Hungarian Problem Book IV, Book 4

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Robert Barrington Leigh, Andy Liu
MAA, 2011 - Mathematics - 115 pages
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The Kürschák Mathematics Competition is the oldest high school mathematics competition in the world, dating back to 1894. This book is a continuation of Hungarian Problem Book III and takes the contest through 1963. Forty-eight problems in all are presented in this volume. Problems are classified under combinatorics, graph theory, number theory, divisibility, sums and differences, algebra, geometry, tangent lines and circles, geometric inequalities, combinatorial geometry, trigonometry and solid geometry. Multiple solutions to the problems are presented along with background material. There is a substantial section entitled 'Looking Back', which provides additional insights into the problems. Hungarian Problem Book IV 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 against the solutions presented in the book. They will find ample material in each section to help them improve their problem-solving techniques.
 

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Contents

Kürschák Mathematics Competition Problems
1
Background
9
Solutions to Problems
21
Looking Back
95
About the Editors
131
Copyright

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About the author (2011)

Robert Barrington Leigh was one of the very best students of Andy Liu's Saturday Mathematical Activities, Recreations and Tutorials program. Later in life, Leigh won two Bronze Medals at the International Mathematical Olympiad. He has also won seventh to sixteenth place in the Putnam Competitions from the three times he participated. Tragically he died before he could enter the Competition for the fourth time.Andy Liu received a BS degree with First Class Honors in Mathematics from McGill University in 1970. He earned his MS in Number Theory and a Doctorate of Philosophy in Combinatorics from the University of Alberta, Edmonton. Dr. Liu has earned numerous teaching awards and 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 Deput Leader (under Murray Klamkin) of the USA Mathematical Olympiad Team from 1981-1984.

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