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Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin /
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Catalogue Information
Field name
Details
Dewey Class
510.9
Title
Lengths, Widths, Surfaces ([EBook] :) : A Portrait of Old Babylonian Algebra and Its Kin / / by Jens Høyrup.
Author
Høyrup, Jens
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 2002.
Physical Details
XIV, 462 p. : online resource.
Series
Sources and studies in the history of mathematics and physical sciences
ISBN
9781475736854
Summary Note
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.:
Contents note
I Introduction -- II 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 -- Abbreviations and Bibliography -- Index of Tablets -- Index of Akkadian and Sumerian Terms and Key Phrases -- Name Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-3685-4
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Subject References:
History
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History of Mathematical Sciences
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History of Science
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Mathematics
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Authors:
Høyrup, Jens
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SpringerLink (Online service)
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Series:
Sources and studies in the history of mathematics and physical sciences
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Classification:
510.9
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