The paragraph that talked about extension fields was particularly confusing to me. Partly because they use K to represent the field of congruence classes and then also the application where it says that although p(x) is irreducible in F[x], it may have roots in the extension field K. I haven't yet been able to sort out what that means or why it is true.
The section that discussed introducing new number systems and explained the complex numbers, how they work, why they're valid was definitely the most interesting part of this reading. I liked the little bit of math history thrown in there, and I also thought it was interesting that you can define complex numbers in this way and bring more meaning to them. It also helped to slightly clear up my confusion on the earlier part that I read, which is a little less fuzzy now.
No comments:
Post a Comment