Application of Residue Theorem to Real Integrals

Authors

  • Egahi M. Department of Mathematics and Computer Science, Benue State University, Makurdi
  • Pwasong, A.D. Department of Mathematics, University of Jos, Nigeria
  • Agbata, B.C. Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  • Chia A. R Department of Mathematics/Computer Science, Benue State University, Makurdi,

Keywords:

Real Integral, Complex Integral, Residues, Residue Theorem, Cauchy Theorem, Isolated Singularity.Remove : Real Integral, Complex Integral, Residues, Residue Theorem, Cauchy Theorem, Isolated Singularity

Abstract

We give an application of Complex Analysis to Real Analysis through the use of residue theory in calculation of real integrals. This practice of using a theory in higher dimension to resolve problems at a lower level is quite a common procedure in many other areas of mathematics.

Author Biography

Egahi M., Department of Mathematics and Computer Science, Benue State University, Makurdi

 

 

References

Ahlfors, L. V (1979) Complex Analysis. 3 edn, USA, McGraw Hill, Inc. 331p

Conway, J. B. (1978). Function of one Complex Variable. Springer Verlag, New York 322p

Needham, T. (1998). Visual Complex Analysis, Oxford University Press. USA. First Edition, 592p

Russell, L.H. (2016). An introduction to Fourier and Complex Analysis with Application to Spectral Analysis of Signals, CRC Press; First Edition, 402p

Watson, F. (1993). Complex Variables, an Introduction, CRC Press; 408p

W. Fischer, I. Lieb (2012). A course in Complex Analysis, From Basic Result to Advanced

Topics, First Edition, Springer Fachmedien Wiesbaden GmbH, 272p

Published

2024-05-30

How to Cite

Egahi, M., Pwasong, A., Agbata, B., & Chia, A. R. (2024). Application of Residue Theorem to Real Integrals. NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES, 6(1). Retrieved from https://napas.org.ng/index.php/napas/article/view/352

Issue

Vol. 6 No. 1 (2023): The Reality of Women in Science

Section

Original Article

License

Copyright (c) 2023 Egahi M., Pwasong, A.D., Agbata, B.C., Chia A. R

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.