad: Reminiscences by Robert Ewell. .
Twenty-First Colorado Mathematical Olympiad: April 16, 2004
Twenty-Second Colorado Mathematical Olympiad: April 22, 2005 .-Twenty-Third Colorado Mathematical Olympiad: April 21, 2006
Twenty-Fourth Colorado Mathematical Olympiad: April 20, 2007
Twenty-Fifth Colorado Mathematical Olympiad: April 18, 2008 .-Twenty-Sixth Colorado Mathematical Olympiad: April 17, 2009 .-Twenty-Seventh Colorado Mathematical Olympiad: April 23, 2010
Twenty-Eighth Colorado Mathematical Olympiad: April 22, 2011
Twenty-Ninth Colorado Mathematical Olympiad: April 20, 2012
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