England in the 1400s - Mathematics and the Liberal Arts

England in the 1400s - Mathematics and the Liberal Arts

To expand search, see The 1400s and England. Laterally related topics: Italy in the 1400s, England in the 1600s, England in the Middle Ages, and England in the 1900s.

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.


Sleight, E. R. The Art of Nombryng. Mathematics Teacher 35 (1942), 112--16.

The Art of Nombryng is from England in the 1400s, and is a translation of de Arte Numerandi, which was in turn written in the 1200s and is attributed to Sacrobosco. It explains how to do the basic operations of arithmetic, including mediation and duplication, and going as far as the extraction of square and cube roots. Reprinted in Swetz, Frank J., From Five Fingers to Infinity. Closely related topics: Arithmetic and Sacrobosco (John of Holywood).

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Sleight, E. R. The Craft of Nombrynge. Mathematics Teacher 32 (1939), 243--48.

As we are told, The Craft of Nombrynge is based on the Canto de Algorismo by Alexander de Villa Dei (1220). It explains how to add, subtract, double, and divide by two, but does not discuss general division or the extraction of roots. (The method of multiplication is essentially the galley method.) Topics are introduced from the Latin Canto, and the remaining text is given in English. Arithmetic (algorism) is attributed to a supposed King Algor of India. Reprinted in Swetz, Frank J., From Five Fingers to Infinity. Closely related topics: Arithmetic, The Extraction of Roots, and Alexander de Villa Dei.

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