V  Quadratic Reciprocity

  1. Introduction. Quadratic congruences, square roots modulo a prime.
  2. Quadratic residues and non residues.
  3. Euler's Critereon.
  4. Gauss' Lemma.
  5. The quadratic character of 2:  for which primes  p  does  2  have a square root mod p?
  6. Geometric interpretation of Gauss' Lemma.
  7. Gauss' Law of Quadratic Reciprocity.