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035 (MiAaPQ)EBC296272
035 (Au-PeEL)EBL296272
035 (CaPaEBR)ebr10173918
035 (CaONFJC)MIL188128
035 (OCoLC)476064719
040 MiAaPQ|beng|erda|epn|cMiAaPQ|dMiAaPQ
050 4 QA22.F75 2005
082 0 510.93
100 1 Friberg, Joran
245 10 Unexpected Links Between Egyptian And Babylonian
Mathematics
264 1 Singapore :|bWorld Scientific Publishing Company,|c2005
264 4 |c©2005
300 1 online resource (308 pages)
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
505 0 Intro -- Preface -- Contents -- Chapter 1 Two Curious
Mathematical Cuneiform Texts from Old Babylonian Mari --
1.1. M. 7857. A Fanciful Interpretation of a Geometric
Progression -- 1.1 a. M. 7857. A text with three kinds of
counting numbers -- 1.1 b. OB texts with ascending or
descending geometric progressions -- 1.1 c. A Late
Babylonian text using the trailing part algorithm -- 1.1
d. The sum of a geometric progression in an Old Babylonian
text -- 1.1 e. The sum of a geometric progression in a
Seleucid text -- 1.1 f. P.Rhind # 79: a parallel to M.
7857 in a hieratic papyrus -- 1.1 g. Summary. The
Mesopotamian roots of a Mother Goose riddle -- 1.1. M.
8631. Another Curious Mathematical Text from OB Mari --
1.1 a. M. 8631. A fanciful interpretation of 30 doublings
-- 1.2 b. The Old Babylonian doubling and halving
algorithm -- 1.2 c. P.IFAO 88: A parallel to M. 8631 in a
Greek-Egyptian papyrus -- 1.2 d. Summary. The Mesopotamian
roots of a well known legend -- Chapter 2 Hieratic
Mathematical Papyri and Cuneiform Mathematical Texts --
2.1. Themes in P.Rhind, a Hieratic Mathematical Papyrus
Roll -- 2.1 a. P.Rhind, a hieratic mathematical
recombination text -- 2.1 b. Theme E: division problems
(P.Rhind ## 24-38) -- 2.1 c. Theme F: sharing problems
(P.Rhind ## 39-40, 63-65, 68) -- 2.1 d. Theme G: geometry
problems (P.Rhind ## 41-46, 48-60) -- 2.1 e. Theme H:
baking or brewing numbers (P.Rhind ## 69-78) -- 2.1 f.
Theme I: a combined price problem (P.Rhind # 62) -- 2.2.
Themes in P.Moscow, a Smaller Hieratic Mathematical
Papyrus -- 2.2 a. P.Moscow: Another Egyptian mathematical
recombination text -- 2.2 b. P.Moscow # 23: A combined
work norm -- 2.2 c. P.Moscow ## 6-7, 17: Metric algebra --
2.2 d. P.Moscow # 14: The volume of a truncated pyramid --
2.2 e. P.Moscow # 10: The area of a semicircle(?) -- 2.3.
Hieratic Mathematical Papyrus Fragments
505 8 2.3 a. P.Berlin 6619 # 1: Metric algebra -- 2.3 b. P.UC
32160 (= Kahun IV.3) # 1: A cylindrical granary -- 2.3 c.
P.UC 32160 # 2: An arithmetic progression with 10 terms --
2.3 d. P.UC 32161 (= Kahun XLV. 1): A list of large
numbers -- 2.4. Conclusion -- New thoughts about the
nature of P.Rhind -- Summary: Comparison of hieratic
Egyptian and OB mathematics -- Chapter 3 Demotic
Mathematical Papyri and Cuneiform Mathematical Texts --
3.1. Themes in P.Cairo (Ptolemaic, the 3rd C. BCE) -- 3.1
a. P.Cairo, a hieratic mathematical recombination text --
3.1 b. P.Cairo 8 (DMP ## 24-31). A pole against a wall --
3.1 c. P.Cairo 1 (DMP ## 2-3). Two closely related
division problems -- 3.1 d. P.Cairo 2 (DMP ## 4-6).
Completion problems -- 3.1 e. P.Cairo 3 (DMP ## 7, 15-16,
18). A rectangular sail -- 3.1 f. P.Cairo 4 (DMP ## 8-12,
14, 17). Reshaping a rectangular cloth -- 3.1 g. P.Cairo
7 (DMP # 23). Shares in a geometric progression -- 3.1 h.
P.Cairo 9 (DMP ## 32-33). Diameter of a circle with given
area -- 3.1 i. P.Cairo 10 (DMP ## 34-35). Metric algebra
-- 3.1 j . P.Cairo 11 (DMP ## 36, 38). An equilateral
triangle in a circle -- 3.1 k. P.Cairo 12 (DMP # 37). A
square inscribed in a circle -- 3.1.1. P.Cairo 13-14 (DMP
## 39-40). Pyramids with a square base -- 3.1 m. P.Cairo
15-16 (## "32-33"). Metric algebra -- 3.2. P.British
Museum 10399 (Ptolemaic, Later than P.Cairo) -- 3.2 a.
P.BM 10399 1 (DMP # 41). A circle-and-chord problem --
3.2 b. P.BM 10399 2 (DMP ## 42-45). Masts (truncated
cones) -- 3.2 c. P.BM 10399 3 (DMP ## 46-51). The
reciprocal of 1 + 1/n, etc. -- 3.3. P.British Museum 10520
(Early(?) Roman) -- 3.3 a. P.BM 10520 1 (DMP # 53). The
iterated sum of 1 through 10 -- 3.3 b. P.BM 10520 2 (DMP
# 54). A multiplication table for 64 -- 3.3 c. P.BM 10520
3 (DMP # 55). A new multiplication rule
505 8 3.3 d. P.BM 10520 4 (DMP # 56). 2/35 expressed as a sum
of parts -- 3.3 e. P.BM 10520 5 (DMP ## 57-61).
Operations with fractions -- 3.3 f. P.BM 10520 6 (DMP ##
62-63). The square side rule -- 3.3 g. P.BM 10520 7 (DMP
## 64-65). The quadrilateral area rule -- 3.4. P.British
Museum 10794 (Date Uncertain) -- Multiplication tables for
90 and 150 (DMP ## 66-67) -- 3.5. P.Carlsberg 30 (Probably
2nd Century BCE)29 -- 3.5 a. P.Carlsberg 30 # 1 (DMP #
69). The diagonal of a square, etc. -- 3.5 b. P.Carlsberg
30 # 2 (DMP ## 71-72). A system of linear equations --
3.6. P.Griffith Inst. I. E. 7 (Late Ptolemaic or Early
Roman) -- A theme text with linear equations -- 3.7.
P.Heidelberg 663 (Ptolemaic, 2nd or 1st C. BCE) -- 3.7 a.
P.Heidelberg 663 # 1. A vertically striped trapezoid --
3.7 b. P.Heidelberg 663 # 2. A horizontally striped
trapezoid -- 3.7 c. P.Heidelberg 663. Parallel texts --
3.8. Conclusion -- The importance of P.Cairo for the
history of mathematics -- The other demotic mathematical
papyri -- Chapter 4 Greek-Egyptian Mathematical Documents
and Cuneiform Mathematical Texts -- 4.1. O.Bodl. ii 1847
(30 BCE), an Ostracon with Schematic Field Plans -- 4.2.
P.Oxyrhynchus iii 470 (3rd C. CE). A Water Clock -- 4.3.
P. Vindobonensis G. 26740. Five Illustrated Geometric
Exercises -- 4.3 a. P.Vindob. G. 26740 # 1. A segment of a
circular band -- 4.3 b. P. Vindob. G. 26740 ## 2-4. A
circle area found in three ways -- 4.3 c. P.Vindob. G.
26740 # 5. The area of a semicircle -- 4.4. P.Mich. 620.
Systems of Linear Equations. Tabular Arrays -- 4.4 a.
P.Mich. 620 # 1. A system of linear equations: four
unknowns -- 4.4 b. P.Mich. 620 # 2. A system of linear
equations: two unknowns -- 4.4 c. P.Mich. 620 # 3. A
system of linear equations: three unknowns -- 4.5.
P.Akhmîm (7th C. CE). Calculations with Fractions -- 4.5
a. P.Akhmîm. Ten tables of fractions
505 8 4.5 b. P.Akhmîm 1. The capacity measure(?) of a truncated
cone -- 4.5 c. P.Akhmîm 2. The capacity measure of a
rectangular granary -- 4.5 d. P.Akhmîm 3, 5. Unequal
sharing, and division exercises -- 4.5 e. P.Akhmîm 4-10.
Examples of counting with fractions -- 4.5 f. P.Akhmîm 9.
Prices and market rates -- 4.6. WT.Michael 62 (7th? C.
CE). Prices and Market Rates -- 4.7. Problems for Right
Triangles and Quadrilaterals -- 4.7 a. P.Genève 259.
Problems for the sides of a right triangle -- 4.7 b.
P.Chicago litt. 3. Three types of non-symmetric trapezoids
-- 4.7 c. P.Cornell 69. Non-symmetric trapezoids, and a
birectangle -- 4.8. P.Vindobonensis G. 19996 (1st C. CE?).
Stereometric Exercises -- 4.8 a. P.Vindob. G. 19996:
Contents -- 4.8 b. P.Vindob. G. 19996 # 10. A pyramid with
a triangular base -- 4.8 c. P.Vindob. G. 19996 # 13. A
truncated triangular pyramid -- 4.8 d. P.Vindob. G. 19996
# 18. A square pyramid -- 4.8 e. P.Vindob. G. 19996 # 19.
A truncated square pyramid -- 4.8 f. P.Vindob. G. 19996 #
24. A truncated circular cone -- 4.8 g. Pyramids and cones
in Old Babylonian mathematical texts -- 4.9. Conclusion --
Relations between Greek-Egyptian and Babylonian
mathematics -- New Thoughts About the History of Ancient
Mathematics -- Index of Texts -- Index of Subjects --
Bibliography
520 Key Features:Extensive surveys of known Egyptian
mathematical textsNew interpretations of particularly
difficult Egyptian or Babylonian mathematical
exercisesMany detailed diagrams and figures, using
computer-aided methods of presentationsInteresting
observations of experiments with new ways of representing
fractions in demotic and Greek-Egyptian mathematical texts
588 Description based on publisher supplied metadata and other
sources
590 Electronic reproduction. Ann Arbor, Michigan : ProQuest
Ebook Central, 2020. Available via World Wide Web. Access
may be limited to ProQuest Ebook Central affiliated
libraries
650 0 Mathematics, Ancient.;Mathematics, Babylonian.;Mathematics,
Egyptian
655 4 Electronic books
776 08 |iPrint version:|aFriberg, Joran|tUnexpected Links Between
Egyptian And Babylonian Mathematics|dSingapore : World
Scientific Publishing Company,c2005|z9789812563286
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