Thomas Fuller (1710-1790) - Mathematics and the Liberal Arts

Thomas Fuller (1710-1790) - Mathematics and the Liberal Arts

To expand search, see African American Mathematics and The United States in the 1700s. Laterally related topic: Benjamin Banneker.

The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews, published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet.


Fauvel, John and Gerdes, Paulus. African slave and calculating prodigy: bicentenary of the death of Thomas Fuller. Historia Math. 17 (1990), no. 2, 141--151. SC: 01A70 (01A10), MR: 91h:01051.

Thomas Fuller, who showed remarkable ability in mental computation, was born in Africa and was sold as a slave when he was 14. It would be interesting to know more about where he came from and what the educational practices of the area he came from were. His abilities were not isolated, as there is for example evidence of highly developed ability in mental computation among the African slave traders of the era. The article is at least as much about the way Thomas Fuller's accomplishments were discussed and used by his contemporaries as about Fuller himself. The article includes the text of two sources contemporary with Fuller, one by Benjamin Rush (one of the signers of the Declaration of Independence). The authors also mention Francis Williams, who achieved some fame as a poet and a mathematician. Little is known about Williams' mathematics, but Gerdes does include a sample of Williams' verse (the sample is in Latin). Closely related topic: Mental Arithmetic.

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Gerdes, Paulus. On mathematics in the history of sub-Saharan Africa. Historia Math. 21 (1994), no. 3, 345--376. SC: 01A13, MR: 95f:01003.

This paper broadly surveys the recent research in sub-Saharan mathematics (and some related areas as well). Areas discussed include prehistoric mathematics (e.g., the Ishango and Border Cave bones), number systems and symbolism (including algorithms and education), games and puzzles (for example, a leopard-goat-cassava leaf river crossing problem and a "topological" puzzle), symmetry in African art, graphs or networks (e.g. Tschokwe sand drawings), architecture (one case involving magic squares; also a brief reference to fractals). Gerdes mentions string figures as a possibly productive future research area; he gives some starting points. He also discusses related areas, such as technology, and studies on language and mathematical concepts. A goal of the studies mentioned is apparently to better understand mathematics learning in Africa. Some studies focus on logic. Questions on interaction with ancient Egypt are still largely open. A better understanding of Islamic mathematics in sub-Saharan Africa is desirable as well. The author also touches on factors connected with the slave trade; e.g., the remarkable but not perhaps entirely atypical abilities of Thomas Fuller. Includes an extensive bibliography. Closely related topics: Sub-Saharan Africa, TallySystems, Games, Puzzles, Topology, Symmetry, Continuous Tracing Problems, Architecture, Magic Squares, Fractals in Art, String Figures, Ancient Egypt, The Reckoning of Time, Education, Mathematics in Language, Logic, and The Islamic World.

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