Complex Analysis

Description

Complex numbers, the complex plane, topology of the plane, elementary complex functions - Holomorphic functions, Cauchy-Riemann equations - The complex integral, Cauchy's theorem and integral formula - The maximum principle, theorems of Morera and Liouville, the Schwarz lemma - Power series, the identity theorem. - Laurent series, singularities, residues.

Course Coordinators

Books: 
Εισαγωγικό μάθημα στις Μιγαδικές Συναρτήσεις του Ν. Δανίκα.
Μιγαδική Ανάλυση των T. Bat, D. Newman.
Semester: 
Units: 
4
Credit Units (ECTS): 
7.0
Hours: 
4ώρες
ID: 
0208
Course Type: 
X