A Remarkable Collection Of Babylonian Mathematical Texts
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A Remarkable Collection Of Babylonian Mathematical Texts
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Author : Jöran Friberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-01
A Remarkable Collection Of Babylonian Mathematical Texts written by Jöran Friberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-01 with Mathematics categories.
The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.
A Remarkable Collection Of Babylonian Mathematical Texts
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Author : Joran Friberg
language : en
Publisher:
Release Date : 2007
A Remarkable Collection Of Babylonian Mathematical Texts written by Joran Friberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
New Mathematical Cuneiform Texts
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Author : Jöran Friberg
language : en
Publisher: Springer
Release Date : 2017-02-13
New Mathematical Cuneiform Texts written by Jöran Friberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-13 with Mathematics categories.
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007) written by Jöran Friberg, the leading expert on Babylonian mathematics. Focussing on the big picture, Friberg explores in this book several Late Babylonian arithmetical and metro-mathematical table texts from the sites of Babylon, Uruk and Sippar, collections of mathematical exercises from four Old Babylonian sites, as well as a new text from Early Dynastic/Early Sargonic Umma, which is the oldest known collection of mathematical exercises. A table of reciprocals from the end of the third millennium BC, differing radically from well-documented but younger tables of reciprocals from the Neo-Sumerian and Old-Babylonian periods, as well as a fragment of a Neo-Sumerian clay tablet showing a new type of a labyrinth are also discussed. The material is presented in the form of photos, hand copies, transliterations and translations, accompanied by exhaustive explanations. The previously unpublished mathematical cuneiform texts presented in this book were discovered by Farouk Al-Rawi, who also made numerous beautiful hand copies of most of the clay tablets. Historians of mathematics and the Mesopotamian civilization, linguists and those interested in ancient labyrinths will find New Mathematical Cuneiform Texts particularly valuable. The book contains many texts of previously unknown types and material that is not available elsewhere.
Babylonian Mathematical Astronomy Procedure Texts
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Author : Mathieu Ossendrijver
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-24
Babylonian Mathematical Astronomy Procedure Texts written by Mathieu Ossendrijver and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-24 with Mathematics categories.
This book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains updated and expanded interpretations of the astronomical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts. Special attention is paid to issues of mathematical representation and over 100 photos of cuneiform tablets dating from 350-50 BCE are presented. In 2-3 years, the author intends to continue his study of Babylonian mathematical astronomy with a new publication which will contain new editions and reconstructions of approx. 250 tabular texts and a new philological, astronomical and mathematical analysis of these texts. Tabular texts are end products of Babylonian math astronomy, computed with algorithms that are formulated in the present volume, Procedure Texts.
Lengths Widths Surfaces
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Author : Jens Høyrup
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Lengths Widths Surfaces written by Jens Høyrup and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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.
The First Ninety Years
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Author : Lluís Feliu
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-11
The First Ninety Years written by Lluís Feliu and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with History categories.
This volume is dedicated to Miguel Civil in celebration of his 90th birthday. Civil has been one of the most influential scholars in the field of Sumerian studies over the course of his long career. This anniversary presents a welcome occasion to reflect on some aspects of the field in which he has been such a driving force.
Amazing Traces Of A Babylonian Origin In Greek Mathematics
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Author : Joran Friberg
language : en
Publisher: World Scientific
Release Date : 2007-04-18
Amazing Traces Of A Babylonian Origin In Greek Mathematics written by Joran Friberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-18 with Mathematics categories.
A sequel to Unexpected Links Between Egyptian and Babylonian Mathematics (World Scientific, 2005), this book is based on the author's intensive and ground breaking studies of the long history of Mesopotamian mathematics, from the late 4th to the late 1st millennium BC. It is argued in the book that several of the most famous Greek mathematicians appear to have been familiar with various aspects of Babylonian “metric algebra,” a convenient name for an elaborate combination of geometry, metrology, and quadratic equations that is known from both Babylonian and pre-Babylonian mathematical clay tablets.The book's use of “metric algebra diagrams” in the Babylonian style, where the side lengths and areas of geometric figures are explicitly indicated, instead of wholly abstract “lettered diagrams” in the Greek style, is essential for an improved understanding of many interesting propositions and constructions in Greek mathematical works. The author's comparisons with Babylonian mathematics also lead to new answers to some important open questions in the history of Greek mathematics.
Cultures Of Computation And Quantification In The Ancient World
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Author : Karine Chemla
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Cultures Of Computation And Quantification In The Ancient World written by Karine Chemla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
This book sheds light on the variety of mathematical cultures in general. To do so, it concentrates on cultures of computation and quantification in the ancient world, mainly in ancient China, South Asia, and the Ancient Near East and offers case studies focused on numbers, quantities, and operations, in particular in relation to mathematics as well as administrative and economic activities. The various chapters focus on the different ways and contexts of shaping numbers and quantities, and on the procedures applied to them. The book places special emphasis on the processes of emergence of place-value number systems, evidenced in the three geographical areas under study All these features yield essential elements that will enable historians of mathematics to further capture the diversity of computation practices in their contexts, whereas previous historical approaches have tended to emphasize elements that displayed uniformity within “civilizational” blocks. The book includes editions and translations of texts, some of them published here for the first time, maps, and conventions for editions of ancient texts. It thereby offers primary sources and methodological tools for teaching and learning. The volume is aimed at historians and philosophers of science and mathematics, historians of the ancient worlds, historians of economics, sinologists, indologists, assyriologists, as well as undergraduate, graduate students and teachers in mathematics, the history and philosophy of science and mathematics, and in the history of ancient worlds.
The Oxford History Of The Ancient Near East
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Author : Karen Radner
language : en
Publisher: Oxford University Press
Release Date : 2022-05-13
The Oxford History Of The Ancient Near East written by Karen Radner and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-13 with Social Science categories.
This groundbreaking, five-volume series offers a comprehensive, fully illustrated history of Egypt and Western Asia (the Levant, Anatolia, Mesopotamia, and Iran), from the emergence of complex states to the conquest of Alexander the Great. Written by a diverse, international team of leading scholars whose expertise brings to life the people, places, and times of the remote past, the volumes in this series focus firmly on the political and social histories of the states and communities of the ancient Near East. Individual chapters present the key textual and material sources underpinning the historical reconstruction, paying particular attention to the most recent archaeological finds and their impact on our historical understanding of the periods surveyed. The second volume covers broadly the first half of the second millennium BC or in archaeological terms, the Middle Bronze Age. Eleven chapters present the history of the Near East, beginning with the First Intermediate Period and Middle Kingdom Egypt and the Mesopotamian kingdoms of Ur (Third Dynasty), Isin and Larsa. The complex mosaic of competing states that arose between the Eastern Mediterranean, the Anatolian highlands and the Zagros mountains of Iran are all treated, culminating in an examination of the kingdom of Babylon founded by Hammurabi and maintained by his successors. Beyond the narrative history of each region considered, the volume treats a wide range of critical topics, including the absolute chronology; state formation and disintegration; the role of kingship, cult practice and material culture in the creation and maintenance of social hierarchies; and long-distance trade-both terrestrial and maritime-as a vital factor in the creation of social, political and economic networks that bridged deserts, oceans, and mountain ranges, binding together the extraordinarily diverse peoples and polities of Sub-Saharan Africa, the Near East, and Central Asia.
Computations And Computing Devices In Mathematics Education Before The Advent Of Electronic Calculators
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Author : Alexei Volkov
language : en
Publisher: Springer
Release Date : 2019-01-11
Computations And Computing Devices In Mathematics Education Before The Advent Of Electronic Calculators written by Alexei Volkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-11 with Education categories.
This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.