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Meaning of "Galois theory" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD GALOIS THEORY

Named after Évariste Galois (1811–32), French mathematician.
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF GALOIS THEORY

Galois theory  [ˈɡælwɑː] play
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GRAMMATICAL CATEGORY OF GALOIS THEORY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Galois theory is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES GALOIS THEORY MEAN IN ENGLISH?

Galois theory

Galois theory

In mathematics, more specifically in abstract algebra, Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood. Originally, Galois used permutation groups to describe how the various roots of a given polynomial equation are related to each other. The modern approach to Galois theory, developed by Richard Dedekind, Leopold Kronecker and Emil Artin, among others, involves studying automorphisms of field extensions. Further abstraction of Galois theory is achieved by the theory of Galois connections.

Definition of Galois theory in the English dictionary

The definition of Galois theory in the dictionary is the theory applying group theory to solving algebraic equations.

WORDS THAT RHYME WITH GALOIS THEORY


armoire
ɑːmˈwɑː
boudoir
ˈbuːdwɑː
bourgeois
ˈbʊəʒwɑː
Chihuahua
tʃɪˈwɑːwɑː
couloir
ˈkuːlwɑː
devoir
ˈdevwɑː
Dubois
djuːˈbwɑː
Kwa
kwɑː
Levallois
ləˈvælwɑː
memoir
ˈmɛmwɑː
noir
nwɑː
pulwar
ˈpʌlwɑː
racloir
ˈrækˌlwɑː
repertoire
ˈrɛpəˌtwɑː
reservoir
ˈrɛzəˌvwɑː
Seychellois
ˌseɪʃɛlˈwɑː
shalwar
ˈʃælwɑː
tous-les-mois
ˌtuːleɪˈmwɑː
tulwar
ˈtʌlwɑː
wawa
ˈwɑːˌwɑː

WORDS THAT BEGIN LIKE GALOIS THEORY

Gallup
Gallup Poll
gallus
gallused
galluses
gally
gallygaskins
galoot
galop
galopade
galopin
galore
galosh
galoshes
Galsworthy
Galt
Galton

WORDS THAT END LIKE GALOIS THEORY

atomic theory
automata theory
big bang theory
big-bang theory
chaos theory
complexity theory
conspiracy theory
decision theory
game theory
gauge theory
information theory
kinetic theory
model theory
number theory
quantum theory
set theory
string theory
systems theory
the kinetic theory
theory
wave theory

Synonyms and antonyms of Galois theory in the English dictionary of synonyms

SYNONYMS

Translation of «Galois theory» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF GALOIS THEORY

Find out the translation of Galois theory to 25 languages with our English multilingual translator.
The translations of Galois theory from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Galois theory» in English.

Translator English - Chinese

伽罗瓦理论
1,325 millions of speakers

Translator English - Spanish

la teoría de Galois
570 millions of speakers

English

Galois theory
510 millions of speakers

Translator English - Hindi

गाल्वा सिद्धांत
380 millions of speakers
ar

Translator English - Arabic

نظرية جالويس
280 millions of speakers

Translator English - Russian

теория Галуа
278 millions of speakers

Translator English - Portuguese

teoria de Galois
270 millions of speakers

Translator English - Bengali

গালি তত্ত্ব
260 millions of speakers

Translator English - French

la théorie de Galois
220 millions of speakers

Translator English - Malay

Teori Galois
190 millions of speakers

Translator English - German

Galois -Theorie
180 millions of speakers

Translator English - Japanese

ガロア理論
130 millions of speakers

Translator English - Korean

갈루아 이론
85 millions of speakers

Translator English - Javanese

Teori Galois
85 millions of speakers
vi

Translator English - Vietnamese

lý thuyết Galois
80 millions of speakers

Translator English - Tamil

கலோஸ் கோட்பாடு
75 millions of speakers

Translator English - Marathi

गाल्वा सिद्धांत
75 millions of speakers

Translator English - Turkish

Galois teorisi
70 millions of speakers

Translator English - Italian

teoria di Galois
65 millions of speakers

Translator English - Polish

teoria Galois
50 millions of speakers

Translator English - Ukrainian

теорія Галуа
40 millions of speakers

Translator English - Romanian

teoria lui Galois
30 millions of speakers
el

Translator English - Greek

θεωρία Galois
15 millions of speakers
af

Translator English - Afrikaans

Galois -teorie
14 millions of speakers
sv

Translator English - Swedish

Galois teori
10 millions of speakers
no

Translator English - Norwegian

Galois teori
5 millions of speakers

Trends of use of Galois theory

TRENDS

TENDENCIES OF USE OF THE TERM «GALOIS THEORY»

The term «Galois theory» is normally little used and occupies the 110.971 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
48
/100
The map shown above gives the frequency of use of the term «Galois theory» in the different countries.
Principal search tendencies and common uses of Galois theory
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Galois theory».

FREQUENCY OF USE OF THE TERM «GALOIS THEORY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Galois theory» during the past 500 years. Its implementation is based on analysing how often the term «Galois theory» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Galois theory

EXAMPLES

10 ENGLISH BOOKS RELATING TO «GALOIS THEORY»

Discover the use of Galois theory in the following bibliographical selection. Books relating to Galois theory and brief extracts from same to provide context of its use in English literature.
1
Galois Theory
In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about ...
David A. Cox, 2012
2
Galois Theory, Third Edition
To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals.
Ian Stewart, 2003
3
A Course in Galois Theory
The work begins with an elementary discussion of groups, fields and vector spaces, and then leads the reader through such topics as rings, extension fields, ruler-and-compass constructions, to automorphisms and the Galois correspondence.
D. J. H. Garling, 1986
4
Field and Galois Theory
This book deals with classical Galois theory, of both finite and infinite extensions, and with transcendental extensions, focusing on finitely generated extensions and connections with algebraic geometry. The purpose of the book is twofold.
‎1996
5
Exploratory Galois Theory
The text is appropriate for traditional lecture courses, for seminars, or for self-paced independent study by undergraduates and graduate students.
John Swallow, 2004
6
Galois Theory: Lectures Delivered at the University of Notre ...
GALOIS THEORY Emi| Artin In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups—one of the most penetrating concepts in modern mathematics. The elements of the theory are clearly ...
Emil Artin, Arthur N. Milgram, 2012
7
Foundations of Galois Theory
Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory.
M. M. Postnikov, 2004
8
Galois Theory
Galois theory is a mature mathematical subject of particular beauty. While Artin's book pioneered an approach to Galois theory that relies heavily on linear algebra, this book's author takes the linear algebra emphasis even further.
Steven Weintraub, 2008
9
Galois Theory
This is an introduction to Galois Theory along the lines of Galois’s Memoir on the Conditions for Solvability of Equations by Radicals.
Harold M. Edwards, 1984
10
Inverse Galois Theory
This book presents a consistent and reasonably complete survey of important progress made in this field within the last few years, with the main emphasis on the rigidity method and its applications.
Gunter Malle, B.H. Matzat, 1999

10 NEWS ITEMS WHICH INCLUDE THE TERM «GALOIS THEORY»

Find out what the national and international press are talking about and how the term Galois theory is used in the context of the following news items.
1
Evariste Galois and the insolvability of the Quintic
Today's Galois theory is a broad and deeply penetrating mathematical construct that permeates the worlds of both mathematicians and ... «Science 2.0, Jun 15»
2
Lewis Thomas Prize to honor mathematicians Steven Strogatz and …
Stewart is also the author or co-author of influential research texts including Galois Theory, The Symmetry Perspective, Singularities and ... «The Rockefeller University Newswire, Mar 15»
3
Ignited by Martin Gardner, Ian Stewart Continues to Illuminate
Dr. Stewart is an enormously popular writer in mathematics, with books ranging from challenging (Galois Theory) to fun (Math Hysteria). I asked ... «New York Times, Oct 14»
4
The Deistic Maximalism Principle
... the 20 year old French mathematical genius who stupidly got himself shot in a duel, who gave the world, group theory and Galois theory. «h+ Magazine, Jul 14»
5
Angle trisection problem solved?
Wantzel's proof relies on ideas from the field of Galois theory – in particular, trisection of an angle corresponds to the solution of a certain cubic ... «InSerbia News, Apr 14»
6
Professor dies after 35 years of U. service
Faith, who lived in Princeton since 1960, focused his mathematical research in abstract algebra, Galois theory, ring theory and module theory, ... «RU Daily Targum, Jan 14»
7
Mathematics+Fatherhood: an Interview with Darren Glass
By training, I'm an arithmetic geometer, Galois theory type of person. But since tenure, I've diversified my research interests. I've followed ... «Scientific American, Dec 13»
8
Quick Study: Edward Frenkel on math
He came up with a beautiful theory on symmetry called Galois theory. His contemporaries didn't get it but this theory now forms the core of ... «The Economist, Dec 13»
9
What Is It Like to Have an Understanding of Very Advanced …
For example, Galois theory allows us to use our understanding of symmetries of shapes (e.g., rigid motions of an octagon) to understand why ... «Forbes, Jan 12»
10
Fairfield teen graduates from Warde and Yale -- at same time
... is reserved for the AP Modern European History class he takes at Warde and the other for Galois Theory, an advanced algebra class at Yale. «Westport-News, Jun 11»

REFERENCE
« EDUCALINGO. Galois theory [online]. Available <https://educalingo.com/en/dic-en/galois-theory>. Apr 2024 ».
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