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In the first chapter, the definition of the integral was linked to certain areas; we will now investigate if, through a similar geometric approach, we could arrive at the general definition of Riemann. We will see that it is possible, so that Riemann’s integral appears to be the natural generalisation of Cauchy’s integral, whether we place ourselves in the geometric or analytical point of view.

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Geometric Definition of the Integral

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  • 发表日期：

    2025年

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  • Rahul Jain

摘要

In the first chapter, the definition of the integral was linked to certain areas; we will now investigate if, through a similar geometric approach, we could arrive at the general definition of Riemann. We will see that it is possible, so that Riemann’s integral appears to be the natural generalisation of Cauchy’s integral, whether we place ourselves in the geometric or analytical point of view.