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The homotopic proof of Cauchy's integral theorem

 

作者: EnriqueA. Gonzalez‐Velasco,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1980）
卷期: Volume 11, issue 2  

页码: 189-191

 

ISSN:0020-739X

 

年代: 1980

 

DOI:10.1080/0020739800110207

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The object of this paper is to present a simple proof of the homotopic version of Cauchy's integral theorem which requires only the definition of integral over a piecewise continuously differentiable path, and which is constructive in the sense that it follows the deformation of one path onto another ‘across’ the homotopy.

 

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