This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students, from 1929 to 1943. The competition is the oldest in the world, and started in 1894. Two earlier volumes in this series contain the papers up to 1928, and further volumes are planned. The current edition adds a lot of background material which is helpful for solving the problems therein and beyond. Multiple solutions to each problem are exhibited, often with discussions of necessary background material or further remarks. This feature will increase the appeal of the book to experienced mathematicians as well as the beginners for whom it is primarily intended.

This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students. There are multiple solutions to each problem, often with discussions of background material or further remarks. This will widen the appeal of the book beyond the beginners for whom it is primarily intended.

This book contains the problems and solutions of a famous Hungarian mathematics competition for high school students. There are multiple solutions to each problem, often with discussions of background material or further remarks. This will widen the appeal of the book beyond the beginners for whom it is primarily intended.

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.

The International Olympiad has been held annually since 1959; the U.S. began participating in 1974, when the Sixteenth International Olympiad was held in Erfurt, G.D.R.

In 1974 and 1975, the National Science Foundation funded a three week summer training session with Samuel L. Greitzer of Rutgers University and Murray Klamkin of the University of Alberta as the U.S. teams' coaches. Summer training sessions in 1976, 1977 were funded by grants from the Army Research Office and Office of Naval Research. To date the U.S. teams have consistently placed among the top three national scores: second in 1974(the USSR was first), third in 1975 (behind Hungary and the G.D.R) and 1976 (behind the USSR and Great Britain) and first in 1977.

Members of U.S. team are selected from the 100 top scorers on the Annual High School Examinations (see NML vols. 5, 17, 25) by subsequent competition in the U.S. Mathematical Olympiad.

In this volume the demonstrably effective coach and prime mover in planning the participation of the U.S.A. in the I.M.O., Samuel L. Greitzer, has compiled all the IMO problems from the First through the Nineteenth (1977) IMO and their solutions, some based on the contestants' papers.

The problems ae solvable by methods accessible to secondary school students in most nations, but insight and ingenuity are often required. A chronological examination of the questions throws some light on the changes and trends in secondary school mathematics curricula.