Paper by Nathaniel Johnston about the derivation of Conway's polynomial.

Book edited by Thomas, Cover and Gobinath and containing Conway's original article on the subject (pp. 179--194).

Table of transitions between Conway's elementary blocks.

Conway's polynomial and its roots.

Transfer matrix.

Maple program to compute Conway's polynomial, together with the result of its work.

Lecture notes.

Barry Mazur. Algebraic numbers. (A review of basic ideas.)

S.Lang. Algebra. (Proof that the field of algebraic numbers is algebraically closed).

S.Lang. Algebraic numbers. (Rather advanced book.)

van der Waerden. Algebra. (Proof that the field of algebraic numbers is algebraically closed).

V.Prasolov. Polynomials. (Resultants, Tchirnhaus transformation, criteria of irreducibility.)

The sum of two algebraic numbers: Dr.Jacques. (Elementary.)

Degree of sum of algebraic numbers.

I.M.Isaacs. Degrees of sums in separable field extensions. (Proved that if deg(a)=m, deg(b)=n and m,n are mutually prime then deg(a+b)=mn).

Algebraic numbers of degree 3 and 6 whose sum is of degree 12.

Proof using tensor products.

Drungilas et al. On the sum of two algebraic numbers.

Anonymous. The Sylvester resultant. (On the resultant of a pair of bivariate polynomials).

Maple program to find the degree of 3^(1/2)+s^(1/3) and the result of its work.

Lectures 3-4

Paper by Churchhouse and Muir

Paper by Stark.