Northern Math Academy

Know your Complex Numbers:

A Complex number is the sum of a real number and an imaginary number.

It is of the form (a + ib) and is usually represented by z. Here both a and b are real numbers.

The value 'a' is called the real part which is denoted by Re(z), and 'b' is called the imaginary part Im(z).

Also, ib is called an imaginary number.

Complex numbers are helpful in finding the square root of negative numbers.

The concept of complex numbers was first referred to in the 1st century by a greek mathematician, Hero of Alexandria when he tried to find the square root of a negative number.
But he merely changed the negative into positive and simply took the numeric root value.

Further, the real identity of a complex number was defined in the 16th century by Italian mathematician Gerolamo Cardano, in the process of finding the negative roots of cubic and quadratic polynomial expressions.

Complex numbers have applications in many scientific research, signal processing, electromagnetism, fluid dynamics, quantum mechanics, and vibration analysis.

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