Saul Stahl
RESEARCH INTERESTS:
Topological graph theory and graph (multi)colorings.
SAMPLE RESEARCH PAPERS:
- On the zeros of some genus polynomials, Canad. J. Math.,
49
(1997),
617-640.
- The multichromatic number of some Kneser graphs, Disc.
Math. 185(1998)
287-291.
- Note on the nth chromatic numbers of the Grotzsch graph, J.
Graph Theory,
20 (1996) 207-209.
EDUCATIONAL INTERESTS:
I am working on creating alternative curricula for standard post
calculus
mathematics courses. I try to make the subject matter more interesting
by providing it with a focus and using the historical evolution of the
subject matter as a guide.
TEXTS:
- The Poincare Half-Plane: A Gateway to Modern Geometry,
Jones
&
Bartlett, 1993.
- Introductory Modern Algebra: A Historical Approach, J.
Wiley
&
Sons, 1996.
- A Gentle Introduction to Game Theory, AMS Mathematical
World
Volume
13, 1999.
- Real Analysis: A Historical Approach, J. Wiley &
Sons,
1999.
- Geometry from Euclid to Knots. This is a geometry text
for prospective
high
school teachers. It is based on Euclid's The Elements but contains lots
of exercises as well as some additional topics. This book is meant to
be
a prequel to the above Modern Geometry text. It has been used in
teaching
a course. It will be published soon by Prentice Hall. For a table
of contents see: Geometry
from Euclid to Knots .
- Introduction to Topology and Geometry. This is
meant to be used
on the
senior/first year graduate level. For a table of contents
see: Introduction
to Topology and Geometry .
- Understanding Modern Mathematics. Mathematics for
liberal arts
majors.
For a table of contents see: Understanding
Modern Mathematics.
- Multivariable Calculus
ERRATA: