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This book presents a novel methodology to study economic texts. The author investigates discrepancies in these writings by focusing on errors, mistakes, and rounding numbers. In particular, he looks at the acquisition, use, and development of practical mathematics in an ancient society: The Old Babylonian kingdom of Larsa (beginning of the second millennium BCE Southern Iraq). In so doing, coverage bridges a gap between the sciences and humanities. Through this work, the reader will gain insight into discrepancies encountered in economic texts in general and rounding numbers in particular. They will learn a new framework to explain error as a form of economic practice. Researchers and studen...
How do Documents Become Sources? Perspectives from Asia and Science Florence Bretelle-Establet From Documents to Sources in Historiography The present volume develops a specific type of critical analysis of the written documents that have become historians’ sources. For reasons that will be explained later, the history of science in Asia has been taken as a framework. However, the issue addressed is general in scope. It emerged from reflections on a problem that may seem common to historians: why, among the huge mass of written documents available to historians, some have been well studied while others have been dismissed or ignored? The question of historical sources and their (unequal) use in historiography is not new. Which documents have been used and favored as historical sources by historians has been a key historiographical issue that has occupied a large space in the historical production of the last four decades, in France at least.
The reports of a conference of 11 scholars who began the task of examing together primary sources that might shed som elight on exactly how and in what fomrs mathematical problems, concepts, and techniques may have been transmitted between various civilizations, from antiquity down to the European Renaissance following more or less the legendary silk routes between China and Western Europe.
This is the first book-length analysis of the techniques and procedures of ancient mathematical commentaries. It focuses on examples in Chinese, Sanskrit, Akkadian and Sumerian, and Ancient Greek, presenting the general issues by constant detailed reference to these commentaries, of which substantial extracts are included in the original languages and in translation, sometimes for the first time. This makes the issues accessible to readers without specialized training in mathematics or in the languages involved. The result is a much richer understanding than was hitherto possible of the crucial role of commentaries in the history of mathematics in four different linguistic areas, of the nature of mathematical commentaries in general, of the contribution that the study of mathematical commentaries can make to the history of science and to the study of commentaries in general, and of the ways in which mathematical commentaries are like and unlike other kinds of commentaries.
The chapters in this volume were originally presented in the panels on Scientific Literature at the 12th World Sanskrit Conference in Helsinki, Finland. They represent some of the most up-to-date scholarship on the history of early science in India being done today. The first part of the book focusses on the history of mathematical commentaries and the role of illustration in sanskrit mathematical manuscripts. The second part of the book investigates fundamental ayurvedic theories, ayurvedic rites for childbirth, the cultural history of medicine in the Early Modern period, the anthropology of spirit of one of the oldest surviving ayurvedic texts. This book will be of interest to historians of science, students of classical Indian history and culture, and anyone wanting to know where the cutting edge of the history of early Indian science is today.
Throughout history, manuscripts have been made and used for religious, artistic, and scientific performances, and this practice continues in most cultures today. By focusing on the role manuscripts have in different kinds of performances, this volume contributes to the evolving field of investigating written artefacts and their functions. The collected essays regard manuscripts as points of intersection where textual, material, and performative aspects converge. The contributors analyse manuscripts in their forms and functions as well as their positioning in the performances for which they were made. These aspects unfold across the volume's three sections, examining how manuscripts are (1) used backstage, for preparing and giving instructions for performances; (2) taken onstage, contributing to the enactment of performances; and (3) performers in their own right, producing an effect on the audience. The diversified, interdisciplinary, and innovative methodologies of the included papers carry great potential to expand the traditional approaches of manuscript studies and find application outside the contributors' respective fields.
Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.
This volume is distinctive for its extraordinarily interdisciplinary investigations into a little discussed topic, the spatial imagination. It probes the exercise of the spatial imagination in pre-modern China across five general areas: pictorial representation, literary description, cartographic mappings, and the intertwining of heavenly and earthly space. It recommends that the spatial imagination in the pre-modern world cannot adequately be captured using a linear, militarily framed conceptualization. The scope and varying perspectives on the spatial imagination analyzed in the volume’s essays reveal a complex range of aspects that informs how space was designed and utilized. Due to the complexity and advanced scholarly level of the papers, the primary readership will be other scholars and advanced graduate students in history, history of science, geography, art history, religious studies, literature, and, broadly, sinology.
This book deals with a topic that has been largely neglected by philosophers of science to date: the ability to refer and analyze in tandem. On the basis of a set of philosophical case studies involving both problems in number theory and issues concerning time and cosmology from the era of Galileo, Newton and Leibniz up through the present day, the author argues that scientific knowledge is a combination of accurate reference and analytical interpretation. In order to think well, we must be able to refer successfully, so that we can show publicly and clearly what we are talking about. And we must be able to analyze well, that is, to discover productive and explanatory conditions of intelligi...
Hindu Diasporas presents the histories and religious traditions of Hindus with a South Asian ancestral background living outside of South Asia. Hinduism is a global religion with a significant presence in many countries throughout the world. The most important cause of this global expansion is migration. This book presents and analyses the most important of the geographies, migration histories, religious traditions and developments, rituals, places, institutions, and representations of Hinduism in the diasporas, capturing some of the great plurality of Hindu religious traditions. The first part of the book concentrates on the major regions in the world in which Hindu diasporas are found. The...