Galois Theory Intro Cut Short - Seeking Resources

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SUMMARY

The discussion centers on the need for resources in Galois theory following an incomplete lecture series. The participant expresses disappointment over the abrupt end of the course after only 3-4 lectures, which sparked their interest in advanced algebra topics. They seek online resources or guidance to further their understanding, particularly in concepts related to ideals and foundational algebra. Mathwonk's website is highlighted as a valuable resource for abstract algebra notes.

PREREQUISITES
  • Basic understanding of algebraic structures, including groups, rings, and fields.
  • Familiarity with the concept of ideals in ring theory.
  • Introductory knowledge of abstract algebra principles.
  • Access to online educational resources for self-study.
NEXT STEPS
  • Explore Mathwonk's website for comprehensive notes on abstract algebra.
  • Study Galois theory through online courses or lectures, focusing on foundational concepts.
  • Research the relationship between field extensions and Galois groups.
  • Practice problems related to ideals and their applications in Galois theory.
USEFUL FOR

Students of mathematics, particularly those interested in abstract algebra and Galois theory, as well as educators seeking supplementary resources for teaching these concepts.

Kindayr
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I was taking a lecture series this summer at my school where a professor was introducing us to introductory Galois theory. It was a very 'slack' introduction, without too much rigour. However, about a month in (only 3-4, 3 hr lectures) they stopped due to outstanding circumstances.

I was a little upset due to how the course basically got my juices flowing for Galois theory and 'tougher' algebra.

I was wondering if anyone had some online resources, or was even willing to walk me through it here in this thread out of interest.

We had started from basically nothing (it was not expected to have any experience in group, ring or field theory). We had just began to discuss ideals before its abrupt end.

Anything anyone has to offer is awesome, conceptual or rigourous.

Thanks ahead :)
 
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Whoa, that's exactly what I was looking for, perfect :)


Thanks
 

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