Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 4
Ali Hussein Mahmood Al-Obaidi
College of Education for Pure Sciences
Physics Department
Three Stage
ali.alobaidi81@yahoo.com
1.5 Absolute value:The absolute value or modulus of Complex number
defined as
EX :- Find
i.
ii.
H.W
SOL:i.
 Absolute Value Properties:1.
2.
3.
4.
5.
6.
To prove (6) , we will use property (1)
1
is
Ministry of Higher Education
and Scientifics research
University of Babylon
Complex Functions
Lecture 4
Ali Hussein Mahmood Al-Obaidi
ali.alobaidi81@yahoo.com
7. Triangle Inequality:-
Proof:-
Let
College of Education for Pure Sciences
Physics Department
Three Stage
, then
Thus
by root for two side, We get
8.
Proof:-
by take absolute value for two sides.
2