Galois Theory for Dummies - Part I
Thursday, September 27th, 2007
Galois Theory is an algebraic theory providing a powerful connection between fields and groups. Many complicated problems involving fields can be converted to (possibly) simpler problems involving groups.
Galois Theory, albeit being extremely beautiful (it answers some very elementary questions, which were all open problems until its arrival), is far from being wildly known (i.e. by non-mathematicians). One of the reasons for this, in my opinion, is that is it a vast subject and most books on the topic are filled with too many details and so are inadequate for a quick read.