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Mathematics in ancient Egypt : a contextual history /
This book traces the development of Egyptian mathematics, from the end of the fourth millennium BC--and the earliest hints of writing and number notation--to the end of the pharaonic period in Greco-Roman times. The book surveys three thousand years of Egyptian history to present an integrated pictu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
[2016]
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Prehistoric and early dynastic period : The invention of writing and number notation
- The Egyptian number system
- Uses of numbers and their contexts in predynastic and early dynastic times
- Summary
- Old kingdom : The cultural context of Egyptian mathematics in the old kingdom
- Metrological systems : Length units ; Area units ; Capacity units ; Weights
- Notation of fractions
- Summary
- Middle kingdom : Mathematical texts (I): the mathematical training of scribes : Extant hieratic mathematical texts : Rhind mathematical papyrus ; Lahun mathematical fragments ; Papyrus Berlin 6619 ; Cairo wooden boards ; Mathematical leather roll ; Moscow mathematical papyrus. Teaching mathematics: mathematical procedure texts : The formal elements of a procedure text ; Collections of procedure texts. Types of mathematical problems
- Foundation of mathematics : Arithmetic techniques : Multiplication of integers ; Division of integers. Fraction reckoning : Multiplications and divisions involving fractions ; Using auxiliary numbers. Tables for fraction reckoning : 2 ÷ n table ; Mathematical leather roll. Metrological tables ; Summary
- Mathematics in practice and beyond : Distributions of rations : Ration problems within the mathematical texts ; Calculation of rations in Papyrus Berlin 10005 ; Further evidence. Architectural problems within the mathematical texts ; Mathematics of Papyrus Reisner I. Land measurement : Area calculations within the mathematical texts ; Evidence of land surveying. Summary
- New kingdom : New kingdom mathematical texts: Ostraca Senmut 153 and Turin 57170
- Two examples of administrative texts : Papyrus Harris I ; Papyrus Wilbour
- Mathematics in literature : Mathematical education ; Mathematics in the scribe’s daily work ; Mathematics in Papyrus Anastasi I : Digging a lake (Papyrus Anastasi I, 13,6-13,7) ; Constructing a brick ramp (Papyrus Anastasi I, 13,8-14,8) ; Transport of an obelisk (Papyrus Anastasi I, 14,8-16,5) ; Erection of a colossal monument (Papyrus Anastasi I, 16,8-17,2) ; Rations for an expedition (Papyrus Anastasi I, 17,2-18,2)
- 15. Further aspects of mathematics from new kingdom sources : Mathematics and wisdom literature: metrology in the Teaching of Amenemope ; Mathematics in the Duties of the Vizier ; Mathematics and death ; Mathematics in architecture and art
- Summary
- Greco-Roman periods : Mathematical texts (II): tradition, transmission, development : Overview of extant demotic mathematical papyri : Papyrus Cairo JE 89127-30, 89137-43 ; Papyrus BM 10399 ; Papyrus BM 10520 ; Papyrus BM 10794 ; Papyrus Carlsberg 30 ; Papyrus Griffith I E7 ; Papyrus Heidelberg 663.Demotic arithmetic : Multiplication ; Division (and a note on types of fractions).Selected examples of demotic mathematical problems : Calculation of areas ; The pole-against-the-wall problems
- Conclusion: Egyptian mathematics in historical perspective