CAJ | 학술논문

为揭示微积分中所蕴含的哲学思想，使用案例法、分析法和应用法，对微积分中几个最重要的概念进行分析研究，发现都蕴含着“近似与精确”这一对矛盾的对立统一与转化，同时，也蕴含着其他一些哲学思想，比如，量变与质变、否定之否定以及直与曲等。充分利用“近似与精确”这对矛盾的转化，在解决实际问题时，把无规则的总量微元后就可以看成是规则的，从而解决这个问题。现实中很多数据，只要求出达到某个精确度的近似值即可。
위게시미적분중소온함적철학사상，사용안례법、분석법화응용법，대미적분중궤개최중요적개념진행분석연구，발현도온함착“근사여정학”저일대모순적대립통일여전화，동시，야온함착기타일사철학사상，비여，량변여질변、부정지부정이급직여곡등。충분이용“근사여정학”저대모순적전화，재해결실제문제시，파무규칙적총량미원후취가이간성시규칙적，종이해결저개문제。현실중흔다수거，지요구출체도모개정학도적근사치즉가。
To reveal the philosophy contained in calculus,the case-law, analysis method,and application method are used. Analysis of several of the most important concepts in calculus research reveal that all contain "approximate and exact" unity of opposites of the contradiction and transformation at the same time. Also, a number of other philosophical thoughts are contained in calculus, such as quantitative and qualitative changes, the negation as well as straight and curve, and so on. When facing practical issue, the full use of "approximate and exact" conversion of this contradiction and transformation of rules and no rules help to solve the problem. Besides, for real-world data, just a certain precision of approximate value is enough.