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arXiv 1701.04887math.HOmath.CV
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柯西残余物

Cauchy's residue sore thumb

Harold P. Boas

摘要:

两个世纪前柯西通过进入复平面来计算沿实轴积分的方法,按现在的标准来看并不严格。然而,当适当地制定,他的原始方法是简单的比现代介绍的剩余演算。

英文摘要:

Cauchy's method from two centuries ago for computing integrals along the real axis by passing into the complex plane is not rigorous by present-day standards. Yet when properly formulated, his original approach is simpler than modern presentations of the residue calculus.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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