Fundamental properties of complex numbers

Ziheng Huang; Kaijie Zhang; Ziqiang Zhang

doi:10.1117/12.2628116

22 April 2022 Fundamental properties of complex numbers

Ziheng Huang, Kaijie Zhang, Ziqiang Zhang

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 1216332 (2022) https://doi.org/10.1117/12.2628116
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

Complex numbers are important in a variety of engineering areas. It is widely used in thermodynamics, mechanics, fluid mechanics, solid mechanics and some other areas like that. It has a history of over 1200 years; since 780, when it first came into the platform of math, it has been supplied by over 10 mathematicians. Now, the complex number is a complicated subject which refers to many different subjects in higher mathematics. The paper will mainly discuss several quintessential instances of complex numbers, including formation and relevant operations on the set ℂ, while further explaining the complex conjugation involved thereof. The paper covers the algebraic formation of complex numbers, as well as discuss in detail arithmetic operations of complex numbers, on complex numbers, in this research paper to reveal the intrinsic beauty of the world of complex numbers. We will also apply two examples and their solutions to make the point more specific.

Citation Download Citation

Ziheng Huang, Kaijie Zhang, and Ziqiang Zhang "Fundamental properties of complex numbers", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 1216332 (22 April 2022); https://doi.org/10.1117/12.2628116

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