This is a rich collection of problems from the national Olympiads of Austria and Poland, which both have exceptionally strong traditions. The particular interest in the problems selected is that all have at least two independent solutions, highlighting one of the beauties of mathematics.
03 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques.
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
This book contains 102 highly selected combinatorial problems used in the training and testing of the USA International Mathematical Olympiad team. Half of the problems are introductory, while the rest are more difficult. All problems have complete solutions. . . It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in perparation for possible participation in mathematical competitions.
This book contains 101 highly rated problems used in training and testing the USA IMO Team. It gradually builds students’ algebraic skills and techniques and aims to broaden students’ views of mathematics and better prepare them for participation in mathematics competitions. It provides in-depth enrichment in important areas of algebra by reorganizing and enhancing students’ problem-solving tactics and stimulates interest for future study of mathematics. The problems are carefully graded, ranging from quite accessible towards quite challenging. The problems have been well developed and are highly recommended to any student aspiring to participate at National or International Mathematical Olympiads.