Complex Number

posted on: 18 Jun, 2012 | updated on: 10 Sep, 2012

The complex numbers definition can be given as any number which can be represented in the form: x + iy, where ‘x’ is known as the real part of the Complex Number and iy is known as the imaginary part of the complex number. But you must know in complex number definition that x and y are both Real Numbers and i is the imaginary unit which satisfies the property i² = -1

Let us have an example in complex numbers 2.5 + 2i is a complex number, we can also represent a real number a by simply writing a + 0i and for an Imaginary Number bi we can write 0 + bi.
In complex number definition, we denote the Set of all the complex numbers by Z, the real part is denoted by Re(Z) or just R(z) and the imaginary part bi is denoted by Im(Z).

In complex numbers definition, the complex numbers are being represented in their own plane called Complex Plane and the total idea of the two dimension complex plane has been extended from the one dimension number line where real part is represented on the horizontal axis and imaginary part on the vertical axis.
In complex number definition, the number x + iy can also be identified by using a Point (x, y).
One very important point in complex numbers definition is that when the real part is zero then that number is purely imaginary whereas when the imaginary part is zero then that number is purely real number.
In complex number definition, when we have a negative imaginary part like 2 + (-5i), then we generally write it as 2 – 5i with b > 0 instead of writing as latter.
There are many applications of complex numbers such as scientific fields, applied mathematics, quantum physics and engineering electromagnetism.

Topics Covered in Complex Number

Complex Plane

posted on: 19 Jun, 2012 | updated on: 01 Aug, 2012

All complex numbers, which are represented in the form of a + bi are shown on the complex plane. It is also called as z- plane. It is used to represent the complex numbers established by the help of the real and the orthogonal – imaginary axis. Here if we represent the complex number along the real axis, we can represent the imaginary part along the y- axis. The plane so ...Read More

Complex Conjugate

posted on: 19 Jun, 2012 | updated on: 19 Aug, 2012

We say that a Complex Number is formed by the Combination of the real and the imaginary part. Before learning about complex numbers, let us first look at the imaginary numbers. If we have any number, whose Square is a negative number, then we say that the number is Imaginary Number, which is represented by I, called iota. So we write root ( -9) = 3i, where root (-1) = ...Read More

Imaginary Number

posted on: 18 Jun, 2012 | updated on: 10 Sep, 2012

In mathematics, there are many Numbers one of them is imaginary number. Imaginary number definition says that it is a type of number which is always less than or equal to zero whenever it is squared. Let iy, is an imaginar...Read More