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Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin

Høyrup, Jens
Heftet / 2010 / Engelsk

Produktdetaljer

ISBN
9781441929457
Publisert
2010-12-06
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Høyrup, Jens

Lengths, Widths, Surfaces A Portrait of Old Babylonian Algebra and Its Kin

Høyrup, Jens
Heftet / 2010 / Engelsk
Høyrup, Jens
Heftet / 2010 / Engelsk
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<p>From the reviews:</p>
<p>J. Høyrup</p>
<p><em>Lengths, Widths, Surfaces</em></p>
<p><em>A Portrait of Old Babylonian Algebra and its Kin</em></p>
<p><em>"A valuable addition to the literature of the ancient Babylonians, the subsequent Seleucid mathematics and their relations with other (later) mathematics. Drawing on studies of the culture in which the texts were developed, it contains extensive 'conformal translations' of the most important texts, as well as analyses of them and interpretations of the pictures that emerge."—</em>THE AUSTRALIAN MATHEMATICAL SOCIETY</p>
<p>"Høyrup has drawn together and updated the key insights of his intellectual journey of the past 15 years and presented them in one unified, handsomely produced volume. … it contains a wealth of information and can be minded by the interested reader for years to come. It is a worthy testament to a career of deep scholarship." (Duncan J. Melville, Historia Mathematica, Vol. 33, 2006)</p>

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.
Les mer
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.
Les mer
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.
Les mer
Springer Book Archives
Springer Book Archives
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Relaterte produkter

<p>From the reviews:</p>
<p>J. Høyrup</p>
<p><em>Lengths, Widths, Surfaces</em></p>
<p><em>A Portrait of Old Babylonian Algebra and its Kin</em></p>
<p><em>"A valuable addition to the literature of the ancient Babylonians, the subsequent Seleucid mathematics and their relations with other (later) mathematics. Drawing on studies of the culture in which the texts were developed, it contains extensive 'conformal translations' of the most important texts, as well as analyses of them and interpretations of the pictures that emerge."—</em>THE AUSTRALIAN MATHEMATICAL SOCIETY</p>
<p>"Høyrup has drawn together and updated the key insights of his intellectual journey of the past 15 years and presented them in one unified, handsomely produced volume. … it contains a wealth of information and can be minded by the interested reader for years to come. It is a worthy testament to a career of deep scholarship." (Duncan J. Melville, Historia Mathematica, Vol. 33, 2006)</p>

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.
Les mer
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.
Les mer
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.
Les mer
Springer Book Archives
Springer Book Archives
GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
Les mer

Produktdetaljer

ISBN
9781441929457
Publisert
2010-12-06
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Forfatter
Høyrup, Jens

Relaterte produkter