Theoretical and Natural Science

Theoretical and Natural Science

TNS Vol.1 No.1, 05 May 2022

Open Access | Article

A Fundamental Tour of Complex-valued World

Handong Miao * 1 , Chengyuan Sun * 2
1 Beijing Haidian International School, China, Beijing Province, 100195
2 Shen Zhen Institute of international exchange school, China, Shenzhen Province, 518000

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, TNS Vol.1 No.1, 20-29
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 Handong Miao, Chengyuan Sun. A Fundamental Tour of Complex-valued World. TNS (2022) TNS Vol.1 No.1: 20-29. DOI: 10.54254/tns.2022004.


Throughout the learning, the topic of complex variables has always been a very special area in mathematics. As progressed through the complex variable courses, our group started to raise our interest in this area and wish to learn further. Hence, this essay will focus on several perspectives on the topic of complex variables. This will include the historical development, application, general theorem and solving real problems.


Complex variables, Historical development and application


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8. J. S. Walker: Fourier Analysis, Oxford University Press, 1988.

9. E.T. Whittaker and G.N. Watson. A Course in Modern Analysis. Cambridge University Press, 1927.

10. E.M. Stein and R. Shakarchi, Complex Analysis, Princeton University Press, 2003.

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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