Unexpected Links Between Egyptian and Babylonian MathematicsWorld Scientific, 2005 - 294 էջ Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and papers that have been written about Egyptian mathematical papyri have mostly reiterated the same old presentations and interpretations of the texts.In this book, it is shown that the methods developed by the author for the close study of mathematical cuneiform texts can also be successfully applied to all kinds of Egyptian mathematical texts, hieratic, demotic, or Greek-Egyptian. At the same time, comparisons of a large number of individual Egyptian mathematical exercises with Babylonian parallels yield many new insights into the nature of Egyptian mathematics and show that Egyptian and Babylonian mathematics display greater similarities than expected. |
Բովանդակություն
Chapter 1 Two Curious Mathematical Cuneiform Texts from Old Babylonian Mari | 1 |
Chapter 2 Hieratic Mathematical Papyri and Cuneiform Mathematical Texts | 25 |
Chapter 3 Demotic Mathematical Papyri and Cuneiform Mathematical Texts | 105 |
Chapter 4 GreekEgyptian Mathematical Documents and Cuneiform Mathematical Texts | 193 |
New Thoughts About the History of Ancient Mathematics | 269 |
271 | |
277 | |
Bibliography | 283 |
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Common terms and phrases
a-na a.rá A₁ algorithm appr area rule Babylonian mathematics barig barley barley-corns binomial fractions bùr Cairo capacity measure circle segment clay tablet cubits cuneiform demotic mathematical diameter division problems drachmas Egyptian mathematics en.nam equal equilateral triangle examples exercises false value Friberg geometric progression gín given grain measure granary Greek mathematical hand tablet height h heqat hieratic mathematical Høyrup i-na i-ši igi.bi khet length linear equations ma.na market rate mathematical cuneiform texts mathematical papyri MCTSC Mesopotamia metric algebra multiplication Neugebauer ninda notations ostracon P.Akhmîm P.BM P.Cairo P.Heidelberg 663 P.Mich P.Moscow P.Rhind P.UC parallel Parker pesu recombination text rectangle reed result ridge pyramid right triangle šar še U4 setat sexagesimal numbers shares shekels side sila solution procedure square šu.si system of equations ta-mar tabular array theme text transliteration transversal trapezoid truncated cone Uruk Vindob volume