102 carefully selected problems (with solutions) used to train and test
the USA International Mathematical Olympiad (IMO) team are presented
here. Undergraduates in combinatorics and tangential areas and advanced
high school students will find a stimulating, practical choice of
topics, including combinatorial arguments and identities, generating
functions, graph theory, recursive relations, sums and products,
probability, number theory, polynomials, theory of equations, complex
numbers in geometry, algorithmic proofs, combinatorial and advanced
geometry, functional equations and classical inequalities.