# ePub Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin (Sources and Studies in the History of Mathematics and Physical Sciences) download

# by Jens Høyrup

Babylonian mathematical sources are extremely sparse in words, as is. .

Babylonian mathematical sources are extremely sparse in words, as is understandable since they are laboriously inscribed on clay. This extremely condensed, telegraphic style, allows for a considerable scope of interpretation. We fill in the hole in the L. This hole is a square of side 30', so its area is 15'. So when we fill in the hole the total area is 45'+15' 1. Otto Neugebauer's "The Exact Sciences in Antiquity" was monumental when published in the 1950s.

Request PDF On Jan 1, 2002, Jens Høyrup and others published Lengths, Widths, Surfaces. By the 2 nd millennium, the Old Babylonian mathematicians had developed a so- called pure mathematics involving complex algorithms for calculating answers to artificial as well as practical problems (Friberg, 2007;Høyrup, 2002a, 2002bRobson, 2007Robson,, 2008.

Sources and Studies in the History of Mathematics and Physical . It and AO 8862 belong to a larger group of Old Babylonian school tablets from Larsa.

Sources and Studies in the History of Mathematics and Physical Sciences. For instance AO 8863 and AO 8864, both hexagonal prisms carrying Sumerian literary compositions from the scribal curriculum, are dated to 1739 BCE. 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

Sources and Studies in the History of Mathematics and Physical Sciences. Lengths, Widths, Surfaces. A Portrait of Old Babylonian Algebra and Its Kin. Authors: Høyrup, Jens. price for USA in USD (gross). ISBN 978-1-4757-3685-4. 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.

Jens Egede Høyrup, born 1943 in Copenhagen, is a Danish historian of mathematics, specializing in pre-modern and early modern mathematics, ancient Mesopotamian .

Jens Egede Høyrup, born 1943 in Copenhagen, is a Danish historian of mathematics, specializing in pre-modern and early modern mathematics, ancient Mesopotamian mathematics in particular. He is especially known for his interpretation of what has often been referred to as Old Babylonian "algebra" as consisting of concrete, geometric manipulations. Sources and Studies in the History of Mathematics and Physical Sciences.

Springer, Springer New York.

Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin (Sources and Studies in the History of Mathematics and Physical Sciences). Sources and Studies in the History of Mathematics and Physic. Springer, Springer New York.

Lengths, widths, surfaces: a portrait of Old Babylonian algebra and its kin. Jens Høyrup. Download (pdf, 1. 7 Mb) Donate Read.

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Sources and Studies in the History of Mathematics and Physical Sciences K. Andersen Brook Taylor’s Work on Linear . The problems lead to systems of equations, apparently solved by use of metric algebra in a quite sophisticated way. Then follows another example of an igi-igi. Andersen Brook Taylor’s Work on Linear Perspective K. Andersen The Geometry of An Art . Bos Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction J. Cannon/S. Dostrowsky The Evolution of Dynamics: Vibration Theory From 1687 to 1742 B. Chandler/W. bi problem, and two more, badly preserved problems. The text ends with a summary of the topics in the text.

Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin (Sources and Studies in the .

Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin (Sources and Studies in the History of Mathematics and Physical Sciences). FIND Sources and Studies in the History of Mathematics and Physical Sciences on Barnes & Noble.

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.

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