**Contemporary Mathematics**

Volume: 275;
2001;
171 pp;
Softcover

MSC: Primary 33; 47; 68; 65; 11; 60;

**Print ISBN: 978-0-8218-2141-1
Product Code: CONM/275**

List Price: $64.00

AMS Member Price: $51.20

MAA Member Price: $57.60

**Electronic ISBN: 978-0-8218-7865-1
Product Code: CONM/275.E**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

# Council for African American Researchers in the Mathematical Sciences: Volume III

Share this page *Edited by *
*Alfred G. Noël; Earl Barnes; Sonya A. F. Stephens*

This volume presents research and expository papers presented at the third and fifth meetings of the Council for African American Researchers in the Mathematical Sciences (CAARMS). The CAARMS is a group dedicated to organizing an annual conference that showcases the current research primarily, but not exclusively, of African Americans in the mathematical sciences, including mathematics, operations research, statistics, and computer science. Held annually since 1995, significant numbers of researchers have presented their current work in hour-long technical presentations, and graduate students have presented their work in organized poster sessions. The events create an ideal forum for mentoring and networking where attendees can meet researchers and graduate students interested in the same fields. For volumes based on previous CAARMS proceedings, see African Americans in Mathematics II (Volume 252 in the AMS series, Contemporary Mathematics), and African Americans in Mathematics (Volume 34 in the AMS series, DIMACS).

#### Readership

Graduate students and research mathematicians.

# Table of Contents

## Council for African American Researchers in the Mathematical Sciences: Volume III

- Contents vii8 free
- Preface ix10 free
- I. Research and Expository Papers 112 free
- A lower bound for the chromatic number of a graph 314
- The fractional parts of N/K 1324
- Ultrafilters and Ramsey theory 3344
- Artin's conjecture and elliptic curves 3950
- Chaoticity results for "join the shortest queue" 5364
- Maintenance of deteriorating machines with probabilistic monitoring and silent failures 6980
- The application of numerical grid generation to problems in computational fluid dynamics 95106
- The elementary residual method 107118
- The response of the upper ocean to surface buoyancy forcing: A characteristic solution to wave propagation 117128
- An overview of integra-differential equations and variational Lyapunov method 129140

- II. Papers on Philosophy of Mathematics 137148
- III. Tutorials 159170