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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.
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He explains Galois theory, including such topics as splitting fields and their automorphisms, the characteristics of a field, derivation of a polynomial (multiple roots), the degree of an extension field, group characters, fundamental theorems and finite fields, then moves to polynomials with integral coefficients, including irreducibility and primitive roots of unity, and the theory of equations, including ruler and compass constructions, and the theorems of Steinitz and Abel.
Algebra with Galois theory by SciTech Book News
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.
The Mathematical Career of Pierre de Fermat, 1601-1665, 2nd ed by Ouwendijk, George / Renaissance Quarterly
This honors course includes concepts typically covered in intermediate, advanced, and college algebra, including functions and graphing, exponential and logarithmic functions, theory of equations, conic sections, matrices and determinants, and an introduction to probability.
Academic Systems and Institute for the Academic Advancement of Youth ... by Business Wire
 
 
 
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