从高等数学的几个例子解析数学的严格性  

Analysing the Strictness Nature of Mathematics by Several Examples of Advanced Mathematics

作　　者：黄永[1] 

机构地区：[1]昭通学院数学与统计学院,云南昭通657000

出　　处：《昭通学院学报》2014年第5期12-16,共5页Journal of Zhaotong University

基　　金：云南省教育厅科学研究基金资助项目(2014Y499)

摘　　要：对数学本质和特性的认识,是人类认识数学和应用数学的实质.利用高等数学的几个例子从数学概念、推理和应用三个方面对数学的严格性予以分析,以便能更好地组织恰当的数学活动,使学习者有效地学习数学.Understanding to the essence and properties of mathematics is the substance that mankind recognize mathematics and apply mathematics.By several examples of advanced mathematics we analyse the strictness nature of mathematics from mathematicl concepts,reasoning and application three aspects so that instructors organize proper mathematicl activities better and students study mathematics more effectively.

关 键 词：高等数学 数学的严格性 概念 推理 应用 

分 类 号：O13[理学—数学]