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Numerals and Arithmetic in the Middle Ages [Hardback]

  • Formāts: Hardback, 382 pages, height x width: 224x150 mm, weight: 870 g
  • Sērija : Variorum Collected Studies
  • Izdošanas datums: 28-Dec-2010
  • Izdevniecība: Routledge
  • ISBN-10: 1409403688
  • ISBN-13: 9781409403685
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  • Cena: 197,77 €
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  • Formāts: Hardback, 382 pages, height x width: 224x150 mm, weight: 870 g
  • Sērija : Variorum Collected Studies
  • Izdošanas datums: 28-Dec-2010
  • Izdevniecība: Routledge
  • ISBN-10: 1409403688
  • ISBN-13: 9781409403685
Citas grāmatas par šo tēmu:
This volume, the third by Charles Burnett in the Variorum series, brings together articles on the different numeral forms used in the Middle Ages, and their use in mathematical and other contexts. Some pieces study the introduction of Hindu-Arabic numerals into Western Europe, documenting, in more detail than anywhere else, the different forms in which they are found, before they acquired the standard shapes with which we are familiar today. Others deal with experiments with other forms of numeration within Latin script: e.g., using the first nine Roman numerals as symbols with place value, abbreviating the Roman numerals, and using the Latin letters as numerals. The author discusses how different types of numerals are used for different purposes, and the application of numerals to the abacus, and to calculation with pen and ink. The studies include the critical edition of several Latin texts.

Recenzijas

'The research represented by these papers is meticulous and insightful; the book should be a first point of contact for any scholar interested in the introduction of Hindu-Arabic numerals to medieval Europe. It does not provide a comprehensive narrative, but that is not the point of a Variorum volume. Rather, it gathers the scholarship together, making it more accessible than it would have been otherwise. That is a contribution for which we should be grateful.' Mathematical Reviews '... this collection of articles is immensely rich in insights... The book can be recommended to anybody working on matters which it deals with...' Aestimatio '... a wealth of information, enriched with bibliography, diagrams, a huge number of photographs of manuscript folia and relevant footnotes, as well as useful indexes on names, manuscripts and mathematical terms. The work bears witness to Burnett's mastery of manuscripts, the Latin Language and palaeography, and of the historical scientific medieval context... an impressive and exhaustive treatment of the subject from many different perspectives, which makes this volume a rigorous and invaluable instrument for scholars dealing with medieval scientific manuscripts.' Suhayl

Preface vii
Acknowledgements ix
I The abacus at Echternach in ca. 1000 A.D.
91(38)
II Abbon de Fleury, abaci doctor
129(92)
III Algorismi vel helcep decentior est diligentia: the arithmetic of Adelard of Bath and his circle
221
IV Ten or forty? A confusing numerical symbol in the Middle Ages
81(156)
V Indian numerals in the Mediterranean Basin in the twelfth century, with special reference to the `Eastern forms'
237
VI The use of Arabic numerals among the three language cultures of Norman Sicily
39(158)
VII Why we read Arabic numerals backward
197
VIII The Toledan regule (Liber Alchorismi, part II): a twelfth-century arithmetical miscellany (with Ji-Wei Zhao and Kurt Lampe)
141
IX Learning Indian arithmetic in the early thirteenth century
15(61)
X Latin alphanumerical notation, and annotation in Italian, in the twelfth century: MS London, British Library, Harley 5402
76(11)
XI Fibonacci's `method of the Indians'
87
Addenda and corrigenda 1(1)
Index nominum 1(1)
Index manuscriptorum 1(1)
Index terminorum mathematicorum 1
Charles Burnett is Professor of the History of Islamic Influences in Europe at the Warburg Institute, University of London, UK