Definition of Complex Numbers

In themathto the complex numbers they are considered as a extension of real numbers, while in this last group the rational numbers, both positive and negative, and the zero, and on the other hand to irrational numbers.

Now, these numbers that we are dealing with form a set of figures that result from sums between a real number and an imaginary one.. Meanwhile, a real number will be one that can be expressed through a whole number, or failing that, a decimal number.

Meanwhile the imaginary number will be the one whose square turns out to be negative. It is worth standing out to purpose of this last type of number that the concept was developed towards the end of the 18th century by the Swiss physicist and mathematician Leonhard Paul Euler. At that time he attributed to v-1 the denomination de i (imaginary).

It is also important to note in this regard that the notion of complex numbers had already been addressed in ancient times by some Greek mathematicians as a result of the problems that arose when building pyramids, although of course, not with so much

clarity nor elements in their favor.

The body of each real number is made up of ordered pairs, the first component being the real part and the second part is then the imaginary part that we indicated. For their part, pure imaginary numbers are pure because they are made up only of an imaginary part.

Among the great contributions that are attached to this type of numbers is the possibility of reflecting all the roots of the polynomials, situation by case that the real numbers cannot perform since they do not include the even-ordered roots belonging to the set of negative numbers.

As a consequence of the above is that complex numbers are used especially at instances of areas such as engineering, telecommunications, electronics, physical and in different areas of mathematics to represent the electric current or electromagnetic waves, among others

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