math or math is a deductive science, which is responsible for the study of the properties of abstract entities as well as the connections and relationships that exist between them.
This science starts from the axioms and follows the use of logical reasoning; Mathematics studies the relationships and properties of abstract entities such as geometric figures, symbols, and numbers.
The use of mathematics has evolved thanks to counting, calculation and measurements, as well as the systematic study of the shape and movements of physical objects, however the two fundamental pillars of this are abstraction and the use of logic in reasoning, since thanks to them great advances have occurred in the studies of man in all branches.
We know that mathematics interacts with quantities, that is, with numbers, but we cannot forget that it also uses non-quantitative abstract constructions, since it seeks to develop practice and these can be applied in models that allow calculations and measurements to be made in the physical plane, which Help prove a theory true.
For a better understanding of mathematics we can say that it is divided into four large areas or fields of study, within which we name the following:
- Arithmeticis one that is in charge of the study and analysis of numbers or quantities.
- Algebrawhich refers to and is in charge of studying and analyzing the structures.
- Geometryhas as purpose the study and knowledge of the segments and figures.
- Statisticswhich is in charge of analyzing and studying the data collected that will be used in the future.
To know the origin of this word, we must go back to Latin, to really know that the roots of the word mathematics come from mathematicaliswhich at the same time stems from the Greek mathema which is understood or can be translated as “the study of a subject”.
importance of mathematics
Mathematics is closely related to all the activities that we carry out in our day to day, such as going to the supermarket and taking out the accounts to buy and pay for the products, as well as when we drive we must use logic to drive correctly and avoid accidents and not commit recklessness
Also, we use mathematics when we do exercises and many other activities that are of great importance such as medicine, physics, engineering among others, which makes this discipline, if not the most important, one of the most important for humanity since it has allowed its development and evolution in all the areas already named, for which its study and practice is recommended for the development of the subject as a person and society as such.
reason of mathematics
The reason is a broad concept that can be used in various areas and in different contexts of our day to day, however for mathematics, it is a link that exists or results between two magnitudes that are comparable to each other.
When a quantity is subtracted or divided by another, that result is what is called a ratio.
An example of this can be the expression of a division such as 9/3 = 3, we say that the ratio of 9 divided by 3 is equal to 3, which implies that when we divide 9 by 3 the ratio will be 3. And continuing with the application From mathematical logic it is correct to say that 3 times 3 is nine, or that the number 9 contains 3 times the number 3.
Today, humanity has developed and uses mathematics throughout the world, and it is an essential tool in many or almost all areas and fields of daily life, which have been developed thanks to the use, development and application Mathematics, within these areas we have engineering, medicine, natural sciences as well as social sciences.
Financial mathematics
Financial mathematics should be seen as a branch within the science of mathematics that deals with analyzing all financial operations that help decision-making when undertaking investment or financing projects.
In view of its complexity, financial mathematics in carrying out its functions divide operations into two blocks; simple, which deals with a single capital, and complex, known as income, which deals with payment streams such as loan installments.
In this sense, financial mathematics is linked to other sciences such as accounting since its operations are carried out by the information established in the accounting books, and in terms of political science by virtue of the fact that it must go together with the financial policies taken by the State that affect the individuals that make up a society.
Applied and pure mathematics
Applied mathematics, as indicated by the term, uses its tools or methods in solving problems belonging to other sciences or areas. In reference to this assumption, some methods are applied in computing, biology, chemistry, physics, economics, engineering, among others.
For its part, pure mathematics refers to the informal study of science itself without taking into account the applications that could be derived or applied, as is the case with applied mathematics.
Mathematical logic
Mathematical logic, also known as symbolic logic, consists of a deductive system of statements that aims to create a group of laws and rules to determine the validity of reasoning. In this way, a reasoning is considered valid if it is possible to reach a true conclusion from true premises.
In relation to the above, a reasoning is valid through others, these can be deductive and inductive. The first, the conclusion is necessarily obtained from the true premises, while the second is through probabilities.
See also logic.
Mathematical Physics
It is the field of science that deals with the study, analysis and application of the interface between mathematics and physics. That is, it is the use or application of mathematics to solve problems in the field of physics, which allows the development of relevant mathematical methods for them and for the development of new physical knowledge, within which we can name the electricity, magnetism, aerodynamics as well as thermodynamics and others.
See also: Science and Physics.