Contemporary Mathematics 2001; 171 pp; softcover Volume: 275 ISBN10: 0821821415 ISBN13: 9780821821411 List Price: US$60 Member Price: US$48 Order Code: CONM/275
 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 hourlong 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 Research and expository papers  E. R. Barnes  A lower bound for the chromatic number of a graph
 M. R. Currie and E. H. Goins  The fractional parts of \(\frac NK\)
 D. E. Davenport  Ultrafilters and Ramsey theory
 E. H. Goins  Artins' conjecture and elliptic curves
 C. Graham  Chaoticity results for "join the shortest queue"
 J. S. Ivy and S. M. Pollock  Maintenance of deteriorating machines with probabilistic monitoring and silent failures
 B. V. Saunders  The application of numerical grid generation to problems in computational fluid dynamics
 D. Stephens and G. Howell  The elementary residual method
 M. Y. Stephens and Z. Liu  The response of the upper ocean to surface buoyancy forcing: A characteristic solution to wave propagation
 S. A. F. Stephens and V. Lakshmikantham  An overview of integrodifferential equations and variational Lyapunov method
Papers on philosophy of mathematics  J. P. King  The art of mathematics
 W. A. Massey  Mathematics is four dimensional
Tutorials  S. W. Williams  Compact! A tutorial
