TNS Vol.1 No.1, 05 May 2022
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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
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.
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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