Problems and Solutions in Mathematical Olympiad

图书简介

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 *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.

Concepts and Arithmetic of Sets; Number of Elements in aFinite Set; Quadratic Functions; Graphs and Properties of Functions; Powers, Exponentials and Logarithms; Functions with Absolute Values; The Maximum and Minimum of a Function; Properties of Inequalities; Basic Inequalities; Solving Inequalities; Miscellaneous Problems on Inequalities; Concepts and Properties of Trigonometric Functions; Identical Transformation in Trigonometry; Trigonometric Inequalities; Extrema of Trigonometric Expressions; Inverse Trigonometric Functions and Trigonometric Equations; The Sine Law and the Cosine Law; Concepts and Arithmetic of Vectors; Angles and Distances in Space; Cross Section, Folding and Spreading; Projection and the Area Projection Theorem; Partition of Sets; Miscellaneous Problems on Quadratic Functions; Extremum of Discrete Objects; Simple Function Iteration and Functional Equations; Constructing Functions to Solve Problems; Vector and Geometry; Tetrahedrons; The Five Centers of a Triangle; Some Famous Theorems in Plane Geometry; The Extremal Principle

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Problems and Solutions in Mathematical Olympiad 奥数教程（高中*分册） 数论

Problems and Solutions in Mathematical Olympiad

奥数教程（高中*分册）
数论