The history of Algebra began in ancient Egypt and Babylon 2000 years ago. People started to solve very simple linear and quadratic equations as well as some indeterminate and quadratic functions in the same way that is taught nowadays.
Later on, in Alexandria, Diophantus writed the book Arithmetica, solving much more complex equations, egyptian mathematicians however, were more interested in solving linear equations only.
Ancient
civilizations wrote out algebraic expressions using only occasional
abbreviations, but by medieval times Islamic mathematicians were able to talk
about arbitrarily high powers of the unknown x, and work out the basic algebra
of polynomials (without yet using modern symbolism).
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