谈建构主义思想在实变函数论中的体现

Constructivist View on the Real Variable Function Theory

实变函数论是微积分知识的深化 ,在思想方法上却有着较大的飞跃 ,如何能够较好地适应这一过渡 ,是历来函数论学习的主要问题 .以建构主义的理论为基础 ,以实变函数论中Lebesgue积分的引入为例来探讨这部分知识结构的建构性本质 。

Real variable function theory is the development of calculus, while considerable leap is made in thought and method. How to adapt to this transition well is always the main problem in the study of real variable function theory . Basing on the theory of constructivism and the example of how to introduce Lebesgue calculus of real variable function theory, the author discusses the constructivism essence of its knowledge structure , and expects to be helpful to the study of the real variable function theory.