I'll mention my own (and Diane Resek's) "Foundations of Higher Mathematics: Exploration and Proof" from Addison Wesley Longman.
__________________________ Professor of Mathematics, San Francisco State University firstname.lastname@example.org Work phone: 415-338-1805 Work fax: 415-338-1461 Home phone: 510-653-8520 Home fax: 510-653-7761
On Wed, 26 Jul 2000, RayM wrote:
> Take a look at > _ How to Read and Do Proofs _ > by Daniel Solow > pub. Wiley. > > In paper, it's only ~$30. > If that's too narrow, there's a Dover text for about $30 that does a good > job of covering the things you mentioned. I think the title is > "Mathematics"; UCSD bookstore has it, I can go look > > > > > > Dear Listserv members, > > > > > > This fall I will be teaching a course in mathematical thought (i.e., > logic, > > > theorem proving) to junior level elementary education mathematics > > > specialists. This is my first time teaching this course and I am > trying to > > > find a good book to use. The person who has taught this course before > uses > > > his own notes and provides supplemental readings because many of the > > > standard texts for this type of course are geared strictly towards > > > mathematics majors. As a result, we only use about 25%-30% of most > books > > > are suitable for our students. (And most of these books cost more than > > > $100.) From what I've seen, we typically cover truth tables, > elementary set > > > theory, mathematical inducation, and elementary proofs in number > theory. > > > > > > I had thought that Ivan Nivens little gem on Rational and Irrational > numbers > > > (a paperback published by MAA) would be good because if its > conversational > > > style of writing, but even that book doesn't cover some of the topics > I've > > > listed above. > > > > > > Does anyone out there have any suggestions? I am not adverse to > creating my > > > own notes and supplemental materials, but I am teaching four classes > this > > > fall while working on two grants, so my time is somewhat constrained. > > > Having a good book would help me out. > > > > > > Mark Klespis > > > Sam Houston State University > > > > > > > > > >