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An Introduction to Algebra and its Historical past

by MollyWebster

Algebra is the category of math that relates to the study of the rules of operations and relations, and the constructions and ideas produced from them. This includes terms, polynomials, equations and algebraic structures. Algebra dates all the way back to the 1800 BC in ancient Babylon. The Babylonians invented algebra to establish unknown amounts. To do this the Babylonians developed formulas and equations to solve for the unknown variables. Archaeologists have discovered old Babylonian etchings and writings documenting linear, quadratic as well as indeterminate equations. Other ancient civilizations, including India, China, and Egypt also utilised algebra to solve for unknown quantities.

When algebra was very first developed, it was in the form of rhetorical algebra, after that it progressed to syncopated algebra, and later symbolic algebra. The Babylonians developed rhetorical algebra. With rhetorical algebra, equations are written out in rhetorical form. They were not focused on exact solutions, centering much more on approximations utilizing linear interpolation to approximate intermediate values. The rhetorical form remained in use until the 16th century.

Within the 16th century, syncopated algebra became the leading edge for mathematics. Syncopated algebra shifted far more closely to symbolic algebra, however didn't contain all of the qualities of symbolic algebra. Syncopated algebra first made an appearance in Diolphantus's Arithmetica.

Diolphantus was a Hellenistic mathematician, referred to as 'the father of algebra'. Diolphantus lived in Greece between around 250 AD. This individual is best recognized for the thirteen books about algebra, probably the most influential Arithmetica. As opposed to the Babylonians, Diolphantus was mainly concerned with exact solutions, both determinate and indeterminate. In Aritemetica, Diolphantus introduced the idea of employing symbols for unknown numbers. He also applied the use of abbreviations for powers of numbers, relationships, and operations.

Contemporary algebra is known as symbolic algebra. Symbolic algebra makes use of full symbolism. Islamic mathematicians began progressing towards symbolic algebra, but it was fully perfected by means of the function of Ren Descartes.

Descartes was a French mathematician and philosopher. He is credited with not merely becoming the first to develop symbolic algebra, but also the Cartesian coordinate system. The Cartesian coordinate method is actually a graph that identifies each point in a plane by a pair of numerical coordinates. The coordinates are the single distances from the designated point to two fixed perpendicular direct lines. The Cartesian coordinate system is essentially contemporary day graphing. Descartes developments in mathematics allowed algebraic equations to be depicted as geometric shapes. Today symbolic and abstract algebra is most commonly utilised to resolve complex equations and answer unknown variables.

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An Introduction to Algebra and its Historical past