Complex Numbers in Python and intro to class

To define a complex number in python use j, equivalent to i in maths, which is nothing but our old friend iota square root of negative one.

\(j = \sqrt{-1}\) \(z = a+bj\)

z = 5+2j
print(z,type(z))
print(z.real,z.imag)
print('conjugate: ',z.conjugate())

Output

(5+2j) <class 'complex'>`
5.0 2.0
conjugate:  (5-2j)

Complex numbers arithmetic

z = 5+2j
w = 5+5j
print('Addition: ',z+w)
print('Substraction: ',z-w)
print('Multiplication: ',z*w)
print('Division: ',z/w)

Output

Addition: (10+7j)

Substraction: -3j

Multiplication: (15+35j)

Division: (0.7-0.3j)