International Mathematical Olympiads 1986–1999

International Mathematical Olympiads 1986–1999

Compiled and with solutions by Marcin E. Kuczma
Series: Problem Books
Copyright Date: 2003
Edition: 1
Pages: 203
https://www.jstor.org/stable/10.4169/j.ctt7zsz20
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  • Book Info
    International Mathematical Olympiads 1986–1999
    Book Description:

    The International Mathematical Olympiad (IMO) is a widely renowned international competition in high school mathematics that has been conducted annually since 1959 (with the single exception of the year 1980). Several hundred incredibly gifted high school students from several dozen countries compete each year, taking a two-day examination consisting of three truly difficult problems to be solved each day. The IMO is a challenge to the mental skills of its participants. There are those who win medals and those who, while losing in the narrow sense, gain immeasurably from the intensity of the effort and the competition. This book is a sequel to two earlier MAA publications (NML27 and NML31) by Samuel L. Greitzer and Murray S. Klamkin, which covered the first twenty-six International Mathematical Olympiads. This volume includes all of the Olympiad problems from 1986 through 1999. Each problem is given with a solution (and often more than one). Occasionally, solutions are accompanied by remarks, in which alternative approaches, generalizations of the problem, or the relevance of the problem to some mathematical theory are given. The book is addressed mainly to high school students preparing for participating in mathematics competitions, and to their teachers. However, anyone interested in problem solving will enjoy these problems.

    eISBN: 978-1-61444-402-2
    Subjects: Mathematics

Table of Contents

  1. Front Matter
    (pp. i-iv)
  2. Table of Contents
    (pp. v-vi)
  3. Preface
    (pp. vii-viii)
    Marcin E. Kuczma
  4. How the Book Is Organized
    (pp. ix-x)
  5. Problems
    (pp. 1-16)
  6. Solutíons
    (pp. 17-150)
  7. Results
    (pp. 151-176)

    The following tables give a summary of results of the IMOs from 1986 to 1999, listed by countries. At all these IMOs, each participating country’s team normally consisted of six contestants. In those cases where the team size was less than six, this is indicated by the number in parentheses.

    Each contestant’s solution to each problem was allocated a score out of a maximum of seven points. Thus the joint score of all contestants from one country could reach a maximum of 252 points.

    According to the IMO Regulations, approximately a half of the total number of contestants at each...

  8. Líst of Symbols
    (pp. 177-178)
  9. Glossary of Frequently Used Terms and Theorems
    (pp. 179-186)
  10. Subject Classífícatíon
    (pp. 187-188)
  11. Bíblíography
    (pp. 189-191)
  12. Back Matter
    (pp. 192-192)