We explain to you what is mathematical and in what fields this science can be applied. In addition, what are its branches of study.
What is Mathematics?
The etymology of the mathematical word refers to the Greek mathema, which can be translated as "study of a subject . " It is defined as the formal and exact science that, based on the principles of logic, studies the properties and relationships established between abstract entities. This concept of `` abstract entities '' includes numbers, symbols and geometric figures, among others.
The field of study of mathematics was changing over time: until the nineteenth century it was limited to the study of quantities and spaces, but with scientific advances, fields of mathematics appeared Ethics that exceeded those two, which demanded their redefinition.
Mathematics has a lot of relationship with other sciences. First, it relies mainly on logic and its strategies for demonstration and inference. This is why mathematics is an objective science: it can only be modified by demonstrating the existence of mathematical errors, for which surely a large part of the scientific paradigm with which It works.
The method then lies in analyzing those abstract entities to produce hypotheses and conjectures, make deductions, and thus approach mathematical knowledge, which, as has been said, is assumed to be accurate and true. These deductions are made with the support of definitions (limitations of something with respect to everything else) and axioms (premises accepted without the need for a demonstration).
See also: Exact Sciences.
In which fields do mathematics apply?
The application of mathematics appears in almost all areas of life. Let's see a small review:
- In daily life. where mathematical calculations, or measurements and comparisons are made with great assiduity. So omnipresent is the mathematics in our lives that many experts consider the absence of mathematical notions as a variant of illiteracy.
- In the exact and natural sciences. In many cases (such as engineering or physics), its very existence is due to the approach provided by mathematics. In biology or chemistry, mathematics is also very important.
- In the social sciences. such as economics or psychology, which rely on mathematical concepts.
- Even in other disciplines and in the arts (music, sculpture, drawing). they have been used and mathematical resources are used.
What are the branches of mathematics?
Mathematics is subdivided into different branches, which appeared over time and are dedicated to specific parts of this science. These are some of them:
- Arithmetic. Understand the study of numbers. In addition to natural numbers, it includes all rational, real and complex numbers. The operations performed with these numbers are included in this branch.
- Geometry. It includes the study of figures and their links with space. It includes trigonometry and descriptive geometry, among others.
- Probability and statistics . It includes the analysis of trends based on a sampling; It is of great interest to the social sciences.
- Algebra. It is the branch that analyzes structures, performing arithmetic operations through letters or symbols.
The person who studies mathematics is called a mathematician . They can be mentioned as outstanding mathematicians throughout history Pythagoras, Archimedes, René Descartes or Isaac Newton, who contributed important concepts to the subject.
Finally, it is said that an event is mathematical or that it occurs mathematically when it is presented very accurately or regularly, standing out precisely for that attribute.