This book features mathematical problems and results that would be
of interest to all mathematicians, but especially undergraduates
(and even high school students) who participate in mathematical
competitions such as the International Math Olympiads and Putnam
Competition. The format is a dialogue between a professor and eight
students in a summer problem solving camp and allows for a
conversational approach to the problems as well as some
mathematical humour and a few nonmathematical digressions. The
problems have been selected for their entertainment value,
elegance, trickiness, and unexpectedness, and have a wide range of
difficulty, from trivial to horrendous. They range over a wide
variety of topics including combinatorics, algebra, probability,
geometry, and set theory. Most of the problems have not appeared
before in a problem or expository format. A Notes section at the
end of the book gives historical information and references.
General
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