Needham, Tristan, Visual Complex Analysis, Oxford University Press, 2023, ISBN: 0192868926
Stewart Ian, Complex Analysis, Cambridge, 2018, ISBN: 9781108436793
Shah, Nita H. and K. Naik, Monika. Integral Transforms and Applications, Berlin, Boston: De Gruyter, 2022. https://doi.org/10.1515/9783110792850
Kozubek, T., Lampart, M.: Integral Transforms, 2022, https://homel.vsb.cz/~lam05/Teaching.html
Bouchala, J., Lampart, M.: An Introduction to Complex Analysis, 2022, https://homel.vsb.cz/~lam05/Teaching.html
Functions of Complex Variable and Integral Transformations
| Language of instruction | angličtina, čeština |
|---|---|
| Code | 470-4109 |
| Abbreviation | FKP IT |
| Course title | Functions of Complex Variable and Integral Transformations |
| Coordinating department | Department of Applied Mathematics |
| Course coordinator | prof. Ing. David Horák, Ph.D. |
Summary
Upon successful completion of the course, the student:
– applies differential and integral calculus of complex functions to the solution of engineering problems,
– uses power, Taylor, and Laurent series in the analysis of complex functions,
– applies the theory of residues and the residue theorem to the evaluation of complex integrals,
– uses the Laplace transform, Fourier series, Fourier transform, and Z-transform to solve mathematical and engineering problems,
– interprets transformation results in relation to the modelling and analysis of technical systems.
– applies differential and integral calculus of complex functions to the solution of engineering problems,
– uses power, Taylor, and Laurent series in the analysis of complex functions,
– applies the theory of residues and the residue theorem to the evaluation of complex integrals,
– uses the Laplace transform, Fourier series, Fourier transform, and Z-transform to solve mathematical and engineering problems,
– interprets transformation results in relation to the modelling and analysis of technical systems.