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 every fields of science and it is required for the development of science and technology. It’s the cornerstone for proving any new scientific theory or making any new discovery.
In this article I’ll speak about algebra. I’ll consider its definition and history. It’s interesting to numerous people to know how algebra started and evolved. Exactly why I chose algebra is basically because it is an essential element in every fields of mathematics. Every one of these fields require the utilization and manipulations of equations. As a matter of fact algebra historically started as several subjects scattered in various fields till it became a department 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 is a very powerful structure as it we can proof properties which can be true no matter what would be the numbers involved. The non numeric entities may be unknown and we are necessary to see them or they could be unspecified. That is to express we’ve an equation and we could plug in various values to obtain different results. This is the reason algebra can be used to state the connection between entities. Once we handle algebra we mainly handle expressions and equations. Equations describe the equity relationship between entities and an expression describes a term which has 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 will not be modeled in any way.
Algebra took a lengthy evolution period before it became like the way we realize it today. Its roots extend to the ancient Egyptian era and even before that. Algebra started at the time of the ancient Babylonians. They created advanced algorithms to fix certain problems algebra calculator with exponents. These algorithms are used 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 they really considered algebra as an application of geometry. The ancient Greek mathematicians and ancient Chinese mathematicians followed the exact same example since 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 word algebra is actually an Arabic word and was created after he established algebra as an unbiased 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 didn’t start before the finish of the sixteenth century. In the year 1637 the modern algebraic notion was introduced. Then the answer of quadratic and cubic equations was introduced. Then matrices and determinants were used to fix systems of simultaneous equations. Many other new algebraic concepts were introduced later.