A Remarkable Collection of Babylonian Mathematical Texts: Manuscripts in the Schøyen Collection: Cuneiform Texts ISpringer Science & Business Media, 1. 10. 2007 - 536 strán (strany) The sub-collection of mathematical cuneiform texts in the Schøyen Collection makes a substantial addition to the known corpus of such texts. It contains 121 texts, not counting 151 multiplication tables and 53 small weight stones. According to the catalog at the end of the Index of Subjects below, where those 121 mathematical texts are ordered by content, nearly all known kinds, and some new kinds, of mathematical cun- form texts are represented in the collection. Therefore it has been possible to organize the present work as a broad general account of Mesopotamian mathematics, illustrated mainly by texts from the Schøyen Collection, but occasionally also by previously published texts. The general disposition of the book is borrowed from my own concise but comprehensive survey of Mesopotamian mathematics in the article on “Mathematics” in Reallexikon der Assyriologie, vol. 7 (1990). My ambition has been to make the account easily accessible to all kinds of readers, yet still as detailed and exhaustive as possible. For that purpose, there is, for instance, an introductory Chapter 0 on “how to get a b- ter understanding of mathematical cuneiform texts”. The chapter begins with a discussion of the danger of unintentional anachronisms in translations of pre-Greek mathematical texts, and continues with a presentation of the kind of “conform” transliterations, translations, and interpretations, true to the original, that will be used throughout the book in discussions of individual texts. |
Obsah
| 1 | |
| 8 | |
| 13 | |
Old Babylonian Arithmetical Table Texts | 45 |
Old Babylonian Metrological Table Texts | 101 |
Mesopotamian Weight Stones | 127 |
NeoSumerian Field Plans Ur III | 137 |
An Old Sumerian MetroMathematical Table Text Early Dynastic IIIa | 147 |
Subtractive Notations for Numbers in Mathematical Cuneiform Texts | 355 |
The Old Babylonian Combined Multiplication Table | 361 |
Cuneiform Systems of Notations for Numbers and Measures | 373 |
ProtoCuneiform Time Numbers | 379 |
Old Babylonian Complete Metrological Tables | 385 |
Old Babylonian and Other Combined Metrological Lists | 395 |
Two Old Akkadian Applications of the Field Expansion Procedure | 401 |
TM 75 G 2346 Ebla Another Decimal Division | 410 |
Old Babylonian Hand Tablets with Practical Mathematics | 155 |
Three Old Babylonian Mathematical Problem Texts from Uruk | 245 |
Diagonal | 252 |
Three Problem Texts Not Belonging to Any Known Group of Texts | 295 |
Completing the Square 11 2 b BM 13901 23 A Related Text with a Four Ways Extended Square 11 2 c MS 5112 2 a A trivial Problem for Two Sq... | 308 |
BM 13901 8 | 315 |
Metric Algebra Problems for the Length and Front of a 11 2 j MS 5112 7 ab Two Badly Preserved RectangularLinear Systems | 328 |
Other Texts Mentioning the Sum of the Length the Front and the 11 2 l MS 5112 9 Changing the Form of a Rectangle while Keeping the Area | 336 |
A Combined MetroMathematical Table Text | 419 |
Plimpton 322 a Table of Parameters for igiigi bi Problems | 433 |
ManyPlace Squares of Squares in Late Babylonian Mathematical Texts | 453 |
Vocabulary for the MS Texts | 503 |
Index of Subjects | 509 |
TSS 50 671 Shuruppak Sexagesimal Metric Division Exercises ED A6 8 Examples of Complicated Designs IIIa | 510 |
References | 521 |
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Časté výrazy a frázy
30 ninda 60 sila a-na a.rá a.rá a.rá a.šà Akkadian appr area number aša aša5 ba.si Babylonian mathematicians barig barley-corns bricks bùr clay tablet column combined multiplication table computed cube sides cubits cuneiform danna diagonal en.nam equalsided equations exercises Friberg front gál géš gín gín.bi given number hand copy hand tablet head number i-na íb.sig igi.bi in.sì inscribed kùš Larsa length lines ma.na many-place minas ninda Nisaba obverse Old Babylonian mathematical place value notation Plimpton 322 problem recombination text rectangle regular sexagesimal number reverse šà šar Schøyen Collection shekel Shuruppak sìla single multiplication tables solution procedure square sides šu.si sub-tables sukud Sumerian Sumerian King List ta-mar table for system table of reciprocals table of squares table text trailing part algorithm transliteration trapezoid Ur III Uruk weight
Populárne pasáže
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Strana 241 - This same shall comfort us concerning our work and toil of our hands, because of the ground which the LORD hath cursed. 30 And Lamech lived after he begat Noah five hundred ninety and five years, and begat sons and daughters : 31 And all the days of Lamech were seven hundred seventy and seven years : and he died. 32 And Noah was five hundred years old : and Noah begat Shem, Ham, and Japheth.
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Strana 66 - The volume of a triangular pyramid is equal to one third of the product of its base by its altitude.
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Strana 315 - ... is equal to the sum of the areas of the squares with sides a and b, respectively, erected on the other sides of the right triangle.