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.
Table of contents:
Part I: Problems. Algebra. Geometry and Trigonometry. Number Theory and Combinatorics.- Part II: Solutions. Algebra. Geometry and Trigonometry.Number Theory and Combinatorics. Glossary. Index of Notations. Index to the Problems.- Index.
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.
Table of contents:
Part I: Problems. Algebra. Geometry and Trigonometry. Number Theory and Combinatorics.- Part II: Solutions. Algebra. Geometry and Trigonometry.Number Theory and Combinatorics. Glossary. Index of Notations. Index to the Problems.- Index.