关于某些函数的性质讨论

关于某些函数的性质讨论

 
摘要
函数是数学中最重要的概念之1，它既是数学研究的对象，又是解决数学问题的基本思想方法.函数对数学发展的作用是不可估量的，它不仅使人类数学思维发生了质的飞跃，而且导致了数学科学的蓬勃发展，在数学的各个分支中都起着重要作用.在初、高等数学中，在物理、化学和其它自然学科中，在经济领域和社会科学中，均有着广泛的应用，起着基础的作用.本文着重从几个方面如映射、函数的复合、反函数等深刻阐述了函数的性质，且重点讨论了映射、几种特殊函数的性质和应用.

关键词：函数；映射；反函数；特征函数；极限
On the discussions of some functions characters

Abstract
Function is one of the most important concepts in mathematics. It is not only the object of mathematical research, but also a basal way of thought to resolve mathematical questions, which plays a significant role in all the branches of mathematics. In the higher mathematics, in physics, chemistry and other natural disciplines, in the economical domain and the social sciences, it has the widespread application, and is playing the foundation role. This paper is committed to expatiate on the attribute of the functions profoundly from several aspects such as the mapping, inverse functions, compound function and etc and discuss the attributes of mapping and several special functions energetically.

Key words: function, mapping, inverse, function, Eigen function, extremity