Mathematics is really a very big subject and is divided into 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 information I’ll discuss algebra. I’ll consider its definition and history. It’s interesting to many people to learn how algebra started and evolved. Exactly why I chose algebra is really 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 various fields till it became a division and by the conclusion of the sixteenth century it reached its final stages of evolution.
Algebra could be essentially considered as doing arithmetic operations with non numeric mathematical entities or objects. This can be a very powerful structure as it allows us to proof properties which can be true no real matter what are the numbers involved. The non numeric entities could be unknown and we are needed to locate them or they can be unspecified. That’s to state we’ve an equation and we are able to plug in various values to obtain different results. For this reason algebra is used to express the connection between entities. Once we deal with algebra we mainly deal with expressions and equations. Equations describe the equity relationship between entities and an expression describes a phrase that contains variables, numbers and arithmetic operators. As algebra developed the non numeric entities were extended to accommodate more complicated structure like vectors, matrices, and polynomials. It’s now accommodating more complicated and abstract new structures. This is what makes algebra useful in modeling mathematical and scientific problems that could not be modeled in any other way.
Algebra took a lengthy evolution period before it became like the way in which we know it today. Its roots extend to the ancient Egyptian era and even before that algebra calculator. Algebra started during the time of the ancient Babylonians. They created advanced algorithms to solve certain problems. These algorithms are used today to solve quadratic equations and linear equations. The Egyptians of exactly the same era used to model algebraic problems in terms of geometry and solve them geometrically. So that they considered algebra as a credit card applicatoin of geometry. The ancient Greek mathematicians and ancient Chinese mathematicians followed exactly the same example since the Egyptians. The Egyptians developed geometric methods to solve particular algebraic problems. The Greeks even developed the Egyptian algorithms further to solve more general problems.
All this influenced Muhammad Ibn Musa al-Khwarizmi the Arab Islamic scientist who created afterwards much of the algebraic method that people know today. The word algebra is actually an Arabic word and was created after he established algebra as an unbiased mathematical discipline other than 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 conclusion of the sixteenth century. In the entire year 1637 the present day algebraic notion was introduced. Then the clear answer of quadratic and cubic equations was introduced. Then matrices and determinants were used to solve systems of simultaneous equations. A great many other new algebraic concepts were introduced later.Read More Other