5Algebra and Graphs
Objectives: This chapter
- Explains how to identify patterns, represent real-world situations using expressions and equations, and simplify expressions using the order of operations.
- Introduce Graphs to solve linear, quadratic, and simultaneous equations.
5.1 Introduction
“Algebra” is derived from the Arabic word written in the treatise of Medieval Persian Mathematician. The treatise provides a primary root of algebra and a systematic meaningful solution for the linear and quadratic equations. The late Middle English algebra style has come from Italian, Spanish, and medieval Latin, rooted in Arabic words.
5.1.1 Early History of Algebra
The ancient Babylonians invented formulas to resolve linear, quadratic, and indeterminate linear equations, which are the origins of algebra. Chinese, Greek, and Egyptian math used geometric techniques to determine these equations. Algebra was first developed as a branch of mathematics distinct from geometry and arithmetic by the Iranian mathematician Muammadibn.
The traditions of Egypt and Babylon were carried on by Hellenistic mathematicians such as Diophantus and Indian mathematician Brahmagupta (Brahmasphutasiddhanta, published in 628 AD), but on a higher level that incorporates zero or negative integers.
A debate about the entitlement of “the father of algebra” exists between the Greek mathematician Diophantus & Persian ...
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