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新微积分原理的思考
引用本文:丁小平.新微积分原理的思考[J].科教文汇,2011(36):91-91,108.
作者姓名:丁小平
作者单位:北京二十一世纪药理科学研究院,北京,100092
摘    要:本文修正了实数和点的规定性,从而形成了作为数学前提的新的量—形模型;构造了以"变化"(Werden)为核心的微积分体系,并在此基础上重新定义了微分、导数、原函数和积分等概念,重新构造了微积分原理。

关 键 词:微分  导数  积分  量—形模型

Reflections on the New Principles of Calculus
Authors:Ding Xiaoping
Institution:Ding Xiaoping Beijing 21th Pharmacology Science Institute,100092,Beijing,China
Abstract:In this paper a novel calculus system was established based on the concept of "warden".A new quantity-figure model as the premise of mathematics was formed after the correction of definition of the real number and the point.Basic concepts such as the derivative,the differential,the primitive function and the integral have been redefined and the principles of calculus have been reestablished.
Keywords:differential  derivative  integral  number-point model
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