Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2002
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Schriftenreihe: | Sources and Studies in the History of Mathematics and Physical Sciences
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (XIV, 462 p) |
ISBN: | 9781475736854 9781441929457 |
DOI: | 10.1007/978-1-4757-3685-4 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Høyrup, Jens Egede 1943- |
author_GND | (DE-588)108957729X |
author_facet | Høyrup, Jens Egede 1943- |
author_role | aut |
author_sort | Høyrup, Jens Egede 1943- |
author_variant | j e h je jeh |
building | Verbundindex |
bvnumber | BV042421509 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
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dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4757-3685-4 |
format | Electronic eBook |
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geographic | Babylonien (DE-588)4004102-5 gnd |
geographic_facet | Babylonien |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:09Z |
institution | BVB |
isbn | 9781475736854 9781441929457 |
language | English |
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publishDate | 2002 |
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publisher | Springer New York |
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series2 | Sources and Studies in the History of Mathematics and Physical Sciences |
spelling | Høyrup, Jens Egede 1943- Verfasser (DE-588)108957729X aut Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin by Jens Høyrup New York, NY Springer New York 2002 1 Online-Ressource (XIV, 462 p) txt rdacontent c rdamedia cr rdacarrier Sources and Studies in the History of Mathematics and Physical Sciences 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 Mathematics Mathematics, general Mathematik Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Babylonien (DE-588)4004102-5 gnd rswk-swf Babylonien (DE-588)4004102-5 g Mathematik (DE-588)4037944-9 s Geschichte (DE-588)4020517-4 s 1\p DE-604 https://doi.org/10.1007/978-1-4757-3685-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Høyrup, Jens Egede 1943- Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin Mathematics Mathematics, general Mathematik Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
subject_GND | (DE-588)4020517-4 (DE-588)4037944-9 (DE-588)4004102-5 |
title | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin |
title_auth | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin |
title_exact_search | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin |
title_full | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin by Jens Høyrup |
title_fullStr | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin by Jens Høyrup |
title_full_unstemmed | Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin by Jens Høyrup |
title_short | Lengths, Widths, Surfaces |
title_sort | lengths widths surfaces a portrait of old babylonian algebra and its kin |
title_sub | A Portrait of Old Babylonian Algebra and Its Kin |
topic | Mathematics Mathematics, general Mathematik Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
topic_facet | Mathematics Mathematics, general Mathematik Geschichte Babylonien |
url | https://doi.org/10.1007/978-1-4757-3685-4 |
work_keys_str_mv | AT høyrupjensegede lengthswidthssurfacesaportraitofoldbabylonianalgebraanditskin |