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, merch

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Cécile Michel Karine Chemla   Editors

Mathematics, Administrative and Economic Activities in Ancient Worlds

Why the Sciences of the Ancient World Matter Volume 5

Series Editors Karine Chemla, Laboratoire SPHERE UMR 7219, Université de Paris—CNRS, Paris, France Agathe Keller, Laboratoire SPHERE UMR 7219, Université de Paris—CNRS, Paris, France Christine Proust, Laboratoire SPHERE UMR 7219, Université de Paris—CNRS, Paris, France

The book series provides a platform for the publication of studies on sciences in the ancient worlds that bring innovative methods into play and address new theoretical issues. It is predicated on the conviction that the history of ancient sciences raises theoretical questions and requires new methodologies in a way that can inspire many other fields. For instance, with the help of innovative methods, ancient mathematical documents allow us to shed a unique light on the manuscript cultures, in the context of which they were composed. Such research is essential to offer new ways of interpreting our sources. Ancient mathematical documents also offer new types of evidence allowing historians of ancient economies to develop new forms of analysis and tread new ground. Ancient mathematical sources from all parts of the world compel us to rethink notions such as quantities, numbers, and measurement units, in ways that reopen these questions for the History and Philosophy of Science at large. More generally, the book series aims to show how ancient science can be a vector pollinating research in anthropology, linguistics, science education, and other fields in the humanities. This book series thus intends to publish books that contribute to building bridges between the history of sciences in the ancient worlds and other fields, and highlight how ancient sciences offer resources to raise new questions, and develop new methods in other domains. Such new methods invite critical reflection not only on past historical research, which the book series also intends to promote, but also vis-à-vis present-day uses of ancient science in various forums.

More information about this series at http://www.springer.com/series/15657

Cécile Michel Karine Chemla •

Editors

Mathematics, Administrative and Economic Activities in Ancient Worlds

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Editors Cécile Michel CNRS, Paris 1 Panthéon-Sorbonne, Université Paris Nanterre, Ministère de la Culture ArScAn, UMR 7041 Nanterre, France

Karine Chemla CNRS, Université de Paris - Paris Diderot SPHERE, UMR 7219 Paris, France

ISSN 2662-9933 ISSN 2662-9941 (electronic) Why the Sciences of the Ancient World Matter ISBN 978-3-030-48388-3 ISBN 978-3-030-48389-0 (eBook) https://doi.org/10.1007/978-3-030-48389-0 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcas