函数级数展开的数学方法论  

On the Significance and Utilization of Mathematical Methodology in Series Expansion of a Function

作　　者：陈湛本[1] 

机构地区：[1]广州大学理学院,广东广州510405

出　　处：《广州大学学报（自然科学版）》2002年第3期8-12,78,共6页Journal of Guangzhou University:Natural Science Edition

摘　　要：为推进数学方法论和现代数学教育的研究与实践 ,提出了进一步开展初等数学和高等数学各主要分支学科数学思想方法研究的问题 ,并对数学分析中函数级数展开这一重要内容的数学方法论的意义与作用进行了系统深入的阐析 .For the promotion of research and practice in mathematical methodology and modern mathematical education, this paper proposes further research topics in mathematical ways of thinking in the sub_fields of elementary and higher mathematics. It also presents a systematic and deepgoing discussion on the significance and utilization of mathematical methodology in series expansion of a function, an important part in the field of mathematical analysis.

关 键 词：函数级数展开 素质教育 创造性教育 数学方法论 数学分支学科方法论 数学教育 

分 类 号：O1－4[理学—数学]