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
5. The cultural context of Egyptian mathematics in the Old Kingdom
9. Mathematical texts (I): the mathematical training of scribes
10. Foundation of mathematics
11. Mathematics in practice and beyond
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
17. Mathematical texts (II): tradition, transmission, development
18. Conclusion: Egyptian mathematics in historical perspective
Egyptian words and phrases index
Index of mathematical texts.
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
Old kingdom : The cultural context of Egyptian mathematics in the old kingdom
Metrological systems : Length units ; Area units ; Capacity units ; Weights
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
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
