Designed for high-school students and teachers with an interest in
mathematical problem-solving, this stimulating collection includes more
than 300 problems that are off the beaten path -- i.e., problems that
give a new twist to familiar topics that introduce unfamiliar topics.
With few exceptions, their solution requires little more than some
knowledge of elementary algebra, though a dash of ingenuity may help.
Readers will find here thought-provoking posers involving equations and
inequalities, diophantine equations, number theory, quadratic equations,
logarithms, combinations and probability, and much more. The problems
range from fairly easy to difficult, and many have extensions or
variations the author calls challenges.
By studying these nonroutine problems, students will not only stimulate
and develop problem-solving skills, they will acquire valuable
underpinnings for more advanced work in mathematics.