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Definition of Galois theory
1. Noun. Group theory applied to the solution of algebraic equations.
Definition of Galois theory
1. Noun. The branch of mathematics dealing with Galois groups, Galois fields, and polynomial equations. ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Galois Theory
Literary usage of Galois theory
Below you will find example usage of this term as found in modern and/or classical literature:
1. Sophus Lie's 1884 Differential Invariant Paper by Sophus Lie, Robert Hermann (1976)
"A Galois theory FOR A LINEAR FIRST ORDER PARTIAL DIFFERENTIAL OPERATOR The only
systems for which there seems to be a "Galois theory" in a reasonably ..."
2. Sophus Lie's 1880 transformation group paper by Sophus Lie, Robert Hermann (1975)
"22.4 TOWARDS A Galois theory OF DIFFERENTIAL EQUATIONS It is well known that in
the theory of algebraic equations the theory of substitutions plays a ..."
3. Introduction to the Theory of Algebraic Equations by Leonard Eugene Dickson (1903)
"GALOIS' THEORY OF ALGEBRAIC EQUATIONS. CHAPTER V. ALGEBRAIC INTRODUCTION TO
GALOIS' THEORY. 49. Differences between Lagrange's and Galois' Theories. ..."
4. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"On the one hand, instructors are eager to teach Galois theory because of the ...
The particular difficulty of the task which Galois theory presents to the ..."
5. Toda Lattices, Cosymplectic Manifolds, Bäcklund Transformations, and Kinks by Robert Hermann (1977)
"I believe that, ultimately, there is some sort of Galois theory of the sort ...
A “Galois theory” FOR LINEAR, CONSTANT COEFFICIENT VECTOR FIELDS Suppose now ..."
6. An Introduction to the Modern Theory of Equations by Florian Cajori (1904)
"The problem, to solve an algebraic equation, is replaced in the Galois theory by
another problem, to bring about a reduction of the Galois group and a ..."
7. The Geometry of Non-linear Differential Equations, Bäcklund Transformations by Robert Hermann (1977)
"The Galois theory of Field Extensions and Polynomials 101 4. The Classical Approach
to Galois theory 118 5. The Galois-Picard-Vessiot Theory of Ordinary, ..."
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