Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Galois theory
(section)
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".)''
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)