Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 2, 20 February 2023
Open
Access | Article
A Fundamental Tour of Complex-valued World
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Abstract
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.
Keywords
Complex variables, Historical development and application
References
1. L. V. Ahlfors. Conformal Invariants. McGraw-Hill, New York, 1973.
2. L. V. Ahlfors. Complex Analysis. McGraw-Hill, New York, third edition, 1979.
3. G. B. Airy. On the intensity of light in the neighbourhood of a caustic. Transactions of the Cambridge Philosophical Society, 6:379– 402, 1838.
4. J. Bak and D. J. Newman. Complex Analysis. Springer-Verlag, New York, second edition, 1997.
5. B. Blank, An Imaginary Tale Book Review, in Notices of the AMS Volume 46, Number 10, November 1999, pp. 1233-1236.
6. H. Dym and H. P. McKean: Fourier Series and Integrals, Academic Press, 1972.
7. T. W. Körner: Fourier Analysis, Cambridge University Press, 1988.
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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- 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
- 10.54254/2753-8818/2/20220085
- Copyright
- © 2023 The Author(s)
- 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