(S. Smith) Supplementary Topics: An Introduction to Advanced Mathematics, Math 215, Spring 2002

An Introduction to Advanced Mathematics
Supplementary Topics

(29dec01) Thanks to Prof Hurder for this list of supplements!

HANDOUTS

These Handouts are short discussions of topics that were discussed in class.

Introduction to the Simplex Method of Linear Optimization
One version has very nice fonts but no picture.
The other version has a picture and lousy fonts.
Both PDF files have the same text.

SUPPLEMENTAL BOOKS

Here is a selection of books and that cover topics somehow related to our course, or maybe which might just be of interest.

The following books give a nice introduction to Set Theory, Counting and other related topics.

Set Theory and Metric Spaces by Irving Kaplansky. This is an older book, no nonsense and written by a famous algebraist from the University of Chicago, with a very clean exposition of Cantor's Theory of Ordinal and Cardinal numbers.

The Joy of Sets by Keith J. Devlin. This is a modern introduction to Set Theory, and considered very good for beginners. Devlin is a prolific writer about mathematics for the public.

The following book is a classic on problem solving. (Read the review from amazon.com to tempt you.)

The following book is one of the best recent books on the general history of math.

Here is a recent book on the Georg Cantor and the study of infinity.

HOW TO PROVE IT

A selection of web sites on topics related to proofs.

MATH HUMOR

Math humor ranges from the witty to the abysmal. On the other hand, where would Jason be without Math, or Calvin & Hobbes?

OTHER MATH SITES

Here is a selection of web sites on math topics that might be of interest.

Updated October 16, 2001