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Newton identities的初等证明及应用
引用本文:胡小平.Newton identities的初等证明及应用[J].绵阳师范学院学报,2010,29(2):10-14,24.
作者姓名:胡小平
作者单位:绵阳师范学院数学与计算机科学学院,四川绵阳,621000
摘    要:Newton identities是一个在初等数学领域中非常重要的恒定式,灵活巧妙地应用Newton identities及推论,可以使一些较为困难的问题迎刃而解。该文在对Newton identities及推论进行初等证明的基础上,论述了它在高师院校数学学院专业课程初等数论、竞赛数学、初等代数研究选讲中的应用。

关 键 词:Newton  identities  证明  应用

Elementary Proof and Application of Newton identities
HU Xiao-ping.Elementary Proof and Application of Newton identities[J].Journal of Mianyang Normal University,2010,29(2):10-14,24.
Authors:HU Xiao-ping
Institution:School of Mathematics and Computer Science/a>;Mianyang Normal University/a>;Mianyang/a>;Sichuan 621000
Abstract:Newton identities are very important constant types in elementary mathematics.Clever and flexible application of Newton identities and the inferences can solve effectively some of the difficult problems.This paper,based on the primary evidence of Newton identities and the inferences,discusses the application of Newton identities in such normal university courses as elementary number theory,competition mathematics and elementary algebra.
Keywords:Newton identities  proof  application  
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