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001 978-3-031-25164-1
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020 _a9783031251641
_9978-3-031-25164-1
024 7 _a10.1007/978-3-031-25164-1
_2doi
050 4 _aQ124.6-127.2
072 7 _aPDX
_2bicssc
072 7 _aSCI034000
_2bisacsh
072 7 _aPDX
_2thema
100 1 _aHøyrup, Jens.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_973952
245 1 4 _aThe World of the Abbaco
_h[electronic resource] :
_bAbbacus Mathematics Analyzed and Situated Historically Between Fibonacci and Stifel /
_cby Jens Høyrup.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2024.
300 _aXI, 500 p. 93 illus., 30 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFrontiers in the History of Science,
_x2662-2572
505 0 _aPreface -- Contents -- Introduction- The home of abbacus mathematics: the abbacus school -- An example: Jacopo da Firenze's Tractatus algorismi, the short version -- Fibonacci and the Fibonacci story- The real story in select detail -- Abbacus goes into print and abroad318 -- A double conclusion -- Sigla -- Bibliography- Name, subject and source index.
520 _aThe abbacus was a thorough and complete system of arithmetical calculations, which saw its dawn in the Indian and Arabic tradition of the Middle Ages, but which was developed in its fully fledged aspects especially in Italy, between Genoa, Milan, Venice and the region of Umbria. In this monograph, Høyrup explores how the abbacus tradition has developed in Europe, with a focus on Italy and Germany between the 14th and the 17th Century. With the analysis of texts from Fibonacci, Pacioli, and Stifel to name but a few, this book offers a critical historical analysis of the development and diffusion of a tradition of calculus that has deeply influenced the way in which mathematics has developed in the West. The primary purpose of the book is to present a fairly detailed portrait of the abbacus tradition as it developed historically; as will be argued, Fibonacci was much less important for the emergence of this tradition than mostly assumed – but since his importance is broadly taken for granted, that argument needs to be made, for which reason Fibonacci’s Liber Abbaci is also described and analyzed in some depth. A secondary purpose is to show how the adoption of abbacus mathematics in German lands gave rise to the creation of a different tradition. The end of the book investigates the interplay of abbacus algebra with other intellectual currents which turned the whole mathematical undertaking upside-down in the 17th Century.
650 0 _aScience
_xHistory.
_965232
650 0 _aMathematics.
_965523
650 1 4 _aHistory of Science.
_966101
650 2 4 _aMathematics.
_965523
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031251634
776 0 8 _iPrinted edition:
_z9783031251658
830 0 _aFrontiers in the History of Science,
_x2662-2572
_973953
856 4 0 _uhttps://doi.org/10.1007/978-3-031-25164-1
912 _aZDB-2-HTY
912 _aZDB-2-SXH
999 _c58642
_d58642