Complex Analysis Approach to Solving Problems with Trigonometric Functions

Wenxuan Zhang

2025

Abstract

Nowadays, many problems are involved with the integrals. Whether in the field of physics or mathematics, if people want to solve some intricate integration, there is no doubt that one should use the residue theorem. This paper mainly focuses on how to solve some complex integration by using the residue theorem. By enumerating some examples about the integrations in complex plane, the author shall show the effects on different field to prove the prominence of residue theorem. By this paper, it will embody and learn to the greatest extent possible. The meaning of this paper is that it shows the importance of residue theorem, and give person another tool to solve some involute integrations in complex plane. What is more, this paper can show the importance of residue, which not only can apply in mathematics, but also can use in considerable fields. In addition, it can help people analyse the earthquake, electricity and a huge variety of difficult integrations.

Paper Citation

in Harvard Style

Zhang W. (2025). Complex Analysis Approach to Solving Problems with Trigonometric Functions. In Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA; ISBN 978-989-758-774-0, SciTePress, pages 94-98. DOI: 10.5220/0013814600004708

in Bibtex Style

@conference{iampa25,
author={Wenxuan Zhang},
title={Complex Analysis Approach to Solving Problems with Trigonometric Functions},
booktitle={Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA},
year={2025},
pages={94-98},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0013814600004708},
isbn={978-989-758-774-0},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Innovations in Applied Mathematics, Physics, and Astronomy - Volume 1: IAMPA
TI - Complex Analysis Approach to Solving Problems with Trigonometric Functions
SN - 978-989-758-774-0
AU - Zhang W.
PY - 2025
SP - 94
EP - 98
DO - 10.5220/0013814600004708
PB - SciTePress