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Galois theory

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Ga·lois theory  (gl-wä)
n.
The part of algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. It gives conditions under which the solutions can be expressed in terms of addition, subtraction, multiplication, division, and of the extraction of roots.

[After Évariste Galois (1811-1832), French mathematician.]

Galois theory [ˈgælwɑː]
n
(Mathematics) Maths the theory applying group theory to solving algebraic equations
[named after Évariste Galois (1811-32), French mathematician]
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.Galois theory - group theory applied to the solution of algebraic equations
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
group theory - the branch of mathematics dealing with groups


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100 QA154 This mathematics textbook for graduate students covers the fundamentals of abstract algebra including fields and Galois theory, algebraic number theory, algebraic geometry and groups, rings and modules.
As to his heroes, du Sautoy says he is an admirer of Evariste Galois, the young French mathematician whose work as a teenager led to the creation of Galois theory, a field of abstract algebra, and whose commitment to the Republican cause led to his death, aged 20, after a duel in 1832.
Divisibility * Groups * Group Homomorphisms * Introduction to Rings * The Familiar Number Systems * Polynomials * Quotient Rings * Galois Theory: Overview * Galois Theory * Geometric Constructions * Solvable and Alternating Groups * Applications of Permutation Groups * Symmetry * Lattices and Boolean Algebras For more information visit http://www.
 
 
 
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