本书对各种数学竞赛中的问题加以甄选和整理，并加以讲解。另一方面通过讲解，帮助学生更好地理解其中蕴含的理论和思路。本书按照高三年级区分，结合高一教材，将课堂知识与奥林匹克数学竟赛相结台，强化基础，拔高难度，注重培养学生的学科兴趣和探索能力。

余红兵，苏州大学数学科学学院教授、博士生导师，理学博士。主要研究方向是数论，并长期有兴趣于数学普及工作，著作主要有《不定方程》、《奥数教程（高三年级）》、《构造法解题》等。

Preface
1.Permutations and Combinations
2.Binomial Coefficients
3.Counting: Correspondence and Recursion
4.Counting: Inclusion-Exclusion Principle
5.Combinatorial Problems
6.Exact Division
7.Prime Numbers
8.Congruence (1)
9.Indeterminate (Diophantine) Equations (1)
10.Problems in Number Theory
11.Operations and Exact Division of Polynomials
12.Zeros of Polynomials
13.Polynomials with Integer Coefficients
14.Interpolation and Difference of Polynomials
15.Roots of Unity and Their Applications
16.Generating Function Method
17.Sets and Families of Subsets
18.Graph Theory Problems
19.Congruence (2)
20.Indeterminate Equations (2)
Comprehensive Exercises
Solutions
1.Permutations and Combinations
2.Binomial Coefficients
3.Counting: Correspondence and Recursion
4.Counting: Inclusion-Exclusion Principle
5.Combinatorial Problems
6.Exact Division
7.Prime Numbers
8.Congruence (1)
9.Indeterminate (Diophantine) Equations (1)
10.Problems in Number Theory
11.Operations and Exact Division of Polynomials
12.Zeros of Polynomials
13.Polynomials with Integer Coefficients
14.Interpolation and Difference of Polynomials
15.Roots of Unity and their Applications
16.Generating Function Method
17.Sets and Families of Subsets
18.Graph Theory Problems
19.Congruence (2)
20.Indeterminate Equations (2)
Comprehensive Exercises