Problems from Murray Klamkin: The Canadian Collection
Andy Liu and Bruce Shawyer, editors
265 pp., hardcover, 2009. Series: Problem Books
ISBN: 978-0-88385-828-8
Murray Klamkin (1921-2004) was a dedicated problem solver and proposer. He was famous for his Quickies, problems that have quick and neat solutions. This book contains all the problems that Klamkin proposed for the Canadian problem solving journal Crux Mathematicorum, including all his Quickies.
The problems cover a wide range of topics and show a great deal of insight into what is possible in these areas. They are arranged by topic: combinatorics and number theory; functions and polynomials; expressions and identities; numerical approximations; algebraic inequalities; trigonometric inequalities; geometric inequalities; the triangle; Cevian lines; central symmetry; conic sections; solid geometry; higher dimensions; vectors and matrices; and calculus. The solutions appear as they were published in Crux Mathematicorum.
This book is part of the MAA's Problem Books series and is published in collaboration with the Canadian Mathematical Society.
Sample Quickie:
If A, B, C are three dihedral angles of a trihedral angle, show that sin A, sin B, sin C satisfy the triangle inequality.
Sample Problem:
On a 2n x 2n board we place n x 1 polyominoes (each covering exactly n unit squares of the board) until no more n x 1 polyominoes can be accommodated. What is the maximum number of squares that can be left vacant?
About the Editors:
Andy Liu is a professor of mathematics at the University of Alberta in Edmonton. He won the MAA's Deborah and Franklin Tepper Haimo Teaching Award in 2004. He is very well known in problem-solving circles and was Editor of the problem section of Math Horizons for seven years.
Bruce Shawyer is Professor Emeritus at Memorial University in St. John's, Newfoundland. 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.
Order Problems from Murray Klamkin from the MAA Bookstore or call 1.800.331.1622.
List: $61.50
MAA Member Price: $49.95