用区间套定理证明Darboux定理

Prove Darboux Theorem with Nestal Theorem

Darboux定理是数学分析中的一个重要定理.在已有文献的基础上,对该定理作了进一步的研究,利用区间套定理给出了它的新的证明方法.证明思路与现有的其它证明思路是不同的.

Darboux theorem is an important theorem of Mathematical Analysis. In this paper, based on the study on various literitures, further study on Darboux theorem has been done and new proof is given about it with nestal Interval theorem. The thought which is adopted is different from other thought in the other proof in this paper.