Studies In Indian Mathematics And Astronomy
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Studies In Indian Mathematics And Astronomy
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Author : Aditya Kolachana
language : en
Publisher: Springer
Release Date : 2019-05-29
Studies In Indian Mathematics And Astronomy written by Aditya Kolachana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-29 with Mathematics categories.
This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.
Mathematics In India
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Author : Kim Plofker
language : en
Publisher: Princeton University Press
Release Date : 2008-12-29
Mathematics In India written by Kim Plofker and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
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).
Sanskrit Astronomical Tables
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Author : Clemency Montelle
language : en
Publisher: Springer
Release Date : 2019-03-07
Sanskrit Astronomical Tables written by Clemency Montelle and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-07 with Mathematics categories.
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.
The Mathematics Of India
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Author : P. P. Divakaran
language : en
Publisher: Springer
Release Date : 2018-09-19
The Mathematics Of India written by P. P. Divakaran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Mathematics categories.
This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.
Studies In The History Of The Exact Sciences In Honour Of David Pingree
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Author : Jan P. Hogendijk
language : en
Publisher: BRILL
Release Date : 2004-02-01
Studies In The History Of The Exact Sciences In Honour Of David Pingree written by Jan P. Hogendijk and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-01 with Philosophy categories.
This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Indian Astronomy
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Author : S. Balachandra Rao
language : en
Publisher: Universities Press
Release Date : 2000
Indian Astronomy written by S. Balachandra Rao and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Hindu astronomy categories.
History Of Indian Astronomy The Siamese Manuscript
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Author : Anil Narayanan
language : en
Publisher: Lulu.com
Release Date : 2019-03-08
History Of Indian Astronomy The Siamese Manuscript written by Anil Narayanan and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-08 with History categories.
The Siamese Manuscript holds the distinction of being the very first document relating to Indian Astronomy to reach Europe in a pristine form. Some fragments of Indian Astronomy had undoubtedly reached Europe in earlier times, but those tidbits were likely received in a highly altered form due to difficulties in translation, and the so-called cultural barrier. The Siamese Manuscript helped overcome this barrier by being a compendium of Indian astronomical knowledge in plain Siamese. The timing of the arrival of the manuscript in Europe was significant. After a couple hundred years the Renaissance was finally bearing fruit, and European intellectual prowess was at a peak. The deeper principles of Indian Astronomy, which had gone over the heads of the Greeks and the Arabs who first encountered them, could now be fully understood and appreciated for the first time by people outside India.
Body And Cosmos
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Author : Toke Lindegaard Knudsen
language : en
Publisher: BRILL
Release Date : 2020-10-26
Body And Cosmos written by Toke Lindegaard Knudsen and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-26 with Medical categories.
Body and Cosmos is a collection of articles published on the occasion of the 70th birthday of Professor Emeritus Kenneth G. Zysk. The articles revolve thematically around the early Indian medical and astral sciences, which have been at the center of Professor Zysk’s long and esteemed career within the discipline of Indology. The volume is divided into three parts. The first part is devoted to the medical sciences, the second part to the astral sciences, and the third part to cross-cultural interactions between India and the West, which runs like an undercurrent throughout the work of Professor Zysk. The articles are written by internationally renowned Indological scholars and will be of value to students and researchers alike.
L L Vat Of Bh Skar C Rya
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Author : Bhāskarācārya
language : en
Publisher: Motilal Banarsidass Publ.
Release Date : 2001
L L Vat Of Bh Skar C Rya written by Bhāskarācārya and has been published by Motilal Banarsidass Publ. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
In 1150 AD, Bhaskaracarya (b. 1114 AD), renowned mathematician and astronomer of Vedic tradition composed Lilavati as the first part of his larger work called Siddhanta Siromani, a comprehensive exposition of arithmetic, algebra, geometry, mensuration, number theory and related topics. Lilavati has been used as a standard textbook for about 800 years. This lucid, scholarly and literary presentation has been translated into several languages of the world. Bhaskaracarya himself never gave any derivations of his formulae. N.H. Phadke (1902-1973) worked hard to construct proofs of several mathematical methods and formulae given in original Lilavati. The present work is an enlargement of his Marathi work and attempts a thorough mathematical explanation of definitions, formulae, short cuts and methodology as intended by Bhaskara. Stitches are followed by literal translations so that the reader can enjoy and appreciate the beauty of accurate and musical presentation in Lilavati. The book is useful to school going children, sophomores, teachers, scholars, historians and those working for cause of mathematics.
Studies In The History Of Indian Mathematics
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Author : C. S. Seshadri
language : en
Publisher: Springer
Release Date : 2010-08-15
Studies In The History Of Indian Mathematics written by C. S. Seshadri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-15 with Mathematics categories.
This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.