Description
Book SynopsisThe 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 brand in China.The series is in line with the mathematics cognition and intellectual development level of the students in the corresponding grade. The volume lines up the topics in each chapter and introduces a variety of concepts and methods to provide with the knowledge, then gradually transitions to the competition level. The content covers all the hot topics of the competition.In each chapter, there are packed with many problems including some real competition questions which students can use to verify their abilities. Selected detailed answers are provided. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this series.
Table of ContentsPermutation and Combination; Binomial Coefficients; Counting: Correspondence and Recursion; Counting: Inclusion-Exclusion Principle; Combinatorial Problem; Exact Division; Prime Number; Congruence (1); Indeterminate (Diophantine) Equation (1); Problems in Number Theory; Operations and Exact Division of Polynomials; Zeros of Polynomial; Polynomials with Integral Coefficients; Interpolation and Difference of Polynomials; Root of Unity and Its Applications; Generating Function Method; Set and Family of Subsets; Graph Theory Problems; Congruentce (2); Indeterminate Equation (2); Comprehensive Exercises;
