- Title Pages
- Preface
- Introduction
- Prehistoric and Early Dynastic Period
- 1. The Invention of Writing and Number Notation
- 2. The Egyptian Number System
- 3. Uses of Numbers and Their Contexts in Predynastic and Early Dynastic Times
- 4. Summary
- Old Kingdom
- 5. The Cultural Context of Egyptian Mathematics in the Old Kingdom
- 6. Metrological Systems
- 7. Notation of Fractions
- 8. Summary
- Middle Kingdom
- 9. Mathematical Texts (I): The Mathematical Training of Scribes
- 10. Foundation of Mathematics
- 11. Mathematics in Practice and Beyond
- New Kingdom
- 12. New Kingdom Mathematical Texts: Ostraca Senmut 153 and Turin 57170
- 13. Two Examples of Administrative Texts
- 14. Mathematics in Literature
- 15. Further Aspects of Mathematics from New Kingdom Sources
- 16. Summary
- Greco-Roman Periods
- 17. Mathematical Texts (II): Tradition, Transmission, Development
- 18. Conclusion: Egyptian Mathematics in Historical Perspective
- Bibliography
- Subject Index
- Egyptian Words and Phrases Index
- Index of Mathematical Texts

# New Kingdom Mathematical Texts: Ostraca Senmut 153 and Turin 57170

# New Kingdom Mathematical Texts: Ostraca Senmut 153 and Turin 57170

- Chapter:
- (p.131) 12. New Kingdom Mathematical Texts: Ostraca Senmut 153 and Turin 57170
- Source:
- Mathematics in Ancient Egypt
- Author(s):
### Annette Imhausen

- Publisher:
- Princeton University Press

This chapter considers mathematical texts from the New Kingdom. Almost no mathematical texts from the New Kingdom are extant. So far, only two fragmentary ostraca have been published: Senmut 153 and Turin 57170. The Senmut Ostracon comprises an incomplete (possible) title, followed by six lines of computation. The individual steps of the calculation are achieved with the aid of auxiliary numbers. The initial doubling may have been aided by the use of the 2 ÷ n table and the auxiliary number then introduced at a later stage. The ostracon, today kept in Turin, contains only a few (and incomplete) lines of text that seem to indicate solutions.

*Keywords:*
mathematical texts, ostraca, Senmut 153, Turin 57170, ancient Egypt, Egyptian mathematics

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- Title Pages
- Preface
- Introduction
- Prehistoric and Early Dynastic Period
- 1. The Invention of Writing and Number Notation
- 2. The Egyptian Number System
- 3. Uses of Numbers and Their Contexts in Predynastic and Early Dynastic Times
- 4. Summary
- Old Kingdom
- 5. The Cultural Context of Egyptian Mathematics in the Old Kingdom
- 6. Metrological Systems
- 7. Notation of Fractions
- 8. Summary
- Middle Kingdom
- 9. Mathematical Texts (I): The Mathematical Training of Scribes
- 10. Foundation of Mathematics
- 11. Mathematics in Practice and Beyond
- New Kingdom
- 12. New Kingdom Mathematical Texts: Ostraca Senmut 153 and Turin 57170
- 13. Two Examples of Administrative Texts
- 14. Mathematics in Literature
- 15. Further Aspects of Mathematics from New Kingdom Sources
- 16. Summary
- Greco-Roman Periods
- 17. Mathematical Texts (II): Tradition, Transmission, Development
- 18. Conclusion: Egyptian Mathematics in Historical Perspective
- Bibliography
- Subject Index
- Egyptian Words and Phrases Index
- Index of Mathematical Texts