Core concepts of algebraic structure: the objects, groups, rings, fields and vector spaces, and the operations, matrices, polynomials and determinants, algebra studies. Belongs here: Determinant, Eigenvalues and Eigenvectors, Equation, Field (Abstract Algebra), Group (Abstract Algebra), Matrix, Polynomial, Ring (Abstract Algebra), Symmetry, Tensor and Vector Space. Does not belong here: number-theoretic concepts such as Prime Number, filed under Number Theory even though number theory uses algebraic language.
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Sources
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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