New PDF release: A Remarkable Collection of Babylonian Mathematical Texts:

By Jöran Friberg

ISBN-10: 0387345434

ISBN-13: 9780387345437

ISBN-10: 0387489770

ISBN-13: 9780387489773

The e-book analyzes the mathematical drugs from the personal number of Martin Schoyen. It comprises analyses of drugs that have by no means been studied prior to. this offers new perception into Babylonian figuring out of subtle mathematical gadgets. The booklet is punctiliously written and arranged. The capsules are categorized in line with mathematical content material and goal, whereas drawings and photographs are supplied for the main fascinating pills.

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

Example text

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. Anyway, in handing out this assignment, the teacher’s purpose was probably to give the student training in the application of the simple binomial rule sq. (a + b) = sq. a + 2 · a · b + sq.

The number signs near the lower edge are hard to read. Some of the signs are weakly impressed, others are apparently written on top of each other. The numbers near the lower edge are followed by several perfectly legible number signs on the lower part of the right edge. What seems to be clear is that the last of the number signs near the lower edge, and the numbers signs on the right edge near the lower edge, together form a 3-place trailing part of some many-place regular sexagesimal number, that trailing part being … 24 22 30.

2. bi 39 38 48 38 28 [3]7 02 08 43 27 09 43 [15] / 53 05 11 06 40. A quick look in Gingerich’s table of 11-digit regular numbers and their reciprocals (op. ) is enough in order to find out that the number in line 1 must be a mistake for 1 01 30 33 45 = the square of 5, tripled 12 times (312 · 52). bi, must be 1 27 47 2[9 22 5]7 46 40 = the 9th power of 5, doubled 21 times (221 · 59). Strangely enough, this number is not the reciprocal of 1 01 30 33 45. The teacher or student who computed this number must have made a fatal mistake.

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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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