This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving geometric inequalities.

Autorentext

Hayk Sedrakyan is an IMO medal winner Professor of mathematics in Paris, France and a professional Math Olympiad Coach in Greater Boston area, Massachusetts, USA. He has defended his PhD thesis in mathematics in UPMC-Sorbonne University, Paris, France.

Nairi Sedrakyan is involved in national and international Olympiads of mathematics, having been the President of Armenian Mathematics Olympiads and IMO jury member. He is the author of one of the hardest problems ever proposed in the history of IMO.

Inhalt

Theorem on the Length of the Broken Line.- Application of Projection Method.- Areas.- Application of Trigonometric Inequalities.- Inequalities for Radiuses.- Miscellaneous Inequalities.- Some Applications of Geometric Inequalities.