Problems and Solutions in Mathematical Olympiad:High School 3
English | 2022 | ISBN: 9811229910 | 378 pages | True PDF | 10.43 MB
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.
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
