Homework Assignment 17
Assigned Tuesday January 28; due Friday February 7, 2PM at SS 1071
All of Spivak Chapter 19.
From Spivak Chapter 19: Part (v) of each of problems 1, 2, 3, 5, 7, 9.
Spend 20 minutes a day over the next 7 days doing extra parts of
problems 1-9 of Chapter 19. Never finish your work!!! Just get to the
point where you are convinced that you know how to continue. In
particular, avoid writing what you can do in your head and don't bother to
simplify your results.
- Is there an operation (star) that relates to
(times) like relates to (plus)? I.e., we hope that
and will satisfy P1-P13, or at least P1-P9, with
replacing and with replacing (possibly with some
replacemet for the values of 0 and 1). Hint:
if only for
and thus P8 would fail.
- Is there an operation that relates to like
relates to ?
- Write the obvious third, fourth and fifth parts of this question and
solve them (you may wish to use the symbols ,
Challenging math problems sessions,
meant to expose students to the beauty of such problems and to help
them succeed in the likes of the
Mathematics Competition, are held on Wednesdays at 4-6PM at UC376, as
of last week. Enjoy!
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