"Mathematical Olympiad
Challenges" is a rich collection of problems put together by two
experienced and well-known professors and coaches of the U.S.
International Mathematical Olympiad Team. Hundreds of beautiful,
challenging, and instructive problems from algebra, geometry,
trigonometry, combinatorics, and number theory were selected from
numerous mathematical competitions and journals.
The problems are clustered by topic into
self-contained sections with solutions provided separately. All sections
start with an essay discussing basic facts and one or two
representative examples. A list of carefully chosen problems follows and
the reader is invited to take them on. Additionally, historical
insights and asides are presented to stimulate further inquiry. The
emphasis throughout is on encouraging readers to move away from routine
exercises and memorized algorithms toward creative solutions to
open-ended problems.
Key features of this work include:Problems
clustered in three self-contained sections Complete solutions provided
separately Background material, representative examples, and beautiful
diagrams to supplement each problem set Material successfully tested in
classrooms as well as in national and international competitions
Historical insights and asides presented to stimulate further inquiry
Aimed
at motivated high school and beginning college students and
instructors, this work can be used as a text for advanced
problem-solving courses, for self-study, or as a resource for teachers
and students training for mathematical competitions and for teacher
professional development, seminars, and workshops.
