Jacopo da Firenze's Tractatus Algorismi and Early Italian Abbacus Culture
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The book deals with a Tractatus algorismi written in 1307 in Montpellier by a certain Jacopo da Firenze. This work is one of the earliest surviving ´abbacus´ treatises, that is, textbooks for the vernacular school for merchant youth which sprung up in Northern Italy in the later 13th century, and by far more orderly than any of the extant predecessors. It is also the first to contain a presentation of algebra. The book contains an edition and, The book deals with a Tractatus algorismi written in 1307 in Montpellier by a certain Jacopo da Firenze. This work is one of the earliest surviving ´abbacus´ treatises, that is, textbooks for the vernacular school for merchant youth which sprung up in Northern Italy in the later 13th century, and by far more orderly than any of the extant predecessors. It is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450 which is a meticulous copy of a meticulous © a critical edition of an abridged version of which two manuscripts exist, and an extensive discussion of the contents of the treatise and its location within early abbacus culture - including evidence that this culture was transnational and probably older in the Catalan-Provençal area than in Italy. TOC:Introduction.- The Vatican manuscript.- The abbaco tradition.- The contents of Jacopo´s Tractatus.- Algebra.- Jacopo´s material and influence.- Edition and translation.- The text.- Bibliography. PDF, 24.12.2007.

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The book deals with a Tractatus algorismi written in 1307 in Montpellier by a certain Jacopo da Firenze. This work is one of the earliest surviving ´abbacus´ treatises, that is, textbooks for the vernacular school for merchant youth which sprung up in Northern Italy in the later 13th century, and by far more orderly than any of the extant predecessors. It is also the first to contain a presentation of algebra. The book contains an edition and The book deals with a Tractatus algorismi written in 1307 in Montpellier by a certain Jacopo da Firenze. This work is one of the earliest surviving ´abbacus´ treatises, that is, textbooks for the vernacular school for merchant youth which sprung up in Northern Italy in the later 13th century, and by far more orderly than any of the extant predecessors. It is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450 which is a meticulous copy of a meticulous © a critical edition of an abridged version of which two manuscripts exist, and an extensive discussion of the contents of the treatise and its location within early abbacus culture - including evidence that this culture was transnational and probably older in the Catalan-Provençal area than in Italy. TOC:Introduction.- The Vatican manuscript.- The abbaco tradition.- The contents of Jacopo´s Tractatus.- Algebra.- Jacopo´s material and influence.- Edition and translation.- The text.- Bibliography. 24.12.2007, PDF.

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Jacopo da Firenze`s Tractatus Algorismi and Early Italian Abbacus Culture: The book deals with a Tractatus algorismi written in 1307 in Montpellier by a certain Jacopo da Firenze. This work is one of the earliest surviving &apos abbacus&apos treatises, that is, textbooks for the vernacular school for merchant youth which sprung up in Northern Italy in the later 13th century, and by far more orderly than any of the extant predecessors. It is also the first to contain a presentation of algebra. The book contains an edition and an English translation of a manuscript from c. 1450 which is a meticulous copy of a meticulous copy a critical edition of an abridged version of which two manuscripts exist, and an extensive discussion of the contents of the treatise and its location within early abbacus culture including evidence that this culture was transnational and probably older in the Catalan-Provençal area than in Italy. Englisch, Ebook.

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Erscheinungsdatum: 01/2008, Medium: Buch, Einband: Gebunden, Titel: Jacopo da Firenze. Tractatus algorismi, Autor: Høyrup, Jens, Verlag: Springer Basel AG // Springer Basel, Imprint: Birkhäuser, Sprache: Englisch, Schlagworte: Algebra // Mathematik // Geschichte // Philosophie // Geisteswissenschaften // Geschichte der Mathematik // Geschichte der Naturwissenschaften // Philosophie der Mathematik, Rubrik: Mathematik // Allgemeines, Lexika, Seiten: 482, Herkunft: SCHWEIZ (CH), Reihe: Science Networks. Historical Studies (Nr. 34), Gewicht: 969 gr, Verkäufer: averdo.

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In the city republics of Renaissance Italy, it was a common practice among the merchant class to send sons for a two-year course of study at an "abbacus school", where they learned practical, mostly commercial mathematics, known as abbaco. From this school institution, several hundred manuscripts survive, all in Italian, often containing not only what the masters needed in their teaching but also algebra or other advanced mathematical material. A signal feature of the book by Jens Høyrup is the first translation of one of these abbacus manuscripts into English. The abbacus books have long been supposed to be reduced versions of Leonardo Fibonacci’s Liber abbaci. Analysis of early abbacus books, not least of the first specimen treating of algebra – Jacopo da Firenze’s Tractatus algorismi from 1307 – shows instead that abbacus mathematics was an exponentof a more widespread culture of commercial mathematics, already known by Fibonacci, and probably flourishing in Provence and/or Catalonia before it reached Italy. Abbacus algebra – eventually the main inspiration for the algebraic breakthrough of the 16th and 17th centuries – was inspired from a Romance-speaking region outside Italy, most likely located in the Provençal-Catalan area, and ultimately from a similar practitioners’ level of Arabic mathematics. The book contains, along with the English translation, an edition of Jacopo’s Tractatus and a commentary analyzing Jacopo’s mathematics and its links to Provençal, Catalan, Arabic, Indian and Latin medieval mathematics. It will provide historians of mathematics and mathematics teachers with a new perspective on a period and on processes which eventually reshaped the whole mathematical enterprise in the 17th century. eBook.

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