The Eötvös Mathematics Competition is the oldest high school mathematics competition in the world, with a tradition dating back to 1894. In 1963, the first two Hungarian problem books were published in the Anneli Lax New Mathematical Library by the MAA. This book is a continuation of those volumes taking the competition through 1943. Forty-five problems in all are presented in six chapters. Problems are classified into five groups: combinatorics, number theory, algebra, and geometry (in two parts). Multiple solutions to the problems are presented along with generalizations and remarks. Carefully chosen material that enhances the problems is also included. This book is intended for beginners, although the experienced student will find much here. Beginners are encouraged to work the problems in each section, and then to compare their results with the solutions presented in the book. They will find much material in each section to aid them in improving their problem-solving techniques.
Table of Contents
List of Winners
Eotvos Mathematics Competition Problems
Number Theory Problems
Geometry Problems Part I
Geometry Problems Part II
About the Author
Andy Liu was born in mainland China. He received his Ph.D. in mathematics and graduate diploma in elementary education from the University of Alberta, were he is now a full professor of mathematics. He has received numerous awards for teaching, including the Rutherford Award for Undergraduate Teaching from the University of Alberta, the 1998 Canadian University Professor of the Year Award from the Council for the Advancement and Support of Education, a Teaching Fellowship from Minnesota Mining & Manufacturing, and the David Hilbert International Award from the World Federation of National Mathematics Competitions. He has been active in both the Mathematical Association of America and the Canadian Mathematical Society. A protégé of world-famous problemist Murray Klamkin, he has been deeply involved in the International Mathematical Olympiad Competitions. He has served both as deputy leader of the USA team, and leader of the Canadian Team. He has translated and edited Chinese Mathematical Competitions: (1981-1993).