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Get A Remarkable Collection of Babylonian Mathematical Texts: PDF

By Jöran Friberg

ISBN-10: 0387345434

ISBN-13: 9780387345437

ISBN-10: 0387489770

ISBN-13: 9780387489773

The publication analyzes the mathematical drugs from the personal selection of Martin Schoyen. It comprises analyses of drugs that have by no means been studied ahead of. this gives new perception into Babylonian figuring out of subtle mathematical gadgets. The e-book is punctiliously written and arranged. The drugs are categorised based on mathematical content material and objective, whereas drawings and images are supplied for the main fascinating drugs.

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Additional resources for A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I

Sample text

If the numbers to the left are interpreted as the ‘lengths’ (long sides) and ‘fronts’ (short sides) of three rectangles, then the numbers to the right are the corresponding ‘fields’ (areas). The silently understood unit of length must be the ninda (about 6 meters), and the corresponding unit of area the square ninda. The way the data were chosen is obvious. The author of the text started in exercise # 1 with two nearly equal numbers (rectangle sides), both multiples of 5 (ninda). Then he made the short side (the front) in # 2 equal to the long side (the length) in # 1, and the short side in # 3 equal to the long side in # 2.

A division exercise: What times 4 37 46 40 equals 11 34 26 40? Answer: 2 30. In Old Babylonian mathematical problem texts, it often happens that the need arises to divide one given sexagesimal number (a) by another (b). If the reciprocal igi b is known, then a/b is routinely computed as a · igi b. (See Sec. 4. sì) 23 the opposite of b cannot be resolved what as much as b shall I set that will give me a? ) The answer to this question is always given directly; there is no known text where the question is followed by an explicit computation.

Obv. 1 1 3˚ 4˚ 3 rev. 4˚ 5 i g i. bi 3˚ 9 3˚ 8 4˚ 8 3˚ 8 2˚ 8 3˚ 5˚ 7 7 4˚ 2 8 6 4˚ 3 2˚ 7 5˚ 3 5 1˚1 4˚ 9 6 4˚ 3 1˚ 5 4˚ The reciprocal of the 7-place sexagesimal number in line 3 is an 18-place number beginning in line 4 of the obverse with 5 sexagesimal places and continuing with 13 additional places, written on the edge and in two lines on the reverse. An interesting mistake was made in the computation of the first reciprocal. Fig. 5. MS 3264. Two many-place regular sexagesimal numbers and their reciprocals.

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A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts I by Jöran Friberg

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