Mathematics is really a very big subject and is split into so many branches like geometry, algebra, coordinate geometry, calculus and so on. Mathematics enters in all fields of science and it is needed for the development of science and technology. It is the basis for proving any new scientific theory or making any new discovery.
In this information I’ll speak about algebra. I’ll consider its definition and history. It is interesting to many people to understand how algebra started and evolved. Exactly why I chose algebra is basically because it is an essential element in all 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 different fields till it became a part and by the finish of the sixteenth century it reached its final stages of evolution.
Algebra may be essentially considered as doing arithmetic operations with non numeric mathematical entities or objects. This can be a very powerful structure because it permits us to proof properties which can be true no matter what would be the numbers involved. The non numeric entities may be unknown and we are needed to find them or they can be unspecified. That’s to say we’ve an equation and we could plug in different values to obtain different results. This is the reason algebra is employed to express the connection between entities. When we handle algebra we mainly handle expressions and equations algebra calculator with fractions. Equations describe the equity relationship between entities and an expression describes an expression that contains variables, numbers and arithmetic operators. As algebra developed the non numeric entities were extended to support more complicated structure like vectors, matrices, and polynomials. It is now accommodating more complicated and abstract new structures. This is exactly what makes algebra useful in modeling mathematical and scientific problems that may not be modeled in every other way.
Algebra took a very long evolution period before it became like the way 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 fix certain problems. These algorithms are employed today to fix quadratic equations and linear equations. The Egyptians of the exact same era used to model algebraic problems with regards 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 exact same example because the Egyptians. The Egyptians developed geometric methods to fix particular algebraic problems. The Greeks even developed the Egyptian algorithms further to fix more general problems.
All 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 obviously an Arabic word and was created after he established algebra as an independent mathematical discipline apart from geometry and arithmetic. He established algebra in his book the Compendious Book on Calculation by Completion and Balance.
The classical algebraic discipline didn’t start before the finish of the sixteenth century. In the year 1637 the current algebraic notion was introduced. Then the solution of quadratic and cubic equations was introduced. Then matrices and determinants were used to fix systems of simultaneous equations. A great many other new algebraic concepts were introduced later.