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(Please enable graphics (picture) options to view the formulae since some of the formulae are in gif format)
Complex Numbers
is usually denoted by i
.
for
example
is 3i , and
is
If z = x + i y , then x is the real part of z and y is the imaginary part of z.
The complex conjugate of ( x + i y ) is ( x – i y ).
The
modulus of z = x + i y is | z | =
.
The
modulus amplitude form of z = x + i y is z = r ( cos
+ i sin
)
,
where
r =
and
=
.
r
is called the modulus and
the
argument (or amplitude ) of z .
Note:
i
=
=
-1
=
- i
=
1