Murray Klamkin was a dedicated problem solver and problem proposer, who left indelible marks on the problemist community. After working in industry and academe in the United States, he spent the last 30 of his 84 years in Canada. He was famous for his Quickies, problems that have quick and neat solutions. In this book you will find all of the problems that he proposed for Crux and Mayhem, including all of his Quickies. His problems covered a very wide range of topics, and show a great deal of insight into what is possible in these areas. The problems are arranged into sets according to topic, and the lightly edited solutions are as published in Crux and Mayhem. Often multiple solutions are provided.
Table of Contents
Memorial Celebration of the Life of Murray Klamkin
2. Klamkin’s Problems in Crux Mathematicorum
3. The Klamkin Tribute Problems-2005
5. Klamkin’s Problems in Crux Mathematicorum
6. The Klamkin Tribute Problems-2005
Index of Proposers and Solvers
Index of Crux Problems
About the Editors
About the Editors
Andy Liu received a BS degree with First Class Honors in Mathematics from McGill University in 1970. He earned his MS in number theory (1972) and a Doctor of Philosophy in Combinatorics (1976) from the University of Alberta, Edmonton. Dr. Liu won a Minnesota Mining & Manufacturing Teaching Fellowship in 1998. He has won numerous teaching awards including: Canadian University Professor of the Year in 1998 (awarded by the Canadian Council for the Advancement of Education and the Council for the Advancement and Support of Education); the Canadian Mathematical Society’s Adrien Pouliot Education Award in 2003; and the Mathematical Association of America’s Deborah and Franklin Tepper Haimo Teaching Award in 2004. Dr. Liu is very well known in problem-solving circles. He won the David Hilbert International Award in 1996 from the World Federation of National Mathematics Competitions. He was the Deputy Leader (under Murray Klamkin) of the USA Mathematical Olympiad Team from 1981-1984; he later was the Leader of the Canadian IMO team.
Bruce Shawyer earned his Ph.D. in mathematics from the University of St. Andrews in the UK in 1963. He taught at the University of Nottingham from 1962-66 and at the University of Western Ontario from 1966-85. In 1985 he joined Memorial University as full professor, serving as head of the department of mathematics and statistics from 1985-91. Dr. Shawyer’s professional interests in mathematics research include approximation of the sums of slowly convergent series, the summability of series and integrals, and Euclidean geometry. In the area of mathematics education he is interested in mathematics enrichment, why certain mathematical ideas are not well-learned and the propagation of mathematics. He is founder of the mathematical challenge for junior high school students and former head coach of the Canadian team for the International Mathematical Olympiad. Dr. Shawyer has authored 118 publications and is currently Editor-in-chief of the ATOM (A Taste of Mathematics) book series. He has taught mathematics courses at all levels.