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高等代数在数学分析解题中的某些应用
引用本文:凌征球,龚国勇,龚文振.高等代数在数学分析解题中的某些应用[J].玉林师范学院学报,2010,31(5):34-37.
作者姓名:凌征球  龚国勇  龚文振
作者单位:[1]玉林师范学院数学与计算机科学系副教授,广西玉林537000 [2]玉林师范学院数学与计算机科学系教授,广西玉林537000
摘    要:数学分析中的某些问题,如果使用分析中的方法解决,其过程可能相当烦琐,但若结合高等代数中的方法,那么问题解决起来会相当简单.文章探讨了高等代数方法在数学分析中的某些应用,揭示了这两门专业基础课程之间的密切相互联系.

关 键 词:正定二次型  正交变换  正交矩阵

Some Applications of Higher Algebra in Mathematics Analysis Solving Problem
LING Zheng-qiu,GONG Guo-yong,GONG Wen-zhen.Some Applications of Higher Algebra in Mathematics Analysis Solving Problem[J].Journal of Yulin Teachers College,2010,31(5):34-37.
Authors:LING Zheng-qiu  GONG Guo-yong  GONG Wen-zhen
Institution:1.Associate Professor,Department of Mathematics and Computer Science,Yulin Normal University,Yulin,Guangxi 537000)(2.Professor,Department of Mathematics and Computer Science,Yulin Normal University,Yulin,Guangxi 537000)
Abstract:Several problems in mathematical analysis may be inconvenient if they are solved by means of analysis.However,they are quite easy if combining the methods higher algebra.In this paper,some applications of higher algebra methods in analysis are discussed,and the connection of the two two special basic courses are showed.
Keywords:positive-defined quadratic form  orthogonal transformation  orthogonal matrix
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