Two sciences that have been combined, to give way to a world where solving problems in the scientific and technological field, becomes easier. Mathematics and computer science have a lot to do with different aspects of life, even in everyday life. Combining the two, **computational mathematics** was born.

## Definition of computational mathematics

When hearing this science referred to under the name of computational mathematics, many may think that it is something extremely complex and although it has its difficulty, you will find that it is easy to understand if you pay attention.

Computational mathematics can be defined as a conglomerate of processor programs, which is capable of creating algorithms, methods and good hypotheses. These will serve for the solution of different problems that originate in science and technology. When we talk about science, everything is included, that is, finance, social sciences, health, physics, chemistry, among others.

The purpose of this specific area is to provide easy and direct solutions to difficulties. It is then that basic mathematics is discussed, because it includes numerical analysis. However, it can be mentioned that they seek to examine new algorithms, facilitating improved programs that develop them.

## Fields of computational mathematics

Being a branch of applied mathematics, it can be made up of different fields, to each of which it makes an important contribution that can add much value in terms of research and advances. These are:

• **Scientific engineering:** in this case, computational mathematics is applied to solve difficulties through a program, through a computer instead of using applied mathematics techniques.

•** Numerical techniques:** these are used in scientific computing, in addition, applied in areas such as algebra and equations.

• **Monte Carlo procedure:** in this method, computational mathematics is applied together with other characters of scientific engineering.

• **Mathematical proofs:** this means that you use numerical study and numerary methods.

• **Algebra systems:** in addition to this type of system, it also applies to the processing of symbolic data and computing.

• **Computational linguistics:** this field refers to the use of mathematical and computer methods in what is known as natural expressions.

## Importance of computational mathematics

Computational mathematics becomes truly exceptionally important thanks to innovative technologies. Daily life is increasingly computerized and more mechanized tasks are performed. At this point is where this method becomes relevant, as it becomes a basis in the scientific progress that is being incorporated into daily tasks. Some of these are:

### Change in scientific method

It is known that the main thing about scientific technique is research and information. With computational mathematics, computational simulation must be applied. It means that, since it is a scientific research technique that requires computers, it will be able to analyze physical, biological or social programs, always based on the rules of research and information.

It means that this method of computational simulation, despite being relatively new, can pay off in scientific and specialized benefits.

### Benefits in the industry and the economy

Computational mathematics is now used in industry sketches. As, for example, in the virtual construction of airplanes, satellites, automobiles and ships. This means that these types of industries save a great deal of money before moving to the physical construction of these specimens. In addition, it applies in the construction of large buildings and in the research of new drugs.

From these points it can then be said that computational mathematics, being specialized in the creation of new algorithms, represents an incredible development. Its only limitations become the minds of individuals and at the level of physical development that computers can present, limitations that sooner or later can be solved.

Through this article, we hope that we have been able to answer all your questions about computational mathematics and emphasize enough about its importance today.