Journal Article•
Maestri e scuole d'abaco a firenze: La Bottega di Santa Trinita
About: This article is published in Bollettino Di Storia Delle Scienze Matematiche.The article was published on 2004-01-01 and is currently open access. It has received 7 citations till now.
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12 Feb 2020
TL;DR: In this paper, the authors investigate the genesis and growth of a historical canard that can be encountered in numerous popular as well as some scholarly publications devoted to the history of the world.
Abstract: The purpose of this article is to investigate the genesis and growth of a historical canard that can be encountered in numerous popular as well as some scholarly publications devoted to the history...
10 citations
TL;DR: In this paper, the authors report on the most significant examples and draw out interesting cues for thoughts and remarks of a scientific, historical and biographical nature of the abacus schools.
Abstract: The mathematical scenario in Italy during the Late Middle Ages and the Renaissance is mainly dominated by the treatises on the abacus, which developed together with the abacus schools. In that context, between approximately the last thirty years of the fourteenth century and the first twenty years of the sixteenth century, the manuscript and printed tradition tell us of queries and challenges, barely known or totally unknown, in which the protagonists were abacus masters. We report in this work on the most significant examples and draw out interesting cues for thoughts and remarks of a scientific, historical and biographical nature. Five treatises, written in the fifteenth and sixteenth century, have been the main source of inspiration for this article: the Trattato di praticha d’arismetricha and the Tractato di praticha di geometria included in the codices Palat. 573 and Palat. 577 (c. 1460) kept in the Biblioteca Nazionale of Florence and written by an anonymous Florentine disciple of the abacist Domenico di Agostino Vaiaio; another Trattato di praticha d’arismetrica written by Benedetto di Antonio da Firenze in 1463 and included in the codex L.IV.21 kept in the Biblioteca Comunale of Siena; the Tractatus mathematicus ad discipulos perusinos written by Luca Pacioli between 1477 and 1480, manuscript Vat. Lat. 3129 of the Biblioteca Apostolica Vaticana; and Francesco Galigai’s Summa de arithmetica, published in Florence in 1521.
9 citations
01 Dec 2014
TL;DR: Fibonacci during his boyhood went to Bejaia, learned about the Hindu-Arabic numerals there, and continued to collect information about their use during travels to the Arabic world.
Abstract: Fibonacci during his boyhood went to Bejaia, learned about the Hindu-Arabic numerals there, and continued to collect information about their use during travels to the Arabic world. He then wrote the Liber abbaci, which with half a century’s delay inspired the creation of Italian abbacus mathematics, later adopted in Catalonia, Provence, Germany etc. This piece of conventional wisdom is well known ‐ too well known to be true, indeed. There is no doubt, of course, that Fibonacci learned about Arabic (and Byzantine) commercial arithmetic, and that he presented it in his book. He is thus a witness (with a degree of reliability which has to be determined) of the commercial mathematics thriving in the commercially developed parts of theMediterranean world. However, muchevidence ‐ presented both in his own book, in later Italian abbacus books and in similar writings from the Iberian and the Provencal regions ‐ shows that the Liber abbaci did not play a central role in the later adoption. Romance abbacus culture came about in a broad process of interaction with Arabic non-scholarly traditions, interaction atfirst apparently concentrated in the Iberian region.
8 citations
Cites background from "Maestri e scuole d'abaco a firenze:..."
...ULIVI 2004 ELISABETTA ULIVI: “Maestri e scuole d’abaco a Firenze....
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...The elementary level corresponds to the curriculum of the abbacus school as we know it from two documents.9 Here we find the rule of three; metrological 2 ULIVI 2004, p. 43....
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01 Jan 2008
6 citations
Journal Article•
TL;DR: In particular, the authors examined the conocimiento contabilidad of the abaco in the context of the epocaine medieval and the primeros siglos of Renacimienta.
Abstract: Este articulo indaga sobre los origenes de la contabilidad con el objetivo de analizar el comportamiento economico. En particular, se examinan los primeros lugares especifica-mente dispuestos y organizados para la ensenanza del conocimiento contable asi como los medios de estudio para su transmision: las escuelas y los libros de abaco. Ampliamente extendidos en Italia entre los siglos XIII y XVI tenian la finalidad de transmitir, por un lado, el conocimiento generalmente difundido como matematica practica y, por otro, las tecnicas para realizar operaciones aritmeticas y las reglas practicas para la resolucion de problemas comerciales y financieros. El objetivo de esta investigacion es profundizar en el estudio de las escuelas y de los libros de abaco evidenciando el papel desempenado en el origen de la contabilidad y en el desarrollo economico y social en la epoca medieval y los primeros siglos del Renacimiento.
Con este fin, el estudio se basa en algunas evidencias sobre la evolucion de los estudios y las escuelas de abaco en Arezzo (Toscana, Italia) entre los siglos XIII y XVI. Combinando evidencias similares con el analisis teorico el estudio revela la contribucion de la tradicion del abaco en el mejor desarrollo de la vida publica en epoca medieval y renacentista. La constatacion de esta contribucion ha sido la base del creciente interes mostrado hacia la cultura del abaco por las autoridades locales de la epoca
2 citations