MSC2020's 06 and 08 through 20 blocks: algebraic structures, sets equipped with operations obeying fixed laws, from a single group's symmetries to the machinery that relates one algebraic structure to another. Belongs here: algebra, group theory, ring theory, field theory, linear algebra, commutative algebra, representation theory, homological algebra, category theory and order theory. Does not belong here: number theory or algebraic geometry, each its own MSC block and its own category here despite sharing algebraic tools.
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Era Of Emergence All Algebra
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1. Wikipedia: Algebra
Wikimedia FoundationHistory sectionQuote, History section
This changed with the Persian mathematician Al-Khwarizmi, who published his The Compendious Book on Calculation by Completion and Balancing in 825 CE. Al-Khwarizmi provided the first analytical theory for solving equations by classifying them into six standard forms and offering systematic, step-by-step procedures for their solutions.
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