My reasons for writing this book may very well con-
tain a clue for its understanding and enjoyment.
First, there are a great many beautiful and elegant
facts and proofs in mathematics, which are published in
widely varying places, if at all. I would like to shout
about these problems froln the housetops, but have chosen
the more dignified, and probably more efficacious, method
of writing a book about them.

Second, many people consider mathematics to be a
very boring, complicated subject. I hope to show that
some facets of mathematics can be quite simple and in-
teresting, although they are not obviously so at first
glance.

Third, some of the most beautiful solutions of prob-
lems, of which I, alas, am not the originator, do not
appear anywhere to the best of my knowledge.

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