Theory of equations

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.

See also

* Equation solving
* Root-finding algorithm
* List of polynomial topics
* List of equations


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  • Theory of equations — Equation E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the… …   The Collaborative International Dictionary of English

  • theory of equations — Math. the branch of mathematics dealing with methods of finding the solutions to algebraic equations. [1790 1800] * * * …   Universalium

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  • theory — [thē′ə rē, thir′ē] n. pl. theories [< Fr or LL: Fr théorie < LL theoria < Gr theōria, a looking at, contemplation, speculation, theory < theōrein: see THEOREM] 1. Obs. a mental viewing; contemplation 2. a speculative idea or plan as… …   English World dictionary

  • Equations of condition — Equation E*qua tion, n. [L. aequatio an equalizing: cf. F. [ e]quation equation. See {Equate}.] 1. A making equal; equal division; equality; equilibrium. [1913 Webster] Again the golden day resumed its right, And ruled in just equation with the… …   The Collaborative International Dictionary of English

  • theory — noun (plural ries) Etymology: Late Latin theoria, from Greek theōria, from theōrein Date: 1592 1. the analysis of a set of facts in their relation to one another 2. abstract thought ; speculation 3. the general or abstract principles of a body of …   New Collegiate Dictionary

  • theory — n. (pl. ies) 1 a supposition or system of ideas explaining something, esp. one based on general principles independent of the particular things to be explained (opp. HYPOTHESIS) (atomic theory; theory of evolution). 2 a speculative (esp.… …   Useful english dictionary

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  • Equations de Maxwell — Équations de Maxwell  Ne doit pas être confondu avec Relations de Maxwell. Les équations de Maxwell, aussi appelées équations de Maxwell Lorentz, sont des lois fondamentales de la physique. Elles constituent les postulats de base de l… …   Wikipédia en Français

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