高等代数与数学分析相互渗透溶合应用研究Research on Mutual Application of Advanced Algebra and Mathematical Analysis Theory

Abstract: Theory in mathematical analysis is different from that in advanced algebra and related problems in higher algebra. The problems discussed and the methods to solve the problems are different, but there is a close relationship between them. This paper illustrates the mutual penetration and integration of mathematical analysis and related problems in higher algebra by some examples, we present a method to solve algebra problem by functional analysis theory.

[1] 华东师范大学数学系. 数学分析[M]. 第四版. 北京: 高等教育出版社: 2010.

[2] 王声望, 郑维行. 实变函数与泛函分析基础[M]. 第四版. 北京: 高等教育出版社, 2010.

[3] 米永生, 米冬梅. 高等代数方法在数学分析中应用[J]. 长春大学学报, 2005, 15(2): 66-69.

[4] 王宗尧, 薛以峰, 钱张军. 应用泛函分析[M]. 上海: 华东理工大学出版社, 2002: 95-96.

[5] 王萼芳, 石生明. 高等代数[M]. 第四版. 北京: 高等教育出版社, 2013.

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