Islamic Astronomy In Sanskrit

This book provides the first presentation of the bilingual textual material that illustrates the transmission of Islamic astronomy to scientists of the Indian Sanskritic tradition. It includes editions of the chapter of the "Tadhkira" in which the mid-thirteenth century Persian astronomer, Nas?r al-d?n al- s? discussed the new solutions that he devised to overcome certain technical problems in the lunar and planetary models of Ptolemaic astronomy and of the learned commentary composed by al-Birjand? in the early sixteenth century together with the Sanskrit translation of both made by Nayanasukha at Jaipur in 1729. An English translation of the Arabic texts and a commentary discussing their technical meanings and the deviations from them in the Sanskrit version together with a glossary of the Arabic and Sanskrit technical vocabulary conclude the volume.

This groundbreaking volume provides an up-to-date, accessible guide to Sanskrit astronomical tables and their analysis. It begins with an overview of Indian mathematical astronomy and its literature, including table texts, in the context of history of pre-modern astronomy. It then discusses the primary mathematical astronomy content of table texts and the attempted taxonomy of this genre before diving into the broad outlines of their representation in the Sanskrit scientific manuscript corpus. Finally, the authors survey the major categories of individual tables compiled in these texts, complete with brief analyses of some of the methods for constructing and using them, and then chronicle the evolution of the table-text genre and the impacts of its changing role on the discipline of Sanskrit jyotiṣa. There are also three appendices: one inventories all the identified individual works in the genre currently known to the authors; one provides reference information about the details of all the notational, calendric, astronomical, and other classification systems invoked in the study; and one serves as a glossary of the relevant Sanskrit terms.

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Illustrations: Numerous Colour Illustrations Description: The volumes of the Project of History of Science, Philosophy and Culture in Indian Civilization aim to discover the central aspects of India's heritage and present them in an interrelated manner. In spite of their unitary look, these volumes recognize the difference between the areas of material civilization and those of ideational culture. The Project is not being executed by a single group of thinkers, methodologically uniform or ideologically identical in their commitments. Rather, contributions are made by different scholars of diverse ideological persuasions and methodological approaches. The Project is marked by what may be called 'methodological pluralism'. In spite of its primarily historical character, this project, both in its conceptualization and execution, has been shaped by scholars drawn from different disciplines. It is the first time that an endeavour of such unique and comprehensive character has been undertaken to study critically a major world civilization. This Volume endeavours to present the perceptible facets of the tradition of astronomy in India : - the torch-bearers of this tradition and their texts; main characteristics of Indian astronomy; scientific approach to the phenomenon of eclipse; pancanga and its social dimensions including the vrata-s, festivals and other observances; origin of astrological ideas, their seeming links with astronomy and certain contradictions; extensive computations concerning planetary revolutions in a huge cyclic period, mean as well as true positions of planets and associated mathematical aspects. In order to have the narrative undisturbed, the related mathematical astronomy has been given in the Appendices. Computations apart, Indian astronomers were keen observers of the motions of celestial bodies and used several instruments, and this aspect has been dealt with appropriately. The question of transmissions in the early centuries before and after the Christian Era vis-a-vis the originality and endogenous developments of Indian astronomy, has been addressed in an objective manner. Since Islamic astronomy has also fostered its tradition in India for over 500 years, three articles on this have been reproduced in the Appendices. Indian astronomical texts are noted for their mathematical-astronomical scientific terminology which was so standardized that it enabled astronomers (who were separated both in time and space), to articulate and promote this tradition over the centuries, as evidenced by the extensive glossary of technical terms given at the end. It is hoped that this Volume, probably the first of its kind inasmuch as it sheds light on both the scientific and the long tradition of Indian astronomy, will be found useful by scholars and general readers alike.

The source material for the study of medieval oriental astronomy consists of Byzantine Greek, Sanscrit, Hebrew, Arabic, Persian, and Turkish astronomical and astrological manuscripts. If one desires to build up a detailed picture of Islamic astronomy, one can choose material from these available manuscripts. Of these manuscripts it is possible to isolate a group of works, the "zijes". A "zij" consists of the numerical tables and accompanying explanation sufficient to measure time and to compute planetary and stellar positions, appearance, and eclipses. This paper is a survey of the number, distribution, contents, and relations between "zijes" written in Arabic or Persian during the period from the 8th through the 15th centuries. Illustrations. Oversize.

This volume of 12 studies, mainly published during the past 15 years, begins with an overview of the Islamic astronomy covering not only sophisticated mathematical astronomy and instrumentation but also simple folk astronomy, and the ways in which astronomy was used in the service of religion. It continues with discussions of the importance of Islamic instruments and scientific manuscript illustrations. Three studies deal with the regional schools that developed in Islamic astronomy, in this case, Egypt and the Maghrib. Another focuses on a curious astrological table for calculating the length of life of any individual. The notion of the world centred on the sacred Kaaba in Mecca inspired both astronomers and proponents of folk astronomy to propose methods for finding the qibla, or sacred direction towards the Kaaba; their activities are surveyed here. The interaction between the mathematical and folk traditions in astronomy is then illustrated by an 11th-century text on the qibla in Transoxania. The last three studies deal with an account of the geodetic measurements sponsored by the Caliph al-Ma'mûn in the 9th century; a world-map in the tradition of the 11th-century polymath al-Bîrûnî, alas corrupted by careless copying; and a table of geographical coordinates from 15th-century Egypt.

Recent historical research and new perspectives on the Islamic scientific tradition.

A timely exploration of the numerical tables genre in pre-modern science, focusing on the previously unpublished 17th-century Indian astronomical table text Brahmatulyasāraṇī. Includes critical edition, English translation, and thorough technical/ historical commentary analysing the content and background of the work.