Media Summary: In this video we introduce the concept of the Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the Lecture 39 To access the translated content:
Splitting Fields Part 1 - Detailed Analysis & Overview
In this video we introduce the concept of the Field Theory: Let f(x) = x^4 -16x^2 +4. We find the roots of f(x), calculate the Lecture 39 To access the translated content: We review Section 13.1 and 13.2 and cover half of Section 13.4 of Dummit and Foote. I forgot to mention this in the video but e^(pi*i/6) is a PRIMITIVE twelfth root of unity (not just a twelfth root of unity). The primitive ... In this video, we introduce, with examples, the notion of a