组合恒等式的证明方法

The Proof Methods of Combinatorial Equation

本文对组合恒等式的证明方法进行了归纳、总结与比较.将证明方法分为了五大类:定义证明法,归纳法,二项式法,组合意义法以及求导积分法,解析各种证明方法的基本思路,并给出了相应的例题.

This paper provides the proof methods of combinatorial equation,compares and sum up these methods.These methods are divided into five categories：definitional method,inductive method,binominal method,derivative and integral method,and combinatorial meaning method.Moreover,this paper analyzes the basic idea of these methods,and gives related examples.