数学奥林匹克在中国

本书介绍了从1986年至2013年的国际数学奥林匹克竞赛在中国的发展情况，并着重介绍了从1986年以来历届国际数学奥林匹克竞赛的试题及解答技巧，最后介绍了历届中国数学奥林匹克竞赛试题。

欧阳维诚，湖南省宁远县人。1960年毕业于湖南师范大学数学系。我国知名的易学家和数学教育家。
欧阳维诚用数学方法系统地研究《周易》，首先提出“易卦是六维布尔向量”的观点。有名哲学家张岱年先生称“此说为《周易》研究开辟了一条新途径”，“持之有故，言之成理，确然成一家之言。”著有《周易新解》《周易的数学原理》《易学与数学奥林匹克》《文学中的数学》《数学——科学与人文的共同基因》《唐诗与与数学》《语言与数学》等书。
叶思源，中山大数学与计算科学学院副教授，硕士研究生导师，中国数学奥林匹克高级教练员。
1966年毕业于中山大学数学力学系（研究生)，研究常微分方程稳定性、微分包含等方向；1979-1999年任教于中山大学数学系；从1981年开始从事数学奥林匹克培训、命题及研究工作；2004-2008年，应澳门教育暨青年局邀请在澳门从事奥数教学工作。在执教的20多年中，多次为数学竞赛命题，共培训学生逾万人次，多人次获奖，其中包括IM0金牌2块。

Chapter 1 Mathematical Olympiad in China
1.1 International Mathematical Olympiad (IMO) and China Mathematical Contest-Written before the 31st IMO
1.1.1 A Brief Introduction to IMO
1.1.2 A Historic Review of China Mathematical Contest
1.1.3 Activities of China in the IMO and the 31st IMO

Chapter 2 Olympiad's Mathematics
2.1 The Application of Projective Geometry Methods to Problem Proving in Geometry
2.1.1 A Few Concepts in Projective Geometry
2.1.2 Some Examples
2.1 3 Exercises
2.2 A Conjecture Concerning Six Points in a Square
2.3 Modulo-Period Sequence of Numbers
2.3.1 Basic Concepts
2.3.2 Pure Modulo-period Sequence
2.3.3 The Periodicity of Sum Sequence
2.3.4 The Relation between the Period and the Initial Terms
2.4 Iteration of Fractional Linear Function and Consturction of a Class of Function Equation
2.5 Remarks Initiating from a Putnam Mathematics Competition Problem
2.5.1 Introductory Remarks
2.5.2 The Proof of the Problem
2.5.3 Reinforcing the Promble
2.5.4 Application
2.5.5 Mutually Supplementary Sequences and Reversible Sequences
2.6 The Ways of Finding the Best Choise Point
2.6. 1 The Congruent Transformation of Figures
2.6.2 Similarity Transformation of Figures
2.6.3 Partial Adjusting Method
2.6.4 The Contour Line Method
2.6.5 Algebraic Method
2.6.6 Trigonometrical Method
2.6.7 Analytic Method
2.6.8 Solution by Fermat Point Theorem
2.6.9 The Area Method
2.6.10 Physical Method
2.7 The Formulas and Inequalities for the Volumes of n-Simplex
2.8 The Polynomial of Inverse Root and Its Transformation
2.8.1 The Extension of an IMO Problem
2.8.2 The Inverse Root Polynomial
2.8.3 Trigonometric Formula of Recurrence Type
2.8.4 Inverse Root Polynomial Transformation

Chapter 3 Suggestions and Answers of Problems
3.1 Remarks on Proposing Problems for Mathematics Competition
3.2 A Problem ofIMO and a Useful Polynomial
3.2.1 Introduction
3.2.2 The Proof of the Problem
3.2.3 Some Properties of F(x)
3.2.4 Fm(x) and Some IMO Problems
3.2.5 An Existence Problem
3.3 Preliminary Approach to Methods of Proposing Mathematics Competition Problems
……
Chapter 4 Comment on the Exam Paper of Mathematical Olympiad Winter Camp in China
Chapter 5 Cluna Mathematical Olympiad from the First to the Lastest