Mathematics is a very big subject and is divided into so many branches like geometry, algebra, coordinate geometry, calculus and so on. Mathematics enters in most 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 short article I’ll discuss algebra. I’ll consider its definition and history. It’s interesting to numerous people to know how algebra started and evolved. The reason why I chose algebra is really because it’s a vital element in most fields of mathematics. Each one of these fields require the utilization and manipulations of equations. As a matter of fact algebra historically started as several subjects scattered in different fields till it became a division and by the conclusion 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 is a very powerful structure because it we can proof properties which are true no matter what would be the numbers involved. The non numeric entities may be unknown and we’re needed to locate them or they may be unspecified. That’s to state we’ve an equation and we can plug in different values to obtain different results. This is why algebra can be used expressing the connection between entities. When we deal with algebra we mainly deal with expressions and equations. Equations describe the equity relationship between entities and an expression describes a term which has variables, numbers and arithmetic operators online algebra calculator. As algebra developed the non numeric entities were extended to allow for more technical structure like vectors, matrices, and polynomials. It’s now accommodating more technical and abstract new structures. This is exactly what makes algebra useful in modeling mathematical and scientific problems that may not be modeled in any other way.
Algebra took a very long evolution period before it became like just how 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 used today to resolve quadratic equations and linear equations. The Egyptians of the exact same era used to model algebraic problems when it comes to geometry and solve them geometrically. So they considered algebra as a software of geometry. The ancient Greek mathematicians and ancient Chinese mathematicians followed the exact same example as 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 this influenced Muhammad Ibn Musa al-Khwarizmi the Arab Islamic scientist who created afterwards a lot of the algebraic method that people know today. The phrase algebra is actually an Arabic word and was created after he established algebra as an independent 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 didn’t start before the conclusion of the sixteenth century. In the year 1637 the current algebraic notion was introduced. Then the clear answer of quadratic and cubic equations was introduced. Then matrices and determinants were used to resolve systems of simultaneous equations. Many other new algebraic concepts were introduced later.