One part is that the RE part and the IM part are at right angles to each other.
Refer to the related link for a picture of an array of complex numbers. Notice the
curves are at right angles to each other.
The Italian mathematician, Gerolamo Cardano was the first to consider the concept of complex numbers. However, he did not develop a theory of complex numbers to any extent. That was left to Rafael Bombelli.
Mainly engineering, particularly control theory and other electronic systems; complex numbers are useful to represent oscillation frequency and phase information.
At the simple level: Arithmetic. More complex level: Number theory. But NOT numerology which is not a science but superstition.
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
The square of a "normal" number is not negative. Consequently, within real numbers, the square root of a negative number cannot exist. However, they do exist within complex numbers (which include real numbers)and, if you do study the theory of complex numbers you wil find that all the familiar properties are true.
Real numbers are a proper subset of Complex numbers.
Complex numbers were not invented by Mr KBH.
Complex numbers include real numbers, pure imaginary numbers, and the combination of those two.
The complex numbers are a field.
All of them. Real numbers are a subset of complex numbers.