Galois Theory: Textbook recommendations?

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SUMMARY

The discussion centers on recommendations for studying Galois Theory, particularly for individuals familiar with "A Book of Abstract Algebra" by Charles C. Pinter. Participants suggest "Galois Theory" by Emil Artin and "Galois Theory for Beginners: A Historical Perspective" by Jorg Bewersdorff as suitable follow-up texts. Additionally, "Galois Theory (Second Edition)" by David Cox, published by Wiley in 2012, is mentioned as a promising option based on initial impressions. The recommendations cater to those who appreciate Pinter's pedagogical style and seek to deepen their understanding of Galois Theory.

PREREQUISITES
  • Familiarity with abstract algebra concepts, particularly from "A Book of Abstract Algebra" by Charles C. Pinter.
  • Understanding of fundamental algebraic structures such as groups, rings, and fields.
  • Basic knowledge of mathematical proofs and problem-solving techniques.
  • Interest in historical perspectives on mathematical theories, particularly in Galois Theory.
NEXT STEPS
  • Read "Galois Theory" by Emil Artin to explore advanced concepts in Galois Theory.
  • Study "Galois Theory for Beginners: A Historical Perspective" by Jorg Bewersdorff for a comprehensive introduction.
  • Examine "Galois Theory (Second Edition)" by David Cox for a modern take on the subject.
  • Research additional resources on solving equations by radicals to complement Galois Theory studies.
USEFUL FOR

Students of abstract algebra, mathematics enthusiasts, and anyone looking to deepen their understanding of Galois Theory will benefit from this discussion.

Kiwi1
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I have been working my way through the book "A book of Abstract Algebra" by Charles C. Pinter. By the time I get to the end it will have taken me 2 years of self study, solving every exercise during my daily commute. A great little book!

The last two chapters are titled:

Chapter 32: Galois Theory: The heart of the matter
Chapter 33: Solving equations by radicals

Can anyone recommend a book on Galois theory for me to choose as my next "project"? If you happen to know Pinter's book even better because it really suits my style and is at a good level for me.
 
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Hi Kiwi,

You might enjoy "Galois Theory" by Emil Artin and "Galois Theory for Beginners: A Historical Perspective" by Jorg Bewersdorff.
 
Kiwi said:
I have been working my way through the book "A book of Abstract Algebra" by Charles C. Pinter. By the time I get to the end it will have taken me 2 years of self study, solving every exercise during my daily commute. A great little book!

The last two chapters are titled:

Chapter 32: Galois Theory: The heart of the matter
Chapter 33: Solving equations by radicals

Can anyone recommend a book on Galois theory for me to choose as my next "project"? If you happen to know Pinter's book even better because it really suits my style and is at a good level for me.
Hi Kiwi ...A possible text would be ...Galois Theory (Second Edition) by David Cox (Wiley 2012)I have only just purchased the book ... but at first glance it looks pretty good ...Peter
 

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