用确界原理证明Darboux定理  

The Proof of Darboux Theorem via Principle of Supremum and Infimum

作　　者：高心军[1] 

机构地区：[1]四川大学数学学院,四川成都610065

出　　处：《内江师范学院学报》2013年第8期16-18,共3页Journal of Neijiang Normal University

摘　　要：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.

关 键 词：确界原理 DARBOUX定理 局部保号性 

分 类 号：O172.1[理学—数学]