Course content This course gives an introduction to the theory of functions of one complex variable. Central themes in the course are analytic and harmonic functions and their properties, power series ...

‘I live a very simple life but I need help.’ I’m 75 with $1.1M in an IRA, $275K in CDs and $2.4K per month in Social Security. But I want to leave a legacy ‘Betray Our Country’: FBI’s ...

Single Article Purchase On Cauchy's Integral Theorem and on the Law of the Mean for Non-Derivable Functions Proceedings of the National Academy of Sciences Vol. 26 No. 3 ...

5. Cauchy's Test 721 6. The Integral Test for Convergence of a Series .723 7. Alternating Series. Leibniz' Theorem 727 8. PIus-and-Minus Series. Absolute and Contitional Convergence .... 729 9.

Functions of a complex variable: continuity, differentiability, analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum ...

Prerequisite: MATH 5333 or consent of instructor. Description: Complex numbers, holomorphic functions, linear transformations, Cauchy integral theorem and residue theorem. MATH 5336 - Discrete ...

Early-time and late-time physical bounds on the causal response of a linear time-invariant and stable system are derived through analytic properties of its one-sided Laplace-transform counterpart. The ...