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Multi
Mathematics in India
Author:
ISBN: 9781400834075 9780691120676 1400834074 128264498X 9781282644984 0691120676 Year: 2009 Publisher: Princeton Princeton University Press

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Abstract

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).

Keywords

Mathematics --- HIstory.


Book
Sanskrit Astronomical Tables
Authors: ---
ISBN: 3319970372 3319970364 Year: 2018 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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.


Digital
Sanskrit Astronomical Tables
Authors: ---
ISBN: 9783319970370 Year: 2018 Publisher: Cham Springer International Publishing

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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.


Book
The Sanskrit astronomical table text Brahmatulyasāraṇī
Authors: --- ---
ISBN: 9004432221 9004431411 9789004432222 9789004431416 Year: 2020 Publisher: Leiden Boston

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"The 17th-century Brahmatulyasāraṇīis a rich repository of information about Indian mathematical astronomy and its genres of scientific writing in Sanskrit. This painstaking critical edition, translation, and technical analysis of the work includes detailed technical background about its content and relation to the seminal 12th-century astronomical handbook Karaṇakutūhala. This book explores important contextual information about the role and study of numerical tables in pre-modern astronomy, as well as the many challenges arising from critically editing numerical data in the Indian astral sciences"--


Digital
A cultural history of mathematics in the Medieval Age
Authors: --- ---
ISBN: 9781350062948 9781350294790 9781350294783 9781350294806 Year: 2024 Publisher: London Bloomsbury Academic

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The Mathematics of Egypt, Mesopotamia, China, India, and Islam : A Sourcebook
Authors: --- --- --- ---
ISBN: 9780691235394 Year: 2021 Publisher: Princeton, N.J. Princeton University Press

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Keywords

Mathematics


Book
The Mathematics of Egypt, Mesopotamia, China, India, and Islam
Authors: --- --- --- --- --- et al.
ISBN: 9780691235394 Year: 2021 Publisher: Princeton, NJ

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Book
Aestimatio: Critical Reviews in the History of Science (Volume 2)

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Digital
Aestimatio: Critical Reviews in the History of Science (Volume 2)

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