# Mathematics - Term Overview

The mathematics is the science deductive dedicated to the study of the properties of abstract entities and their relationships. This means that mathematics works with numbers, symbols, geometric figures, etc.

Starting from axioms and following logical reasoning, mathematics analyzes structures, magnitudes and links of abstract entities. This allows, once certain patterns have been detected, to formulate conjectures and establish definitions that are arrived at by deduction.

In addition to the above, we can't ignore that there are two important types of mathematics:

- Pure mathematics, which is responsible for studying quantity when it's considered in the abstract.

- Applied mathematics, which proceed to carry out the study of quantity but always in relation to a series of physical phenomena.

Mathematics works with quantities (numbers) but also with non-quantitative abstract constructions. Its purpose is practical, since abstractions and logical reasoning can be applied in models that allow the development of calculations, accounts and measurements with physical correlation.

It could be said that almost all human activities have some kind of connection with mathematics. These links may be obvious, as in engineering, or less conspicuous, as in medicine or music.

Mathematics can be divided into different areas or fields of study. In this sense, one can speak of arithmetic (the study of numbers), algebra (the study of structures), geometry (the study of segments and figures) and statistics (the analysis of collected data), among others.

Throughout history there have been important mathematicians who have stood out for the contributions and discoveries they have made. Specifically, among the most significant are the following:

- Pythagoras (569 BC - 475 BC). He was a Greek mathematician, considered the first "pure", who made important advances in subjects such as arithmetic or geometry. However, perhaps his most significant contribution is that of the famous theorem that bears his name.

- Isaac Newton (1643 - 1727). This English is classified as another of the most fundamental mathematicians in human history. This is due, among other things, to the fact that he carried out the development of the integral and differential calculus.

- Leonhard Euler (1707 - 1783). This German is considered the most important mathematician of the 18th century as well as one of the most prolific to date. He made significant contributions in terms of geometry, mathematical notation, logic, or applied mathematics.

It should be noted that, in everyday life, we tend to resort to mathematics almost unconsciously. When we go to a greengrocer and buy a kilo of tomatoes, the seller tells us the price and we immediately carry out a basic calculation to know with which ticket to pay and how much change we have to receive.