A Remarkable Collection of Babylonian Mathematical Texts
Title | A Remarkable Collection of Babylonian Mathematical Texts PDF eBook |
Author | Jöran Friberg |
Publisher | Springer Science & Business Media |
Total Pages | 544 |
Release | 2007-10-01 |
Genre | Mathematics |
ISBN | 0387489770 |
The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.
A Remarkable Collection of Babylonian Mathematical Texts
Title | A Remarkable Collection of Babylonian Mathematical Texts PDF eBook |
Author | Joran Friberg |
Publisher | |
Total Pages | 0 |
Release | 2007 |
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New Mathematical Cuneiform Texts
Title | New Mathematical Cuneiform Texts PDF eBook |
Author | Jöran Friberg |
Publisher | Springer |
Total Pages | 553 |
Release | 2017-02-13 |
Genre | Mathematics |
ISBN | 3319445979 |
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere.
Unexpected Links Between Egyptian and Babylonian Mathematics
Title | Unexpected Links Between Egyptian and Babylonian Mathematics PDF eBook |
Author | Jran Friberg |
Publisher | World Scientific |
Total Pages | 308 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9812701125 |
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.
Unexpected Links Between Egyptian and Ba
Title | Unexpected Links Between Egyptian and Ba PDF eBook |
Author | Jöran Friberg |
Publisher | World Scientific Publishing Company |
Total Pages | 294 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9789812563286 |
Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babyonian, 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 interpretations and presentations 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.
Lengths, Widths, Surfaces
Title | Lengths, Widths, Surfaces PDF eBook |
Author | Jens Høyrup |
Publisher | Springer Science & Business Media |
Total Pages | 462 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 1475736851 |
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Amazing Traces of a Babylonian Origin in Greek Mathematics
Title | Amazing Traces of a Babylonian Origin in Greek Mathematics PDF eBook |
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Total Pages | |
Release | |
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ISBN | 9814476307 |