By Jöran Friberg
The booklet analyzes the mathematical capsules from the personal number of Martin Schoyen. It comprises analyses of drugs that have by no means been studied ahead of. this gives new perception into Babylonian realizing of refined mathematical gadgets. The e-book is punctiliously written and arranged. The pills are categorised in line with mathematical content material and function, whereas drawings and photographs are supplied for the main fascinating capsules.
Read or Download A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I PDF
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Extra info for A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I
Cit. Sec. 7c). In one of the last steps of the solution algorithm, the problem has been reduced to a linear equation: 6 14 24 · r* = 2 36 (00) ninda. The division of 2 36 (00) by 6 14 24 is not explicitly given, but was possibly achieved as follows: 6 14 24 15 36 26 13 2 30 1 40 30 2 36 6 30 10 50 5 25 Thus, the removal of all regular factors in 6 14 24 shows that the equation 6 14 24 · r* = 2 36 (00) ninda can be simplified to 13 (00) · r* = 5 25 ninda. In the multiplication table for the head number 25 one of the entries says that 13 · 25 = 5 25.
The Old Babylonian text BM 22706 in Nissen/Damerow/Englund, ABK (1993), 150. On the obverse of that tablet are recorded the first 10 powers of 1 40, while on the reverse are recorded the first 10 powers of 5. 4. 4 b. 27 = 15 55 30 53 34 04 48 = 1 19 37 34 27 50 24 = 6 38 07 52 19 12 = 33 10 39 21 36 Reciprocals of Many-Place Regular Sexagesimal Numbers MS 2730 (Fig. 2, top) is a rectangular clay tablet, inscribed with cuneiform number signs in two lines of text near the upper edge: 1. 4 51 16 16 03 45 2.
In the case of the present text, MS 2831, the five given numbers can be explained as the “round” number 10, followed by four “almost round numbers” of the form ‘10 plus a simple fraction of 10’. Indeed, 10 11 11;40 12 12;30 = = = = 10 + 1 10 + 1;40 10 + 2 10 + 2;30 = = = = = 10 10 + 1/10 of 10 + 1/6 of 10 + 1/5 of 10 + 1/4 of 10 10 10 10 20 1. Old Babylonian Arithmetical Hand Tablets Why the teacher chose to ask his student to compute the squares of such a series of almost round numbers is not directly obvious.