Complex numbers

Complex Numbers

Keywords:

z=a+ib  ;  a, b, i=-1
r=a2+b2
The modulus of a complex number
tg φ=ba (a0)
The argument of a complex number
Rez=a=r·cos φ
The real part of the complex number
Imz=b=r·sin φ
The imaginary part of the complex number

z=a+ib
Rectangular form of a complex number
z=r·cos φ+i·sin φ
Polar form of a complex number
z=r·eφi
Exponential form of a complex number
z=a+ib=r·cos φ+i·sin φ=r·eφi
z¯=a-ib=r·cos φ-i·sin φ=r·e-φi
Conjugate of a complex number