Math 361, Spring 2013, Assignment 13
From cartan.math.umb.edu
Define the following terms, then give one example and one non-example of each:
- Gaussian integer.
- Rational integer.
- 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:
- Euclidean algorithm.
Solve the following problems:
- Section 46, problems 9 and 11.
- Section 47, problems 1, 3, 5, and 7.