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The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.
This edited book is an outcome of the International Conference on ‘India and Iran in Contemporary Relations’, organized by the Centre for Indian Ocean Studies, Osmania University in cooperation with the Iran Consulate General at Hyderabad in India in November 2013. The book addresses the India-Iran bilateral relations dating back to the beginning of the Indo-Aryan civilization in the 7th Century B.C. to the current global controversy over the Iranian nuclear programme and India’s stand on the issue of sanctions imposed by the United States. The book highlights besides economic and commercial ties, the strong cultural relations. The volume analyses in depth the new areas of cooperation and conflict, the extra regional powers, energy and nuclear security and economic and trade cooperation. This book will be of considerable interest to students and scholars of international relations, sociology, politics and economics.
Zusammenfassung: The book, divided into two major parts, discusses the evolution of the concept and symbols of zero and the history of pi. Both the topics are discussed from the Neolithic Age to the nineteenth century. The book also clears the assumption that Johann Heinrich Lambert (AD 1761) only invented the irrationality of pi by crediting Lambert jointly with André Marie Legendre (AD 1794). Part 1, consisting of six stages spread in six chapters, meets a challenge to the authors as eminent scholars of the history of mathematics have diverse opinions based on conjectures. This part primarily discusses how the symbol O, in the Vedic religious practices, considered a replica of the universe prescribed for meditation on the unknown Brahman (conceived of as the space supreme in the Upanishads), was later transcended to the symbol of an unknown quantity in mathematics along with a dot for zero in an arena of atheism. It also highlights how the zero notation and the decimal system of Indian numerals embellished with the algebraic thoughts of Brahmagupta passed on to China and Europe via Arabia. Topics in this part have traced the development from the origin to the final form as seen today after the western practice and try to put an end to the long-standing debate over history. Appendices contain the Sanskrit verses (transliterated with meanings into English) along with the essential mathematical deduction referred to in the body of the part to help the reader to have a better understanding. Part 2 speaks of a novel idea of unveiling the nature of pi interwoven with threads of historical ups and downs in the world scenario. This part, containing five chapters, collects all available up-to-date data in every field of history to make the presentation complete in all respects. This part discusses the origin of the definition of pi as the rim of a wheel is thrice its diameter at the Indus Valley in the fourth millennium BC. This part also discusses the enlightenment of China in circle-squaring (classical method), Indian mathematics with astronomical knowledge along the Buddhist channel, and India's discovering circumference/diameter as a non-Euclidean number
Papers presented at the International Conference on the Vitality of India in the Regional and International Perspectives, held at Chandigarh 23rd June, Shimla 24-27 June and New Delhi on 28th June 2004.
Alexus McLeod explores every aspect of the lesser-known history of astronomy in the Americas (Mesoamerica and North America), China and India, each through the frame of a particular astronomical phenomena. Part One considers the development of astronomy in the Americas as a response, in part, to the Supernova of 1054, which may have led to a cultural renaissance in astronomy. He then goes on to explore the contemporary understanding of supernovae, contrasting it with that of the ancient Americas. Part Two is framed through the appearances of great comets, which had major divinatory significance in early China. The author discusses the advancement of observational astronomy in China, its influence on politics and its role in the survival or failure of empires. Furthermore, the contemporary understanding of comets is also discussed for comparison. Part Three, on India, considers the magnificent observatories of the Rajput king Jai Singh II, and the question of their purpose. The origins of Indian astronomy are examined in Vedic thought and its development is followed through the period of Jai Singh, including the role played by solar eclipses. The author also includes a modern explanation of our understanding of eclipses to date. In the final section of the book, McLeod discusses how ancient traditions might help modern civilization better understand Earth’s place in the cosmos.
Numbers: A Cultural History provides students with a compelling interdisciplinary view of the development of mathematics and its relationship to world cultures over 4,500 years of human history. Mathematics is often referred to as a "universal language," and that is a fitting description. Many cultures have contributed to mathematics in fascinating ways, but despite its "universal" character, mathematics is also a human endeavor. It has played pivotal roles in societies at particular times; and it has influenced, and been influenced by, a wide range of ideas and institutions, from commerce to philosophy. Ancient Egyptian views of mathematics, for example, are tied closely to engineering and agriculture. Some European Renaissance views, on the other hand, relate the study of number to that of the natural world. Numbers, A Cultural History seeks to place the history of mathematics into a broad cultural context. While it treats mathematical material in detail, it also relates that material to other subject matter: science, philosophy, navigation, commerce, religion, art, and architecture. It examines how mathematical thinking grows in specific cultural settings and how it has shaped those settings in turn. It also explores the movement of ideas between cultures and the evolution of modern mathematics and the quantitative, data-driven world in which we live.
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).
Following the devastating Mongol conquest of Baghdad in 1258, the domination of the Abbasids declined leading to successor polities, chiefly among them the Ilkhanate in Greater Iran, Iraq and the Caucasus. Iranian cultural identities were reinstated within the lands that make up today's Iran, including the area of greater Khorasan. The Persian language gained unprecedented currency over Arabic and new buildings and manuscripts were produced for princely patrons with aspirations to don the Iranian crown of kingship. This new volume in “The Idea of Iran” series follows the complexities surrounding the cultural reinvention of Iran after the Mongol invasions, but the book is unique capturing not only the effects of Mongol rule but also the period following the collapse of Mongol-based Ilkhanid rule. By the mid-1330s the Ilkhanate in Iran was succeeded by alternative models of authority and local Iranian dynasties. This led to the proliferation of diverse and competing cultural, religious and political practices but so far scholarship has neglected to produce an analysis of this multifaceted history in any depth. Iran After the Mongols offers new and cutting-edge perspectives on what happened. Analysing the fourteenth century in its own right, Sussan Babaie and her fellow contributors capture the cultural complexity of an era that produced some of the most luminous masterpieces in Persian literature and the most significant new building work in Tabriz, Yazd, Herat and Shiraz. Featuring contributions by leading scholars, this is a wide-ranging treatment of an under-researched period and the volume will be essential reading for scholars of Iranian Studies and Middle Eastern History.