摘要
本文简略地介绍阿贝尔（ＮｉｅｌｓＨｅｎｒｉｋＡｂｅｌ，１８０２一１８２９）在数学方面的成就及阿贝尔方法，把对级数收敛性的几个判别定理的证明统一在阿贝尔方法之下，拓宽了它们的适用范围。
The mathematic achevements of Niels Henrik Abel(1802～1829)and Abel method have been introduced briefly in this paper. The proving of some criterion theorems about the convergence of the eseries have been integrated with Abel method.So,the ap- plying scope has been widened.
关键词
分部求和
判别定理
无穷级数
收敛性
summation by parts,convergence of series,crterion theorem
