You can free download complex analysis from course out line in pdf format. About Complex Analysis Complex Analysis have many chapte...
About Complex Analysis
Complex Analysis have many chapters in this notes.Here we will discuss few chapter such as Integration
Analytic function
Definition Complex Number:
The system of comlex numbers consists of set z=a+ib
obviously a and b are real number and i is called imaginary unit..both are part of comple number.
while b is imaginary part of also complex number z.they are denoted by a=Re(z) and b=im(z).
Example
z= 2+i3 is example of complex number .having 2 is real part and 3 is imaginary part.
you considered this example.
Remark
()if a=0 we can say that b is imaginary part .conversly b=0 then we can a is real part in complex number.
() Complex number can not be given order properties .Given any two complex number Z1 and Z2.we do not know which one is greater or smaller than the other however the two complex numbers Z1=x1 +y1 and Z2=X2+y2 are equal.iffx1=x2 and y1=y2
Definition Complex conjuate
the Complex number z=x+iy of complex conjuate is z=x-iy .so it is called complex conjuate
Definition complex magitude
the magitude of |z| of z=x+iy is real and negative number given by .
|Z|2=x2+y2=x2+y2
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