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1. Pírko Z., Veit J.: Laplaceova transformace, SNTL Praha, 1970 2. Riley K.F., Hobson M.P., Bence S.J.: Mathematical Methods for Physics and Engineering, Cambridge University Press, 1998 3. Navrátil J.: Úvod do teorie funkcí komplexní proměnné, SNTL Praha, 1960 Last update: TAJ445 (05.12.2005)
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1. Complex numbers, Gauss plane, Riemannn sphere 2. Regular functions, Cauchy-Rieman conditions, multivalued functions 3. Integral along curve, Cauchy's theorem, Cauchy's formula, maximum module principle 4. Power series, series differentiation, regular function expression 5. Laurent series, meromorphic function expression 6. Singularity, classification of singular points, residue 7. Residue theorem, calculation of infinite integrals and sums, Jordan lemma 8. Definition of Laplace and Z transforms, standard type of original 9. Elementary transforms, linearity, shifts in original and tansform 10. Properties of transform, limit theorems 11. Transforms of differentiation, integral, difference and sum, Dirac impulse 12. Solving of differential and difference equations by using functional transforms 13. Inverse transform, elementary methods, application of residue theorem 14. Transform of convolution, convolution of transforms, transfer function Last update: Kukal Jaromír (08.12.2005)
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