FOM Assignment 4 (due 10.2.15)

  1. Finish reading Chapter 2 and finish reading Chapter 4 (we are skipping Chapter 3).
  2. The following statement appears as a definition in our textbook:  \forall a, b \in \mathbb{Z} \left(\text{with } b>0\right), \exists q, r \in \mathbb{Z}, a = qb + r \text{ and } 0 \leq r <b.  What is this called?
  3. What does the notation a \mid c mean?
  4. What does “WLOG” stand for?
  5. Exercise 3, pg. 100
  6. Exercise 6, pg. 100
  7. Exercise 12, pg. 100
  8. Exercise 14, pg. 100
  9. Exercise 26, pg. 100
  10. Exercise 28, pg. 100

 

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