Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 2, 20 February 2023


Open Access | Article

A Fascinating Expedition of Complex Analysis

Minghan Fan * 1 , Zitong Zhang * 2
1 ASE Beijing AIDI School 100018 Beijing China
2 Beijing National Day School, Beijing, 100000, China

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, Vol. 2, 238-244
Published 20 February 2023. © 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 Minghan Fan, Zitong Zhang. A Fascinating Expedition of Complex Analysis. TNS (2023) Vol. 2: 238-244. DOI: 10.54254/2753-8818/2/20220089.

Abstract

The invention of complex numbers was essential in the rapid development of mathematics. Although most people consider complex numbers to be nonsensical notations, they are critical in technical disciplines. Human beings entered a wonderful realm when mathematicians began to investigate complex numbers. Our universe is amazing, full of beautiful discoveries, and even miraculous, according to complex analysis. We begin by giving a brief review of complex analysis' history, including when and how it originated. The root of a quadratic equation was used to find complex numbers. We look at some of the ways complex numbers are used in engineering domains like acoustic wave propagation. A thorough examination of certain key theorems of complex analysis is also included.

Keywords

Complex analysis, Complex numbers

References

1. Brown, James, Ward and V. Churchill, Ruel. Complex Variables and Applications Ninth Edition. 2 Penn Plaza, New York, NY 10121: McGraw-Hill Education, ©2014.

2. Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH United Kingdom

3. Thiele, Ruediger. “The Mathematics and Science of Leonhard Euler (1707-1783).

4. Edited by Li XINCAN. Founder and pioneer of calculus: Higher Education Press, October 2007

5. Les méthods nouvelles de la mécanique céleste, Paris : Gauthier-Villars, 1892 vol. I , 1893 vol. II, 1899 vol. III (New methods of celestial mechanics, American Institute of Physics, 1993)

6. Lexikon bedeutender Mathematiker, hrsg. Gottwald/Ilgauds/Schlote, Bibliographisches Institut Leipzig, 1990 [Encyclopedia of Notable Mathematicians]

7. B Grünbaum and G C Shephard, Tilings with congruent tiles, Bull. Amer. Math. Soc. 3 (3) (1980), 951-973.

8. A Borel, G M Henkin and P D Lax, Jean Leray (1906-1998), Notices Amer. Math. Soc. 47 (3) (2000), 350-359.

9. GLAUERT, H. The rotation of the Earth, Mon. Not. R. Astro. Soc., 1915, 75, pp 489- 495.

10. A Dahan-Dalmedico, La propagation des ondes en eau profonde et ses développements mathématiques (Poisson, Cauchy, 1815-1825), in The history of modern mathematics II (Boston, MA, 1989), 129-168

11. H Behnke and K Kopfermann (eds.), Festschrift zur Gedächtnisfeier für Karl Weierstrass (Cologne-Opladen, 1966).

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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Volume Title
Proceedings of the International Conference on Computing Innovation and Applied Physics (CONF-CIAP 2022)
ISBN (Print)
978-1-915371-13-3
ISBN (Online)
978-1-915371-14-0
Published Date
20 February 2023
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/2/20220089
Copyright
20 February 2023
Open Access
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

Copyright © 2023 EWA Publishing. Unless Otherwise Stated