[PDF] Mathematical Tablets From Tell Harmal eBook

Author : Carlos Gonçalves
Publisher : Springer
Page : 154 pages
File Size : 39,54 MB
Release : 2015-11-13
Category : Mathematics
ISBN : 3319225243

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This work offers a re-edition of twelve mathematical tablets from the site of Tell Harmal, in the borders of present-day Baghdad. In ancient times, Tell Harmal was Šaduppûm, a city representative of the region of the Diyala river and of the kingdom of Ešnunna, to which it belonged for a time. These twelve tablets were originally published in separate articles in the beginning of the 1950s and mostly contain solved problem texts. Some of the problems deal with abstract matters such as triangles and rectangles with no reference to daily life, while others are stated in explicitly empirical contexts, such as the transportation of a load of bricks, the size of a vessel, the number of men needed to build a wall and the acquisition of oil and lard. This new edition of the texts is the first to group them, and takes into account all the recent developments of the research in the history of Mesopotamian mathematics. Its introductory chapters are directed to readers interested in an overview of the mathematical contents of these tablets and the language issues involved in their interpretation, while a chapter of synthesis discusses the ways history of mathematics has typically dealt with the mathematical evidence and inquires how and to what degree mathematical tablets can be made part of a picture of the larger social context. Furthermore, the volume contributes to a geography of the Old Babylonian mathematical practices, by evidencing that scribes at Šaduppûm made use of cultural material that was locally available. The edited texts are accompanied by translations, philological, and mathematical commentaries.

Author : Jöran Friberg
Publisher : Springer
Page : 566 pages
File Size : 15,93 MB
Release : 2017-02-13
Category : Mathematics
ISBN : 3319445979

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This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script.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.

Author : Alain Bernard
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 42,42 MB
Release : 2013-11-26
Category : Science
ISBN : 9400751222

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This book examines the textual, social, cultural, practical and institutional environments to which the expression “teaching and learning contexts” refers. It reflects on the extent to which studying such environments helps us to better understand ancient or modern sources, and how notions of “teaching” and “learning” are to be understood. Tackling two problems: the first, is that of certain sources of scientific knowledge being studied without taking into account the various “contexts” of transmission that gave this knowledge a long-lasting meaning. The second is that other sources are related to teaching and learning activities, but without being too precise and demonstrative about the existence and nature of this “teaching context”. In other words, this book makes clear what is meant by “context” and highlights the complexity of the practice hidden by the words “teaching” and “learning”. Divided into three parts, the book makes accessible teaching and learning situations, presents comparatist approaches, and emphasizes the notion of teaching as projects embedded in coherent treatises or productions.

Author : Agnès Garcia-Ventura
Publisher : Penn State Press
Page : 282 pages
File Size : 26,17 MB
Release : 2021-03-03
Category : History
ISBN : 1646020871

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The present volume collects eighteen essays exploring the history of ancient Near Eastern studies. Combining diverse approaches—synthetic and analytic, diachronic and transnational—this collection offers critical reflections on the who, why, and how of this cluster of fields. How have political contexts determined the conduct of research? How do academic agendas reflect larger social, economic, and cultural interests? How have schools of thought and intellectual traditions configured, and sometimes predetermined, the study of the ancient Near East? Contributions treating research during the Nazi and fascist periods examine the interpenetration of academic work with politics, while contributions dealing with specific national contexts disclose fresh perspectives on individual scholars as well as the conditions and institutions in which they worked. Particular attention is given to scholarship in countries such as Turkey, Portugal, Iran, China, and Spain, which have hitherto been marginal to historiographic accounts of ancient Near Eastern studies. In addition to the editors, the contributors are Selim Ferru Adali, Silvia Alaura, Isabel Almeida, Petr Charvát, Parsa Daneshmand, Eva von Dassow, Hakan Erol, Sebastian Fink, Jakob Flygare, Pietro Giammellaro, Carlos Gonçalves, Katrien de Graef, Steven W. Holloway, Ahmed Fatima Kzzo, Changyu Liu, Patrick Maxime Michel, Emanuel Pfoh, Jitka Sýkorová, Luděk Vacín, and Jordi Vidal.

Author : Paul Turquand Keyser
Publisher : Oxford University Press
Page : 1065 pages
File Size : 24,62 MB
Release : 2018
Category : History
ISBN : 0199734143

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With a focus on science in the ancient societies of Greece and Rome, including glimpses into Egypt, Mesopotamia, India and China, 'The Oxford Handbook of Science and Medicine in the Classical World' offers an in depth synthesis of science and medicine circa 650 BCE to 650 CE. 0The Handbook comprises five sections, each with a specific focus on ancient science and medicine. The Handbook provides through each of its approximately four dozen essays, a synthesis and synopsis of the concepts and models of the various ancient natural sciences, covering the early Greek era through the fall of the Roman Republic, including essays that explore topics such as music theory, ancient philosophers, astrology, and alchemy.

Author : Karine Chemla
Publisher : Springer Nature
Page : 764 pages
File Size : 42,31 MB
Release : 2023-01-01
Category : Science
ISBN : 3030983617

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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.

Author : Eleanor Robson
Publisher : Oxford University Press
Page : 544 pages
File Size : 49,23 MB
Release : 1999
Category : Mathematics
ISBN : 9780198152460

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Mathematics was integral to Mesopotamian scribal culture: indeed, writing was invented towards the end of the fourth millennium B.C. for the express purpose of recording numericalatical information. The main body of this book is a mathematical and philological discussion of the two hundred technical constants, or "coefficients," found in early second millennium mathematics. Their names and mathematical functions are established, leading to improved interpretations of several large mathematical topics. The origins of many coefficients--and much of the more practical mathematics--are traced to late third millennium accounting and quantity surveying practices. Finally, the coefficients are used to examine some aspects of mathematics education in early Mesopotamia.

Author : Benjamin R Foster
Publisher : World Scientific
Page : 293 pages
File Size : 35,62 MB
Release : 2005-08-04
Category : Political Science
ISBN : 9814480037

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This book is the first authoritative and up-to-date survey of the history of Iraq from earliest times to the present in any language. It presents a concise narrative of the rich and varied history of this land, drawing on political, social, economic, artistic, technological, and intellectual material. It also includes excerpts from works of ancient, medieval, and modern literature written in Iraq, some of which are translated for the first time into English.The final chapters provide an introduction to the history of archaeology in Iraq, set in the wider context of the development of archaeology into a scientific discipline. A special section highlights selected objects from the Iraq Museum, with emphasis on their cultural significance and current status in the aftermath of the looting in April 2003. The last chapter offers a unique guide to the complex international and national legal regimes for the protection of cultural heritage.The American-led invasion and occupation of Iraq are a turning point in Iraq's modern history, with important cultural consequences for all periods of its past. For all who seek to understand more fully the current situation, this book includes discussion of cultural and legal issues of the war and occupation, placing recent events in their full context.

Author : Jöran Friberg
Publisher : Springer Science & Business Media
Page : 544 pages
File Size : 30,83 MB
Release : 2007-07-31
Category : Mathematics
ISBN : 0387345434

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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.

Author : Florence Bretelle-Establet
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 19,94 MB
Release : 2010-06-16
Category : Science
ISBN : 9048136768

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How do Documents Become Sources? Perspectives from Asia and Science Florence Bretelle-Establet From Documents to Sources in Historiography The present volume develops a specific type of critical analysis of the written documents that have become historians’ sources. For reasons that will be explained later, the history of science in Asia has been taken as a framework. However, the issue addressed is general in scope. It emerged from reflections on a problem that may seem common to historians: why, among the huge mass of written documents available to historians, some have been well studied while others have been dismissed or ignored? The question of historical sources and their (unequal) use in historiography is not new. Which documents have been used and favored as historical sources by historians has been a key historiographical issue that has occupied a large space in the historical production of the last four decades, in France at least.