LEADER 05141nam 2200493 450 001 9910639881703321 005 20230504075959.0 010 $a3-030-98361-7 024 7 $a10.1007/978-3-030-98361-1 035 $a(MiAaPQ)EBC7167843 035 $a(Au-PeEL)EBL7167843 035 $a(CKB)25936434400041 035 $a(DE-He213)978-3-030-98361-1 035 $a(EXLCZ)9925936434400041 100 $a20230504d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aCultures of computation and quantification in the ancient world $enumbers, measurements, and operations in documents from Mesopotamia, China and South Asia /$fedited Karine Chemla, Agathe Keller, and Christine Proust 205 $a1st ed. 2022. 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (764 pages) 225 1 $aWhy the Sciences of the Ancient World Matter,$x2662-9941 ;$v6 311 08$aPrint version: Chemla, Karine Cultures of Computation and Quantification in the Ancient World Cham : Springer International Publishing AG,c2023 9783030983604 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Cultures of computation and quantification in the ancient world: An introduction (Karine Chemla, in dialogue with Agathe Keller and Christine Proust) -- Part 1: Shaping quantities and relating them to numbers -- Chapter 2. Carrying bricks and bundling reed in theory and practice (Wolfgang Heimpel) -- Chapter 3. Measuring grain in early Bronze Age Mesopotamia: Form, use, and control of the bariga container in the Twenty-First Century BCE (Walther Sallaberger) -- Chapter 4. Volume, brickage and capacity in old Babylonian mathematical texts from Southern Mesopotamia (Christine Proust) -- Part 2: Interpreting numbers and quantities in texts -- Place value notations in the Ur III period: Marginal numbers in administrative texts (Ouyang Xiaoli and Christine Proust) -- Chapter 6. The Nazbalum in old Babylonian Mesopotamia (Robert Middeke-Conlin) -- Part 3. Working with operations and algorithms -- Chapter 7. Computing tools and representations of arithmetic (Baptiste Mélès) -- Chapter 8. Working on and with division in early China, Third Century BCE?Seventh Century CE (Karine Chemla) -- Chapter 9. Multiplying integers: On the diverse practices of medieval Sanskrit authors (Agathe Keller and Catherine Morice-Singh) -- Part 4. Different cultures of computation and quantification -- Chapter 10. Another culture of computation from 7th century China (Zhu Yiwen) -- Chapter 11. The characteristics of mathematical methods in the Wu Cao Suanjing and its social background (Zou Dahai and Chen Wei) -- Chapter 12. Weighing units and weights in the context of trade between upper Mesopotamia and Anatolia (Nineteenth and Eighteenth Centuries BCE) (Cécile Michel) -- Chapter 13. Quantification and computation in the mathematical texts of old Babylonian Diyala (Carlos Gonçalves) -- Index. . 330 $aThis book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within ?civilizational? blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds. 410 0$aWhy the Sciences of the Ancient World Matter,$x2662-9941 ;$v6 606 $aMathematics 615 0$aMathematics. 676 $a780 702 $aChemla$b Karine 702 $aKeller$b Agathe 702 $aProust$b Christine 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910639881703321 996 $aCultures of computation and quantification in the ancient world$93362970 997 $aUNINA