Theory of equations
In mathematics, the theory of equations comprises a major part of traditional algebra. Topics include polynomials, algebraic equations, separation of roots including Sturm's theorem, approximation of roots, and the application of matrices and determinants to the solving of equations.
From the point of view of abstract algebra, the material is divided between symmetric function theory, field theory, Galois theory, and computational considerations including numerical analysis.[clarification needed]
This is not to be confused with the concept of an equational theory from universal algebra and model theory. In this case, an equational theory is usually defined as a theory whose only relations are equations.
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