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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.
This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script.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.
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.
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.
This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.
This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception. During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity; and the writing of the history of mathematics played into the last part in particular. Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both a new professional identity and changes in its primary audience, various shifts of perspective in the way the history of mathematics was and is written can still be observed to this day. Initially concentrating on major internal, universal developments in certain sub-disciplines of mathematics, the field gradually gravitated towards a focus on contexts of knowledge production involving individuals, local practices, problems, communities, and networks. The goal of this book is to link these disciplinary and methodological changes in the history of mathematics to the broader cultural contexts of its practitioners, namely the historians of mathematics during the period in question.
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.
The Ancient Near East embraces a vast geographical area, from the borders of Iran and Afghanistan in the east to the Levant and Anatolia, and from the Black Sea in the north to Egypt in the south. It was a region of enormous cultural, political and linguistic diversity. In this authoritative new study, Amélie Kuhrt examines its history from the earliest written documents to the conquest of Alexander the Great, c.3000-330 BC. This work dispels many of the misapprehensions which have surrounded the study of the region. It provides a lucid, up-to-date narrative which takes into account the latest archaeological and textual discoveries and deals with the complex problems of interpretation and methodology. The Ancient Near East is an essential text for all students of history of this region and a valuable introduction for students and scholars working in related subjects. Winner of the AHO's 1997 James Henry Breasted Award.
A single-authored two-volume work which makes no claims to comprehensiveness, but selectively treats periods and areas usually studied in universities (treatment of Egypt is brief because of the availability of studies of Egyptian history at all levels). It is intended as an introduction to ancient Near Eastern history, to the main sources used for reconstructing societies and political systems, and to some historical problems and scholarly debates. The area discussed extends from Turkey (Anatolia) and Egypt in the west through the Levant (which includes Israel, Lebanon, Jordan, and Syria west of the Euphrates) to Mesopotamia into Iran. Volume I covers c.3000 BC to c.1200 BC; volume II, 1200 BC to 330 BC. The author is a Reader in Ancient History at University College London. Annotation copyright by Book News, Inc., Portland, OR.
The contents of this book cover the history of mathematics, the beginnings of written mathematics, Egyptian and Mesopotamian mathematics, special topics in Chinese mathematics, and much more.