This is the third volume of problems that cover the USA
Mathematical Olympiad (USAMO) and the International Mathematical
Olympiad (IMO) to be published by the MAA in its Problem Book
series. The aims of the IMO are: to discover, encourage and
challenge mathematically gifted young people in all countries; to
foster friendships between mathematicians around the world; and to
create an opportunity for the exchange of information on school
syllabi and practice throughout the world. The USAMO and the Team
Selection Test (TST) are the last two stages of the selection
process leading to representing the USA in the IMO. The preceding
examinations are the AMC 10 or AMC 12 and the American Invitational
Mathematics Examination (AIME). Participation in the AIME, USAMO,
and the TST is by invitation only, based on performance in the
preceding exams of the sequence. All of these contests identify and
recognize young gifted mathematicians while they are still in
secondary school. Participation in these competitions provides them
with the chance to measure themselves against other exceptional
students from all over the world.
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