用确界原理证明Darboux定理

The Proof of Darboux Theorem via Principle of Supremum and Infimum

利用确界原理给出了它的新的证明方法,其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.Based on the study on various existing literatures,a further study on Darboux theorem is done and new proof is put forth by use of the principle of Supremum and Infimum.The proof train of thought distinguishes itself from other methods.