The Radical Mistakes in the Theories on Calculus of Cauchy-Lebesgue System

2011/12/10 by Xiaoping Ding, Ding, Xiaoping
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.1112.3863

4 pages, accepted by the Fourth International Conference on Mathematical Sciences, ICM 2012

arxiv created 2011/12/10 · openalex publication_date 2011/12/10 · arxiv updated 2011/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The misunderstanding of the concept of differentials in the theories on calculus of Cauchy-Lebesgue system was exposed in this paper. The defects of the definition of differentials and the associated mistakes in the differentiation of composite functions were pointed out and discussed.

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