Friday, July 16

COMPLEX NUMBERS

Complex numbers are an algebraic way of coding points in the ordinary Euclidean plane so that translation (shift of position) corresponds to the addition of complex numbers and both rescaling (enlargement or shrinking) and rotation correspond to multiplication of complex numbers. ...
DEFINITION OF COMPLEX NUMBERS

Complex Numbers definition: "A complex number is a number comprising a real and imaginary part. It can be written in the form a + bi, where a and b are real numbers, and i is the standard imaginary unit with the property i 2 = −1. ...


Complex numbers are used in a number of fields, including: engineering, electromagnetism, quantum physics, applies mathematics and chaos theory. When the underlying field of numbers for a mathematical construct is the field of complex numbers, the name usually reflects that fact. Complex numbers are plotted on the complex plane, on which the real part is on the horizontal axis, and the imaginary part on the vertical axis.

Two complex numbers are said to be equal if and only if their real parts are equal and their imaginary parts are equal..


Multiplying complex numbers is accomplished in a manner similar to multiplying two binomials. You can use the FOIL process of multiplication, the distributive property, or your personal favorite means of multiplying.


For properties of Complex number click here.

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