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Lengths, Widths, Surfaces (Graduate Texts in Mathematics)

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Lengths, Widths, Surfaces (Graduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

In this new examination of Babylonian cuneiform texts, Jens Hoyrup proposes a new interpretation, based on the fact that the tablets are almost entirely students workbooks. The knowledge of mathematics expressed in these tablets is entirely practical, for use in surveying, accounting, and building, rather than theoretical. Hoyrup argues that the notion of algebraic manipulation, like other parts of a theoretical mathematics is indeed a later invention.

Table of Contents

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 / XII. Index of Tablets / XIII. Index of Akkadian and Sumerian Terms and Key Phrases / XIV. Name Index / XV. Subject Index / XVI. Abbreviations and Bibliography

Product Details

ISBN:
9780387953038
Author:
Hyrup, Jens
Author:
Hoyrup, J.
Author:
Ha Yrup, Jens
Author:
Hyrup, Jens
Author:
Høyrup, Jens
Author:
Hoyrup, Jens
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
Algebra
Subject:
Mathematics, Babylonian.
Subject:
General Mathematics
Subject:
Mathematics - General
Subject:
Mathematics -- History.
Subject:
History
Subject:
History of Mathematical Sciences
Subject:
History of science
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Science_xHistory
Copyright:
Edition Description:
Book
Series:
Sources and Studies in the History of Mathematics and Physical Sciences
Series Volume:
18
Publication Date:
20020131
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
476
Dimensions:
235 x 155 mm 1880 gr

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » General
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Lengths, Widths, Surfaces (Graduate Texts in Mathematics) New Hardcover
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Product details 476 pages Springer-Verlag - English 9780387953038 Reviews:
"Synopsis" by , In this new examination of Babylonian cuneiform texts, Jens Hoyrup proposes a new interpretation, based on the fact that the tablets are almost entirely students workbooks. The knowledge of mathematics expressed in these tablets is entirely practical, for use in surveying, accounting, and building, rather than theoretical. Hoyrup argues that the notion of algebraic manipulation, like other parts of a theoretical mathematics is indeed a later invention.
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