Theoretical and Natural Science

Theoretical and Natural Science

TNS Vol.1 No.1, 05 May 2022

Open Access | Article

Complex Analysis and its Several Applications

Junhan Zhang * 1 , Mingyu Zhang 2
1 Shenzhen College of International Education, No.3 Antuoshan 6th street, Xiangmihu District, Futian, Shenzhen
2 Beijing 21st century international school, courtyard 46, No. 46, Enji West Street, Haidian District, Beijing

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, TNS Vol.1 No.1, 38-43
Published 05 May 2022. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Junhan Zhang, Mingyu Zhang. Complex Analysis and its Several Applications. TNS (2022) TNS Vol.1 No.1: 38-43. DOI: 10.54254/tns.2022006.


Complex analysis is important for science because it extends analytical methods from real variables to complex variables and complex numbers. Also, complex number has two independent components, one variable will not change when the other is changing, that are particularly useful when two variables must be dealt with simultaneously. In this essay, we are going to talk about the history chronologically such as who first introduced the idea of complex number, who first discovered the rule of complex number, and why complex analysis is important. Also, the essay includes some basics about the complex variable and complex analysis. For example, the definition of complex number, Cauchy-Riemann Equations, and Cauchy Goursat theorem can help us to get further known of the complex analysis and solve some basic analytic problems.


Complex analysis, Complex number


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Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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