Topics in Intro to "Algebraic Numbers"

Numbered in the order to learn them.

  1. What Are Algebraic Numbers and Minimal Polynomials?

  2. Minimal Polynomials Are Irreducible

  3. Do All Numbers Have Minimal Polyomials?

  4. Roots of Irreducibles Are "Conjugate"

  5. Minimal Polynomials vs. Irreducibles; Squarefree, Etc.

  6. Reducing Polynomial Expressions in the Roots

  7. "Strong" Factor Theorem (Minimal Polynomial Factor)

Type a concept, like “slope” or “photosynthesis”.

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