Problems And Solutions In Mathematical Olympiad High School 3 Yu by Yu, Hong-bing 9789811229916, 9811229910 instant download after payment.

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