Alternating series is a focal and difficult point in the mathematical analysis. It mainly includes the convergence theorems and the certification process. This paper focuses on discussing the relationships between the rearrangement and the alternating series. Through the definition of almost monotonicity of series, the study explores in what conditions that a convergent alternating series still be convergent when it is rear- ranged, and gives relevant proof.
原文出处：汉斯《理论数学》期刊Vol. 4 No. 1 (January 2014)----数列的几乎单调性和交错级数的重排Series of Almost Monotonicity and Alternating Series Rearrangement
