(mathematics) The study of polynomial equations from the viewpoint of solution methods, relations among roots, and connections between coefficients and roots.
| Sci-Tech Dictionary: theory of equations |
(mathematics) The study of polynomial equations from the viewpoint of solution methods, relations among roots, and connections between coefficients and roots.
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| Wikipedia: 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.
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