Cultures of computation and quantification in the Ancient World: numbers, measurements, and operations in documents from Mesopotamia, China and South Asia
This 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 operation...
Gespeichert in:
| Weitere Verfasser: | , , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer Nature Switzerland AG
2024
|
| Ausgabe: | 1st ed. 2022 |
| Schriftenreihe: | Why the sciences of the Ancient World matter
volume 6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | This 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 |
| Beschreibung: | Chapter 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 |
| Beschreibung: | 765 Seiten |
| ISBN: | 9783030983635 3030983633 |
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| 500 | |a Chapter 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 | ||
| 520 | 3 | |a This 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 | |
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Datensatz im Suchindex
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Contents 1 Cultures of Computation and Quantification in the Ancient World: An Introduction. Karine Chemla Part I 1 Shaping Quantities and Relating them to Numbers 2 Carrying Bricks and Bundling Reed in Theory and Practice. Wolfgang Heimpel 3 Measuring Grain in Early Bronze Age Mesopotamia: Form, Use, and Control of the Bariga Container in the Twenty-First Century BCE . Walther Sallaberger 4 Volume, Brickage and Capacity in Old Babylonian Mathematical Texts from Southern Mesopotamia . Christine Proust Part II 5 6 7 171 197 Interpreting Numbers and Quantities in Texts Place-Value Notations in the Ur III Period: Marginal Numbers in Administrative Texts . Xiaoli Ouyang and Christine Proust 267 The Nazbalum in Old Babylonian Mesopotamia: An Absolute Number or an Administrative Tool?. Robert Middeke-Conlin 357 Part III 143 Working with Operations and Algorithms Computing Tools and Representations of Arithmetic . Baptiste Mêlés 401 ix
Contents X 8 9 Working on and with Division in Early China, Third Century BCE—Seventh Century CE . Karine ЙШ Chemla # 433 Multiplying Integers: On the Diverse Practices of Medieval Sanskrit Authors . Agathe Keller and Catherine Morice-Singh 495 Part IV Different Cultures of Computation and Quantification 10 Another Culture of Computation from Seventh-Century China . Yiwen Zhu 11 The Characteristics of Mathematical Methods in the Wu Cao Suanjing and Its Social Background. Dahai Zou and Wei Chen 12 13 Weighing Units and Weights in the Context of Trade Between Upper Mesopotamia and Anatolia (Nineteenth and Eighteenth Centuries BCE) . Cécile Michel Quantification and Computation in the Mathematical Texts of Old Babylonian Diyala . Carlos Gonçalves 555 603 647 691 Annex A: Conventions . 731 Annex B: Maps. 743 Index. 745 |
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| series | Why the sciences of the Ancient World matter |
| series2 | Why the sciences of the Ancient World matter |
| spelling | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia Karine Chemla, Agathe Keller, Christine Proust Cham Springer Nature Switzerland AG 2024 765 Seiten txt rdacontent n rdamedia nc rdacarrier Why the sciences of the Ancient World matter volume 6 Chapter 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 This 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 Geschichtswissenschaft (DE-588)4020535-6 gnd rswk-swf Wissenschaftstheorie (DE-588)4117665-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Asian history Asiatische Geschichte Geschichte der Mathematik Geschichte der Naturwissenschaften HISTORY / Asia / General HISTORY / Asia / India & South Asia History of mathematics History of science MATHEMATICS / History & Philosophy PHILOSOPHY / Epistemology Philosophie: Epistemologie und Erkenntnistheorie Philosophy: epistemology & theory of knowledge SCIENCE / History Alte Welt Ancient World China Indian sub-continent Indischer Subkontinent Wissenschaftstheorie (DE-588)4117665-0 s Mathematik (DE-588)4037944-9 s Geschichtswissenschaft (DE-588)4020535-6 s DE-604 Chemla, Karine 1957- (DE-588)1025805119 edt Keller, Agathe 1969- (DE-588)107902117 edt Proust, Christine (DE-588)137021801 edt Why the sciences of the Ancient World matter volume 6 (DE-604)BV045136452 6 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035239088&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia Geschichtswissenschaft (DE-588)4020535-6 gnd Wissenschaftstheorie (DE-588)4117665-0 gnd Mathematik (DE-588)4037944-9 gnd Why the sciences of the Ancient World matter |
| subject_GND | (DE-588)4020535-6 (DE-588)4117665-0 (DE-588)4037944-9 |
| title | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia |
| title_auth | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia |
| title_exact_search | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia |
| title_full | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia Karine Chemla, Agathe Keller, Christine Proust |
| title_fullStr | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia Karine Chemla, Agathe Keller, Christine Proust |
| title_full_unstemmed | Cultures of computation and quantification in the Ancient World numbers, measurements, and operations in documents from Mesopotamia, China and South Asia Karine Chemla, Agathe Keller, Christine Proust |
| title_short | Cultures of computation and quantification in the Ancient World |
| title_sort | cultures of computation and quantification in the ancient world numbers measurements and operations in documents from mesopotamia china and south asia |
| title_sub | numbers, measurements, and operations in documents from Mesopotamia, China and South Asia |
| topic | Geschichtswissenschaft (DE-588)4020535-6 gnd Wissenschaftstheorie (DE-588)4117665-0 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Geschichtswissenschaft Wissenschaftstheorie Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035239088&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV045136452 |
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