Algebra

2210 Submissions

[2] viXra:2210.0166 [pdf] replaced on 2022-11-06 12:32:47

Hidden Premises in Galois Theory

Authors: Timothy W. Jones
Comments: 6 Pages. I've added a section that clarifies earlier statements concerning algebraic versus transcendental numbers. Thanks for any patience.

This is a primer for Chapter 3 of Hadlock's book Field Theory and Its Classical Problems: Solution by Radicals. We take a rather naive perspective and consider the linear and quadratic cases afresh and evolve what is really met by solving a polynomial by radicals. There are what we consider to be several hidden premises that some students might be subconsciously puzzled about.
Category: Algebra

[1] viXra:2210.0007 [pdf] replaced on 2023-06-09 04:06:22

The Expression of Binomial Formula ( a + B)^n When N is a Prime

Authors: Quang Nguyen Van
Comments: 3 Pages.

We give the expression of binomial formula (a + b)^n when n is a prime number.
Category: Algebra