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A Remarkable Collection of Babylonian Mathematical Texts

Manuscripts in the Schøyen Collection: Cuneiform Texts I

Sources and Studies in the History of Mathematics and Physical Sciences

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The book analyzes the mathematical tablets from the private collection of Martin Schoyen. While some tablets are familiar, many contain fascinating new material. The author translates their mathematical content, compares it with previously known material, then evaluates the period of the tablet and its purpose. This allows the author to provide new insights into the interpretation of some classical tablets, as for example Plimpton 322.
What makes this book so unique is the light being shed on Babylonian mathematics, including new evidence of Babylonian familiarity with sophisticated mathematical objects, such as the knowledge of the three dimensional Pythagorean equation and the geometry of the icosahedron. Another very important finding is the use of the zero notation in novel contexts and periods.
The book is carefully written and organized, with useful drawings and pictures of the most interesting tablets. The book will be of interest to assyriologists, mathematicians, and historians of science. TOC:Acknowledgements.- Introduction.- Documentation of Provenance.- Abbreviations.- How to Get a Better Understanding of Mathematical Cuneiform Texts.- Old Babylonian Arithmetical Hand Tablets.- Old Babylonian Arithmetical Table Texts.- Old Babylonian Metrological Table Texts.- Mesopotamian Weight Stones.- Neo-Sumerian Field Maps (Ur III).- An Old Sumerian Metro-Mathematical Table Text (Early Dynastic IIIa).- Old Babylonian Hand Tablets with Practical Mathematics.- Old Babylonian Hand Tablets with Geometric Exercises.- The Beginning and the End of the Sumerian King List.- Three Old Babylonian Mathematical Problem Texts from Uruk.- Three Problem Texts Not Belonging to Any Known Group of Texts.- App. 1. Subtractive Notations for Numbers in Mathematical Cuneiform Texts.- App. 2. The Old Babylonian Combined Multiplication Table.- App. 3. An Old Babylonian Combined Arithmetical Algorithm.- App. 4. Cuneiform Systems of Notations for Numbers and Measures.- App. 5. Old Babylonian Complete Metrological Tables.- App. 6. Metro-Mathematical Cuneiform Texts from the Third Millennium BC.- App. 7. CUNES 50-08-001. A Combined Metro-Mathematical Table Text (ED IIIb).- App. 8. Plimpton 322, a Table of Parameters for igi-igi.bi Problems.- App. 9. Many-Place Squares of Squares in Late Babylonian Mathematical Texts.- App. 10. Color Photos of Selected Texts.- Vocabulary for the MS Texts.- Index of Subjects.- Index of Texts.- References.
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From the reviews:

"This fascinating book presents 121 unpublished mathematical clay tablets from the Norwegian Schøyen Collection … . The book is divided into 12 chapters, 10 appendices, a vocabulary for MS texts, an index of subjects … and a large list of references. … Many pictures, drawings and coloured photos of the most interesting tablets are also included. … opens up Babylonian mathematics to a new generation of mathematicians, historians of science and mathematics, teachers and students. It can therefore be recommended to a wide audience." (European Mathematical Society Newsletter, June, 2008)

"We welcome the book under review, a study of the Martin Schøyen collection … . this collection include exemplars of virtually every known type of mathematical tablet, as well as some types of tablets that have never been published. … Friberg’s book will be invaluable for anyone studying Mesopotamian mathematics, as it provides so many more examples of mathematical ideas that were used by the scribes. … Any good library in the history of mathematics should possess copies … ." (Victor J. Katz, Mathematical Reviews, Issue 2008 h)

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  • Acknowledgements.- Introduction.- Documentation of Provenance.- Abbreviations.- How to Get a Better Understanding of Mathematical Cuneiform Texts.- Old Babylonian Arithmetical Hand Tablets.- Old Babylonian Arithmetical Table Texts.- Old Babylonian Metrological Table Texts.- Mesopotamian Weight Stones.- Neo-Sumerian Field Maps (Ur III).- An Old Sumerian Metro-Mathematical Table Text (Early Dynastic IIIa).- Old Babylonian Hand Tablets with Practical Mathematics.- Old Babylonian Hand Tablets with Geometric Exercises.- The Beginning and the End of the Sumerian King List.- Three Old Babylonian Mathematical Problem Texts from Uruk.- Three Problem Texts Not Belonging to Any Known Group of Texts.- App. 1. Subtractive Notations for Numbers in Mathematical Cuneiform Texts.- App. 2. The Old Babylonian Combined Multiplication Table.- App. 3. An Old Babylonian Combined Arithmetical Algorithm.- App. 4. Cuneiform Systems of Notations for Numbers and Measures.- App. 5. Old Babylonian Complete Metrological Tables.- App. 6. Metro-Mathematical Cuneiform Texts from the Third Millennium BC.- App. 7. CUNES 50-08-001. A Combined Metro-Mathematical Table Text (ED IIIb).- App. 8. Plimpton 322, a Table of Parameters for igi-igi.bi Problems.- App. 9. Many-Place Squares of Squares in Late Babylonian Mathematical Texts.- App. 10. Color Photos of Selected Texts.- Vocabulary for the MS Texts.- Index of Subjects.- Index of Texts.- References.
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Format PDF i
Kopierschutz Ja i
Erscheinungsdatum 01.10.2007
Sprache Englisch
EAN 9780387489773
Verlag Springer
Dateigröße 129028 KB
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Fr. 212.90
Fr. 212.90
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