Mathematics is really a very big subject and is divided in to so many branches like geometry, algebra, coordinate geometry, calculus and so on. Mathematics enters in every fields of science and it’s needed for the development of science and technology. It’s the foundation for proving any new scientific theory or making any new discovery.
In this article I will speak about algebra. I will consider its definition and history. It’s interesting to many people to know how algebra started and evolved. The key reason why I chose algebra is because it’s an important element in every fields of mathematics. All these fields require the employment and manipulations of equations. As a matter of fact algebra historically started as several subjects scattered in numerous fields till it became a department and by the end of the sixteenth century it reached its final stages of evolution.
Algebra can be essentially considered as doing arithmetic operations with non numeric mathematical entities or objects. This is a very powerful structure as it permits us to proof properties that are true no real matter what are the numbers involved. The non numeric entities can be unknown and we are required to locate them or they can be unspecified. That is to say we have an equation and we are able to plug in numerous values to obtain different results. This is the reason algebra can be used expressing the relationship between entities. Once we cope with algebra we mainly cope with expressions and equations. Equations describe the equity relationship between entities and an expression describes an expression which has variables, numbers and arithmetic operators. As algebra developed the non numeric entities were extended to allow for more complex structure like vectors, matrices, and polynomials. It’s now accommodating more complex and abstract new structures. This is exactly what makes algebra useful in modeling mathematical and scientific problems that may not be modeled in some other way.
Algebra took a very long evolution period before it became like the way in which we all know it today. Its roots extend to the ancient Egyptian era and even before that. Algebra started during the time of the ancient Babylonians. They created advanced algorithms to resolve certain problems. These algorithms are utilized today to resolve quadratic equations and linear equations algebra calculator with fractions. The Egyptians of the same era used to model algebraic problems when it comes to geometry and solve them geometrically. So that they considered algebra as an application of geometry. The ancient Greek mathematicians and ancient Chinese mathematicians followed the same example while the Egyptians. The Egyptians developed geometric methods to resolve particular algebraic problems. The Greeks even developed the Egyptian algorithms further to resolve more general problems.
All of this influenced Muhammad Ibn Musa al-Khwarizmi the Arab Islamic scientist who created afterwards much of the algebraic method that individuals know today. The phrase algebra is in fact an Arabic word and was created after he established algebra as an independent mathematical discipline besides geometry and arithmetic. He established algebra in his book the Compendious Book on Calculation by Completion and Balance.
The classical algebraic discipline did not start before the end of the sixteenth century. In the season 1637 the current algebraic notion was introduced. Then the perfect solution is of quadratic and cubic equations was introduced. Then matrices and determinants were used to resolve systems of simultaneous equations. A great many other new algebraic concepts were introduced later.