Cultures Of Computation And Quantification In The Ancient World
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Cultures of Computation and Quantification in the Ancient World
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.
Mathematics, Administrative and Economic Activities in Ancient Worlds
This book focuses on the ancient Near East, early imperial China, South-East Asia, and medieval Europe, shedding light on mathematical knowledge and practices documented by sources relating to the administrative and economic activities of officials, merchants and other actors. It compares these to mathematical texts produced in related school contexts or reflecting the pursuit of mathematics for its own sake to reveal the diversity of mathematical practices in each of these geographical areas of the ancient world. Based on case studies from various periods and political, economic and social contexts, it explores how, in each part of the world discussed, it is possible to identify and describe the different cultures of quantification and computation as well as their points of contact. The thirteen chapters draw on a wide variety of texts from ancient Near East, China, South-East Asia and medieval Europe, which are analyzed by researchers from various fields, including mathematics, history, philology, archaeology and economics. The book will appeal to historians of science, economists and institutional historians of the ancient and medieval world, and also to Assyriologists, Indologists, Sinologists and experts on medieval Europe.
Shaping the Sciences of the Ancient and Medieval World
This book contributes to a worldwide history of textual criticism and critical editions of ancient scientific texts. It first looks at ancient editorial practices, and at their impact on modern editions. Contributions analyze how, through time, the perception of what a text was may have changed, and influenced how scholarly texts were made accessible. The second section looks at the historical, political and social contexts within which editions and translations of ancient scientific texts were produced. Finally, the last two parts examine the specificities of editions and translations that bore on scholarly documents. Not only is there a focus on how the elements specific to scientific texts—such as diagrams and numbers—were treated, but case studies analyzing the specific work carried out to edit mathematical and astronomical texts of the past are also offered to the reader. The scholarship displayed in this work lays the foundation for further studies on the history of critical editions and raises questions to those who make scholarly translations and critical editions today.