This volume contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitative and quantitative nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remained unanswered. This volume provides details and pointers to help answer some of these questions. This title features: research articles by distinguished African-American mathematicians; accomplishments of African-American researchers in the mathematical sciences; and, articles that explore issues important to the African-American community and to the mathematics community as a whole. This book is an inspiration for African-American students who wish to pursue advancement in the mathematical sciences.
Part I. Invited Research Talks: Chain decomposition theorems for ordered sets and other musings by J. D. Farley Unimodality and the independent set numbers of matroids by C. R. Mahoney On achieving channels in a bipolar game by C. Clark Discrete approximation of invariant measures for multidimensional maps by W. M. Miller Some numerical methods for a maximum entropy problem by N. Whitaker Hydrodynamic stability, differential operators and spectral theory by I. H. Herron The role of Selberg's trace formula in the computation of Casimir energy for certain Clifford-Klein space-times by F. L. Williams Some dynamics on the irrationals by S. W. Williams Part II. Poster Presentations: Finding elliptic curves defined over $Q$ of high rank by G. Campbell Symplectic matrix structure in numerical integration by M. Keeve A numerical algorithm for the computation of invariant circles by K. Edoh Classification of nilpotent orbits in symmetric spaces by A. G. Noel Evaluating texture measures for low-level features in color images of human skin by K. E. Needham Lattice paths and RNA secondary structures by A. Nkwanta Nuprl as a concurrent interactive theorem prover by R. Moten Part III. Historical Articles: Yesterday, today and tomorrow by L. Lorch The challenge of diversity by E. Z. Falconer What next? A meta-history of black mathematicians by P. C. Kenschaft A personal history of the origins of the National Association of Mathematicians' "Presentations by Recipients of Recent Ph.D.'s" by D. M. Hill Dr. J. Ernest Wilkins, Jr.: The man and his works by N. Agwu and A. Nkwanta.