What is complex numbers? »Its Definition and Meaning [2019]

Complex numbers are those that result from the sum of a real number and an imaginary number ; understood as a real number, one that can be expressed in whole (s, 10, 300, etc.) or decimal (2.24; 3.10; etc.), while the imaginary is that number whose square is negative . complex numbers are widely used in algebra and analysis , in addition to being applied in other specialties of pure mathematics such as the calculation of integrals, differential equations, in the hydrodynamics, aerodynamics, among others.

In mathematics, these numbers represent a group that are considered points of the plane and are known as the complex plane .This group it includes real and imaginary numbers.A prominent feature of these numbers is the fundamental theorem of algebra , which states that any algebraic equation of degree "n" will specifically have "n" complex solutions.

The concept of complex numbers arises from the impossibility of the real numbers to include the roots of order pair, of the group of negative numbers.Therefore, complex numbers have the ability to show all the roots of the polynomials , which real numbers cannot do.

As already mentioned, complex numbers are often used in various branches of mathematics , physics and engineering and that is thanks to their characteristics they have the ability to represent electromagnetic waves and electric current.In electronics and telecommunications, the use of complex numbers is frequent.

According to historical records, the Greek mathematical Heron de Alejandria, was one of the first to raise the appearance of complex numbers , this due to the difficulties that arose at the time of building a pyramid.But it was not until the fifteenth century, when the complex numbers began to occupy a place s In the sciences, it is important to point out that by that time formulas were sought that would allow obtaining exact roots of the level 2 and 3 polynomials.Therefore, their interest was to find the roots real of the equations mentioned above, as well as fighting with the roots of negative figures.

Finally, if you want to analyze complex numbers geometrically, you need to use a complex plane; this being understood as a modified Cartesian plane where the real part is in the axis of the abscissa, while the imaginary ones are located in the axis of ordinates.