恒等变换方法在数学分析中的应用

The Application of Identical Transformation in Mathematical Analysis

数学分析研究变量及变量间的依存关系,从某种意义上说,就是研究"变换"规律的,因而变换方法在这里更有用武之地,具有重要的作用.不仅许多具体问题的解决都普遍利用数学变换方法,而且一些理论问题的处理,也都借助于数学变换思维方法.将复杂的问题通过表达式上的恒等变形,转化为容易解决的若干问题,这就是恒等变换的主要特点.恒等变换在初等数学中已有广泛的应用,因而在数学分析也被当作熟知的方法.

Mathematical analysis studies the interdependence between variable and variable.In some sense,it is to study the discipline of transformation.Thus transformation method gives peculiar scope here.Many concrete issues are solved by mathematical transformation method and some theoretical problems are handled by it.To convert complicated issue to several easily solved issue through constant strain method is the main feature of identical transformation which has wide application.Therefore identical transformation is a known method in mathematical analysis.