MATH 3210 § 2 | SECOND HOMEWORK ASSIGNMENT | Due Friday, |

A. Treibergs | September 10, 2004 |

- A. Please hand in the following exercises from the text "An Introduction to Analysis, Third Edition" by William Wade, Prentice Hall, 2004.
- 10 [ 3, 4 part (8) only]
- B. Please hand in the following additional exercises.
- Prove in detail using only the Field Axioms: for any a,b,c,d, in
**R**,(a-b)(c-d)=(ac+bd)-(ad+bc).

- Prove that if a field has more than one element, then 1 ≠ 0 is a consequence of the field axioms and does not have to be assumed as it is in the text's Postulate 1.

- Prove in detail using only the Field Axioms: for any a,b,c,d, in