Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.

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.

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.

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.

Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.

What is mathematics, and what aspects of it should be taught in schools? How and to whom should it be taught, and how should its understanding be assessed? These questions continue to drive curriculum development, school organization, teaching methods, and research agendas. No one today doubts that mathematics should be taught in our schools, but this was not always so. Mathematics Education Across Time and Place aims to help mathematics teachers, teacher educators, and anyone else interested in mathematics education appreciate the path this discipline has taken through the ages. To understand the historical and social context for schools and the place of mathematics within them, we meet a variety of mathematics educators from different times and places. Though fictional, their lives and social circumstances are based on historical documents and professional sources. They range from ancient Greece to modern Zimbabwe; from Persia to British Columbia; from Islamic Baghdad to revolutionary Paris; from Elizabethan England to twentieth-century New York; and from the rural one-room schools of North America to the modern comprehensive secondary school. By sharing the teachers' lives, we come to understand how they developed their love for teaching mathematics, and how their work fit into the larger social context of their time.

The books contains biographies and bibliographies of some forty leading women mathematicians. The majority of the essays were written by women who are themselves mathematicians. The work explores the barriers that have been faced over the years by the few successful women in higher mathematics.

Develops world contributions to mathematics, from the inception of numbers and geometry to modern probability and Bourbaki's mathematics.