Problems and Solutions in Mathematical Olympiad :High School 3

The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China. The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level. In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Permutations and Combinations Solution 1: Permutations and Combinations Contents: Permutations and Combinations Binomial Coefficients Counting: Correspondence and Recursion Counting: Inclusion-Exclusion Principle Combinatorial Problems Exact Division Prime Numbers Congruence (1) Indeterminate (Diophantine) Equations (1) Problems in Number Theory Operations and Exact Division of Polynomials Zeros of Polynomials Polynomials with Integral Coefficients Interpolation and Difference of Polynomials Roots of Unity and Their Applications Generating Function Method Sets and Families of Subsets Graph Theory Problems Congruentce (2) Indeterminate Equations (2) Comprehensive Exercises Readership: Secondary school students engaged in mathematical competition, coaches in mathematics teaching, and teachers setting up math elective courses.