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In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. Volume 1 of this work was an English translation of Bhaskara’s commentary, and this volume contains explanations for each verse commentary translated in volume 1.
The volume discusses co-authorship in literature, sciences and art from a historical, comparative, cross-cultural and interdisciplinary perspective. The contributions focus on texts from India, early China, the Middle East, Graeco-Roman antiquity, Humanism, the Early Modern Period and modern poetry. They discuss how the pluralization of authorship changes the relation between authors and texts, how transdisciplinary factors such as media change, economic aspects, gender-specific expectations and cultural techniques influence the perception and reception of co-authorship, and how processes such as inspiration, consultation, discussion, encouragement and criticism contribute to the creation, development and completion of (art) works in co-authorship.
This volume demonstrates how literacy is more than learning to read and write. Literacy creates communities, organizes personal and social lives, makes possible civil society and the rule of law, and underwrites the commitment of both modern and developing societies to universal education and ever higher levels of literate competence. Everything that is involved in being and becoming literate is the concern of this interdisciplinary group of distinguished scholars.
The history of mathematics education is an interdisciplinary research area that is experiencing a significant development and this book presents recent work in this area. This book is the result of the seventh conference ICHME (International Conference on the History of Mathematics Education) that took place at Erbacher Hof, Mainz (Germany) from 19th to 23rd of September 2022. Nowadays, the history of education is of the utmost importance for assessing the general development of the educational system(s) in which mathematics education occurs. Usually, the history of education is confined to history within a given civilization, country or nation. However, the quality of the research for a given nation is enhanced when situated among various specific cases, and comparative studies provide essential tools to broaden the perspectives to an international level. Moreover, mathematics, as a school discipline, has always functioned at the crossroads between general education and professional training, thus relating its teaching history to professional working environments as well. The 24 chapters in this book reflect this wide area of research.
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This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
This book explores the hypothesis that the types of inscription or text used by a given community of practitioners are designed in the very same process as the one producing concepts and results. The book sets out to show how, in exactly the same way as for the other outcomes of scientific activity, all kinds of factors, cognitive as well as cultural, technological, social or institutional, conjoin in shaping the various types of writings and texts used by the practitioners of the sciences. To make this point, the book opts for a genuinely multicultural approach to the texts produced in the context of practices of knowledge. It is predicated on the conviction that, in order to approach any t...