Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Galois theory
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==References== * {{cite book | first=Emil |last=Artin | title=Galois Theory | publisher=Dover | year=1998 | isbn=0-486-62342-4 | author-link=Emil Artin |orig-year=1944}} * {{cite book | author-link=Jörg Bewersdorff |last=Bewersdorff|first=Jörg | title=Galois Theory for Beginners: A Historical Perspective|series=The Student Mathematical Library| publisher=American Mathematical Society | year=2006 |volume=35| isbn=0-8218-3817-2|doi=10.1090/stml/035|s2cid=118256821 }} * {{citation|last1=Brantner|first1=Lukas|last2=Waldron|first2=Joe|title=Purely Inseparable Galois theory I: The Fundamental Theorem|year=2020|arxiv=2010.15707}} * {{cite book|first=Gerolamo|last=Cardano|year=1545|title=Artis Magnæ|language=la|author-link=Gerolamo Cardano|url=http://www.filosofia.unimi.it/cardano/testi/operaomnia/vol_4_s_4.pdf|access-date=2015-01-10|archive-date=2008-06-26|archive-url=https://web.archive.org/web/20080626092254/http://www.filosofia.unimi.it/cardano/testi/operaomnia/vol_4_s_4.pdf|url-status=dead}} * {{cite book |first=Harold M. |last=Edwards |author-link=Harold Edwards (mathematician) |title=Galois Theory |publisher=Springer-Verlag |year=1984 |isbn=0-387-90980-X |url-access=registration |url=https://archive.org/details/galoistheory00edwa_0 }} ''(Galois' original paper, with extensive background and commentary.)'' * {{cite journal| first= H. Gray | last=Funkhouser | author-link = Howard G. Funkhouser | title=A short account of the history of symmetric functions of roots of equations | journal=American Mathematical Monthly | year=1930 | volume= 37 | issue=7 | pages=357–365 | doi=10.2307/2299273| jstor= 2299273 }} * {{springer|title=Galois theory|id=p/g043160}} * {{citation|first=Nathan|last=Jacobson|title=Galois theory of purely inseparable fields of exponent one|journal=Amer. J. Math.|volume=66|year=1944|issue=4 |pages=645–648|doi=10.2307/2371772|jstor=2371772}} * {{cite book | first=Nathan |last=Jacobson| title=Basic Algebra I |edition=2nd | publisher=W. H. Freeman | year=1985 | isbn=0-7167-1480-9 | author-link=Nathan Jacobson}} ''(Chapter 4 gives an introduction to the field-theoretic approach to Galois theory.)'' * {{Cite book | last1=Janelidze | first1=G. | last2=Borceux | first2=Francis | title=Galois Theories | publisher=[[Cambridge University Press]] | isbn=978-0-521-80309-0 | year=2001 }} (This book introduces the reader to the Galois theory of [[Grothendieck]], and some generalisations, leading to Galois [[groupoids]].) * {{Cite book | last1=Lang | first1=Serge | author1-link=Serge Lang | title=Algebraic Number Theory | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-0-387-94225-4 | year=1994 }} * {{cite book|first=M. M. |last=Postnikov | title=Foundations of Galois Theory | publisher=Dover Publications | year = 2004 | isbn=0-486-43518-0}} * {{cite book|first=Joseph|last= Rotman | title =Galois Theory |edition=2nd | publisher=Springer| year=1998 | isbn=0-387-98541-7}} * {{Cite book | last1=Völklein | first1=Helmut | title=Groups as Galois groups: an introduction | publisher=[[Cambridge University Press]] | isbn=978-0-521-56280-5 | year=1996 | url-access=registration | url=https://archive.org/details/groupsasgaloisgr0000volk }} * {{Cite book | last1=van der Waerden | first1=Bartel Leendert | author1-link=Bartel Leendert van der Waerden | title=Moderne Algebra |language= de |publisher=Springer | year=1931 | location=Berlin }}. '''English translation''' (of 2nd revised edition): {{Cite book | title = Modern Algebra | url = https://archive.org/details/modernalgebra02waer | url-access = registration | publisher=Frederick Ungar |location= New York |year= 1949}} ''(Later republished in English by Springer under the title "Algebra".)''
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Galois theory
(section)
Add topic