**DIMACS - Series in Discrete Mathematics and Theoretical Computer Science**

Volume: 34;
1997;
205 pp;
Hardcover

MSC: Primary 00; 01;

**Print ISBN: 978-0-8218-0678-4
Product Code: DIMACS/34**

List Price: $64.00

AMS Member Price: $51.20

MAA Member Price: $57.60

**Electronic ISBN: 978-1-4704-3992-7
Product Code: DIMACS/34.E**

List Price: $60.00

AMS Member Price: $48.00

MAA Member Price: $54.00

# African Americans in Mathematics

Share this page *Edited by *
*Nathaniel Dean*

A co-publication of the AMS and DIMACS

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.

Features:

- Research articles by distinguished African-American mathematicians.
- Accomplishments of African-American researchers in the mathematical sciences.
- Articles that explore issues important to the African-American community and to the mathematics community as a whole.
- Inspiration for African-American students who wish to pursue advancement in the mathematical sciences.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).

#### Readership

Graduate students, historians, sociologists, mathematical policymakers, and research mathematicians.

#### Reviews & Endorsements

Near the beginning of this decade William Massey of Bell Laboratories (then AT&T, now Lucent Technologies) had an idea for an organization devoted mainly to addressing critical issues involving African-American researchers and graduate students in the mathematical sciences. This organization became known as the Conference for African-American Researchers in the Mathematical Sciences (CAARMS). The book under review here contains some of the invited papers and poster presentations given at CAARMS2, and other papers pertaining to objectives and purposes of CAARMS. Overall, the editor has succeeded in organizing the content of the volume to reflect faithfully the objectives of CAARMS. There is something for nearly everyone, especially those persons interested in making mathematics participation more inclusive.

-- MAA Online

# Table of Contents

## African Americans in Mathematics

- Cover Cover11
- Frontispiece ii3
- Shadow photo iii4
- Title page v6
- Contents vii8
- Foreword ix10
- Preface xi12
- Part I. Invited research talks. 114
- Chain decomposition theorems for ordered sets and other musings 316
- Unimodality and the independent set numbers of matroids 1528
- On achieving channels in a bipolar game 2336
- Discrete approximation of invariant measures for multidimensional maps 2942
- Some numerical methods for a maximum entropy problem 4760
- Hydrodynamic stability, differential operators and spectral theory 5770
- The role of Selberg’s trace formula in the computation of Casimir energy for certain Clifford-Klein space-times 6982
- Some dynamics on the irrationals 8396
- Part II. Poster presentations. 105118
- Finding elliptic curves defined over 𝑄 of high rank 107120
- Symplectic matrix structure in numerical integration 111124
- A numerical algorithm for the computation of invariant circles 117130
- Classification of nilpotent orbits in symmetric spaces 123136
- Evaluation texture measures for low-level features in color images of human skin 129142
- Lattice paths and RNA secondary structures 137150
- Nuprl as a concurrent interactive theorem prover 149162
- Part III. Historical articles. 155168
- Yesterday, today and tomorrow 157170
- The challenge of diversity 169182
- What next? A meta-history of black mathematicians 183196
- A personal history of the origins of the National Association of Mathematicians’ "Presentations by Recipients of Recent Ph.D.’s" 187200
- Dr. J. Ernest Wilkins, Jr.: The man and his works 195208
- Back Cover Back Cover1221