Assignments for Weeks 10 and 11

Remember that the rough draft of your second paper is due Wednesday, Apr. 17. See posted policies for more details. (I have added an item to the list "Choice of topic".)

Reading

Read Chapters 5 and 6. Beware of a few misprints and foibles:

• Page 222 uses the concept of "defect", which is not defined until p. 252. (See the last exercise below.)
• Page 254, line ll: Angle C should be Angle C'. (In line 13, it really should be Angle C.)
• Page 260: The last paragraph of the proof of Prop. 6.6 seems to have migrated to the end of the next proof ("To prove symmetry ...", pp. 261-262).

Homework due Monday, April 15

1. Exercise 5.1, p. 228.
2. Exercise 5.7, p. 231. (W) (Hint: Review textbook and class notes on "Axioms of continuity".)
3. Exercise 6.6, p. 271-272.
4. Exercise 6.7, p. 272.
5. Exercise 6.10, p. 273.
6. Use Proposition 6.1 to justify the "defect" argument in Legendre's proof (end of first full paragraph on p. 222, "Therefore ... 2d").