This book contains 320 unconventional problems in algebra,
arithmetic, elementary number theory, and trigonometry. Most of these
problems first appeared in competitive examinations sponsored by the
School Mathematical Society of the Moscow State University and in
the Mathematical Olympiads held in Moscow. The book is designed
for students having a mathematical background at the high school
level;^ very many of the problems are within reach of seventh and
eighth grade students of outstanding ability. Solutions are given
for all the problems. The solutions for the more difficult problems
are especially detailed.
The third (Russian) edition differs from the second chiefly in the
elimination of errors detected in the second edition. Therefore, the
preface to the second edition is retained.