Results 1 to 4 of 4

Math Help - nice little book on Galois theory

  1. #1
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1

    nice little book on Galois theory

    In case anyone is interested, I found a very nice little book on Amazon called "Galois Theory" by Emil Artin. It explains this rather 'heady' topic about as well as it can be explained. It's from lectures given at Notre Dame, I think.

    Anyway, if anyone is interested, it can be obtained from Amazon for about $8.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by galactus View Post
    In case anyone is interested, I found a very nice little book on Amazon called "Galois Theory" by Emil Artin. It explains this rather 'heady' topic about as well as it can be explained. It's from lectures given at Notre Dame, I think.

    Anyway, if anyone is interested, it can be obtained from Amazon for about $8.
    It looks too small. Galois Theory itself can be probably written in under 10 pages. But that is assuming all the prequistes exist. Most books on Galois theory are small but not that small, they go over some topics that are necessary.

    How advanced is it? Does it mention stuff like Solvable groups, seperable extensions, splitting fields ....
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    How advanced is it? Does it mention stuff like Solvable groups, seperable extensions, splitting fields ....
    Yes.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    I just realized that the author is Emil Artin. I heard of him before, he was a leading expert in field theory.

    Intially field theory 200 years ago by Galois an Abel looked nothing like it is today. Later mathematicians redone some of their idea. I believe Leopold Kroneckor and Ernst Kummer from the turn of the 20th century modernized much of it. It was Emil Artin who introduced the concepts of Galois groups and Field automorphisms. In fact, if you open an new book on this subject most of its developement is based on Artin.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Textbooks on Galois Theory and Algebraic Number Theory
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: July 8th 2011, 07:09 PM
  2. [SOLVED] Galois Theory: when does [E : F] \= |Gal(E/F)| ?
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: April 8th 2011, 07:20 AM
  3. Galois Theory
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 13th 2009, 04:30 AM
  4. galois Theory
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: February 22nd 2009, 07:48 AM
  5. galois theory
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 24th 2008, 09:24 PM

Search Tags


/mathhelpforum @mathhelpforum