The Colorado Mathematical Olympiad: The Third Decade and Further Explorations
From the Mountains of Colorado to the Peaks of Mathematics
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Beschreibung
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 UniversityLike 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
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 WashingtonAfter 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. 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 CommitteeA delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved.—Paul ErdősThe 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
Bridges Olympiad problems with “real” mathematics by showing how solved Olympiad problems flower into deeper problems, leading the reader to the forefront of mathematical research Presents unsolved problems giving a head start to young mathematicians beginning their mathematical research Appeals to both serious and recreational mathematicians at all levels of expertise Presents numerous unsolved problems in mathematics Pairs excellent mathematical content with artful exposition? Includes supplementary material: sn.pub/extras
Autor*in
Alexander Soifer
Themen in »The Colorado Mathematical Olympiad: The Third Decade and Further Explorations«
Advanced high school mathematics Colorado Olympiad Mathematical Olympiad Olympiad problems Erdös problem Schur theorem Colored Plane problem solving high school
Stimmen zu »The Colorado Mathematical Olympiad: The Third Decade and Further Explorations«
“The book under review presents a year-by-year history of the Colorado Mathematical Olympiad from 2004 to 2013 with all the problems from the competitions and their solutions. … this book offers a great treasure of interesting problems, potential avenues of exploration and research for students, and new insights into solving elementary problems. No library will want to be without a copy, nor will anyone involved in mathematics competitions at this level.” (Teodora-Liliana Rădulescu, zbMATH 1371.97003, 2017)
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