构造法在数学分析中的应用

Application of Structured Approach to Mathematical Analysis

数学构造法是数学研究中一个既传统又基本的方法,具有试探性、不规律性、创造性、直观性、可行性和灵活性的特点。本文通过构造数学模型,探讨数学分析中的构造法,总结了不同类型构造法实现的途径和方法,如构造不等式、构造函数、构造级数、构造积分、构造反正法等,从而体现构造法在数学分析中的应用.

Structured approach is a traditional but fundamental method in mathematical studies with its tentativeness, irregularity, creativity, visibility and flexibility. The paper deals with the approach in mathematical analysis by formulating mathematical models and generalizes the means to realize structural approaches of various types, like the construction of inequality, function, progression, integral and reduction to absurdity, etc., to demonstrate the application of the approach to mathematical analysis