Historical synopsis of Cauchy residue theorem

Su Yang

doi:10.1117/12.2639233

17 May 2022 Historical synopsis of Cauchy residue theorem

Su Yang

Proceedings Volume 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022); 1225925 (2022) https://doi.org/10.1117/12.2639233
Event: 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing, 2022, Kunming, China

Abstract

This paper is aimed to discuss the importance of Cauchy residue theorem through different aspects. Firstly, we will overview Cauchy residue theorem and its proof. Then the application of Cauchy residue theorem to calculate a complicated integral of a real-valued function will be investigated. Finally, we will explore to compute the 1D Green’s function for the Helmholtz equation by Cauchy residue theorem.

Citation Download Citation

Su Yang "Historical synopsis of Cauchy residue theorem", Proc. SPIE 12259, 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022), 1225925 (17 May 2022); https://doi.org/10.1117/12.2639233

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