Other What are some good books for learning Galois Theory?

  • Thread starter Thread starter Math100
  • Start date Start date
Math100
Messages
815
Reaction score
229
May anyone/someone please suggest/recommend some books on learning Galois Theory? Before learning this pure mathematics subject, is the knowledge of group theory required in order to study Galois Theory? I have the e-textbook of Galois Theory by Ian Stewart, 4th edition but was wondering if there are other Galois Theory books for practice.
 
Physics news on Phys.org
Galois theory sits at the intersection of group theory, field theory, and linear algebra. Learning more about groups, rings, and fields will prepare you for Galois theory. Linear Algebra concepts are good to have under your belt as well.

Some folks recommend:

- Introduction to Galois Theory by Hernandez & Laszlo -- a modern and concise undergrad text

or

- Galois Theory by David Cox — many students and self-learners like how Cox presents multiple perspectives and emphasizes clarity.

In any event, you need to remember that self-study means you'll be using many books to develop your understanding of Galois theory.
 
jedishrfu said:
Galois theory sits at the intersection of group theory, field theory, and linear algebra. Learning more about groups, rings, and fields will prepare you for Galois theory. Linear Algebra concepts are good to have under your belt as well.

Some folks recommend:

- Introduction to Galois Theory by Hernandez & Laszlo -- a modern and concise undergrad text

or

- Galois Theory by David Cox — many students and self-learners like how Cox presents multiple perspectives and emphasizes clarity.

In any event, you need to remember that self-study means you'll be using many books to develop your understanding of Galois theory.
I've taken Linear Algebra before but haven't taken classes/courses for group theory nor field theory. I think I have to buy/purchase these books then. Thank you for the suggestion/recommendation.
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
Back
Top