
Mathematics in Ancient Iraq
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The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
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Content
- Cover Page
- Half-title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- List of Figures
- List of Tables
- Preface
- Acknowledgments
- Chapter One: Scope, Methods, Sources
- 1.1 The Subject: Ancient Iraq and Its Mathematics
- 1.2 The Artefacts: Assyriological and Mathematical Analysis
- 1.3 The Contexts: Textuality, Materiality, and Social History
- Chapter Two: Before the Mid-Third Millennium
- 2.1 Background and Evidence
- 2.2 Quantitative Management and Emerging Statehood
- 2.3 Enumeration and Abstraction
- 2.4 Symmetry, Geometry, and Visual Culture
- 2.5 Conclusions
- Chapter Three: The Later Third Millennium
- 3.1 Background and Evidence
- 3.2 Maps, Plans, and Itineraries: Visual and Textual Representations of Spatial Relationships
- 3.3 Accounting for Time and Labour: Approximation, Standardisation, Prediction
- 3.4 The Development of the Sexagesimal Place Value System (SPVS)
- 3.5 Conclusions
- Chapter Four The Early Second Millennium
- 4.1 Background and Evidence
- 4.2 Metrology, Multiplication, Memorisation: Elementary Mathematics Education
- 4.3 Words and Pictures, Reciprocals and Squares
- 4.4 Measurement, Justice, and the Ideology of Kingship
- 4.5 Conclusions
- Chapter Five: Assyria
- 5.1 Background and Evidence
- 5.2 Palatial and Mercantile Numeracy in Early Assyria
- 5.3 Counting Heads, Marking Time: Quantifi cations in Royal Inscriptions and Records
- 5.4 Arû: Number Manipulation in Neo-Assyrian Scholarship
- 5.5 Conclusions
- Chapter Six: The Later Second Millennium
- 6.1 Background and Evidence
- 6.2 Tabular Accounting in Southern Babylonia
- 6.3 Land Surveyors and Their Records in Northern Babylonia
- 6.4 Quantifi cation as Literary Device in the Epic of Gilgames
- 6.5 Conclusions
- Chapter Seven: The Early First Millennium
- 7.1 Background and Evidence
- 7.2 Libraries and Schools: The Formalisation of the First-Millennium Scribal Curriculum
- 7.3 Home Economics: Numeracy in a Mid-First-Millennium Urban Household
- 7.4 Measuring Houses, Maintaining Professionalism
- 7.5 Conclusions
- Chapter Eight: The Later First Millennium
- 8.1 Background and Evidence
- 8.2 Babylon: Mathematics in the Service of Astronomy?
- 8.3 Achaemenid Uruk: The Sangû-Ninurta and Ekur-zakir Families
- 8.4 Seleucid Uruk: The ?unzû and Sîn-leqi-unninni Families
- 8.5 Conclusions
- Chapter Nine: Epilogue
- 9.1 The Big Picture: Three Millennia of Mathematics in Ancient Iraq
- 9.2 Ancient Mathematics in the Modern World
- 9.3 Inside Ancient Mathematics: Translation, Representation, Interpretation
- 9.4 The Worlds of Ancient Mathematics: History, Society, Community
- 9.5 Conclusions
- Appendix A: Metrological Systems
- Appendix B: Published Mathematical Tablets
- Notes
- Bibliography
- Index of Tablets
- Subject Index
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