Math 361, Spring 2013, Assignment 13

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Define the following terms, then give one example and one non-example of each:[edit]

  1. Gaussian integer.
  2. Rational integer.
  3. Multiplicative norm (how does this differ from the definition of Euclidean norm given earlier?).

Carefully explain how to execute the following algorithm, and say what it is for:[edit]

  • Euclidean algorithm.

Solve the following problems:[edit]

  • Section 46, problems 9 and 11.
  • Section 47, problems 1, 3, 5, and 7.