高等数学中的RMI原则应用实例

摘要

关系映射反演思维是数学中的一种重要思维方法,在许多数学问题的求解中可以通过关系映射反演思维达到化繁为简.研究了RMI原则在函数求导、不定积分计算、微分方程求解、傅里叶级数展开以及数学建模中的应用,目的是培养学生创新思维能力和科学研究的思想方法.%Relation-mapping-inverse rule is one of the most important mathematics thinking method,which can be used to solve many mathematical problems by changing difficult to brief.In order to cultivate the creative thinking and scientific research method of the students,explored the application of RMIrule in advanced mathematics, including derivative of functions,the calculation of indefinite integral,the differential equation,Fourier series and mathematical modeling.