Mathematical Contests 1997-1998. Olympiad Problems and Solutions from around the World
By Titu Andreescu and Kiran Kedlaya (Editors)
* Publisher: American Mathematics Competitions
* Number Of Pages: 224
* Publication Date: 1999-01-01
* ISBN-10 / ASIN: B002KYPABI
Preface
This book is a continuation of Mathematical Olympiads 1996-1997: Olympiad Problems from Around the World, published by the American Mathematics Competitions. It contains solutions to the problems from 34 national and regional contests featured in the earlier book, together with selected problems (without solutions) from national and regional contests given during 1998.
This collection is intended as practice for the serious student who wishes to improve his or her performance on the USAMO. Some of the problems are comparable to the USAMO in that they came from national contests. Others are harder, as some countries first have a national olympiad, and later one or more exams to select a team for the IMO. And some problems come from regional international contests (\mini-IMOs").
Different nations have different mathematical cultures, so you will find some of these problems extremely hard and some rather easy. We have tried to present a wide variety of problems, especially from those countries that have often done well at the IMO.
Each contest has its own time limit. We have not furnished this information, because we have not always included complete exams. As a rule of thumb, most contests allow a time limit ranging between one-half to one full hour per problem.
Thanks to the following students of the 1998 and 1999 Mathematical Olympiad Summer Programs for their help in preparing and proofreading solutions: David Arthur, Reid Barton, Gabriel Carroll, Chi-Bong Chan, Lawrence Detlor, Daniel Katz, George Lee, Po-Shen Loh, Yogesh More, Oaz Nir, David Speyer, Paul Valiant, Melanie Wood. Without their efforts, this work would not have been possible. Thanks also to Alexander Soifer for correcting an early draft of the manuscript. The problems in this publication are copyrighted.
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