Olejar Books

"Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics. While it may be considered a sequel to ""Mathematical Olympiad Challenges,"" the focus of ""Treasures"" is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real world. The problems are clustered by topic into self-contained sections. Unlike ""Challenges,"" however, ""Treasures"" begins with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. This discussion then leads to more complicated and more intellectually challenging problems, as well as their solutions. "