pithagares
The father of algebra is known as Diophantus. He made great contributions to mathematics in the form of number theory.
Algebra is a form (or subset) of mathematics.
pure mathematics is mathematics studied and used reasons other than application. So some algebra certainly might be, but not all algebra. Modern or abstract algebra would fit better in that category.
Algebra is a branch of mathematics and not a spoken language.
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Algebra is used for mathematics
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Both Diophratus (300AD) and Al-Khwarizmi(800 AD) are often called the "father of algebra". I like Al- Khwarizmi because he use the term "al-jabr" which now is known as algebra. Al jabr ( arabic) means, when loosely translated, "what I do to one side of the equation, do the the other"
because of you.....
Table algebra is the branch of mathematics like geometry and others.
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The three main types of Mathematics: Arithmetic, Geometry, and algebra.