Lengths, Widths, Surfaces
A Portrait of Old Babylonian Algebra and Its Kin
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Lengths, Widths, Surfaces “
I. IntroductionII. A New Reading
III. Select Textual Examples
IV. Methods
V. Further "Algebraic" Texts
VI. Quasi-Algebraic Geometry
VII. Old Babylonian "Algebra": A Global Characterization
VIII. The Historical Framework
IX. The "Finer Structure" of the Old Babylonian Corpus
X. The Origin and Transformations of Old Babylonian Algebra
XI. Repercussions and Influences
XII. Index of Tablets
XIII. Index of Akkadian and Sumerian Terms and Key Phrases
XIV. Name Index
XV. Subject Index
XVI. Abbreviations and Bibliography
Bibliographische Angaben
- Autor: Jens Høyrup
- 2002, 462 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387953035
- ISBN-13: 9780387953038
- Erscheinungsdatum: 02.01.2002
Sprache:
Englisch
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