theory of equations


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theory of equations

[′thē·ə·rē əv i′kwā·zhənz]
(mathematics)
The study of polynomial equations from the viewpoint of solution methods, relations among roots, and connections between coefficients and roots.
References in periodicals archive ?
New First Course in the Theory of Equations, John Wiley and Son, Inc.
Mahoney details the evolution and significance of the enormous mathematical strides taken by Fermat: analytic geometry, theory of equations, methods of finding maxima and minima and tangents of lines, the quadrature and rectification of curves.
More specifically, the paper demonstrates the applicability of Descartes' Rule of Signs, Budan's Theorem, and Sturm's Theorem from the theory of equations and rules developed in the business literature by Teichroew, Robichek, and Montalbano (1965a, 1965b), Mao (1969), Jean (1968, 1969), and Pratt and Hammond (1979).
The mathematical theory of equations of micropolar fluids and application of these fluids in the theory of lubrication and in the theory of porous media is presented in Lukaszewicz [4].

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