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Mathematics. --- Mathematics, general. --- Hindu astronomy --- Math --- Science
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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"--
Hindu astronomy. --- Astronomy --- Astronomy, Ancient. --- Ancient astronomy --- Astronomy, Hindu --- History
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The Jewel of Annual Astrology is an encyclopaedic treatise on Tājika or Sanskritized Perso-Arabic astrology, dealing particularly with the casting and interpretation of anniversary horoscopes. Authored in 1649 CE by Balabhadra Daivajña, court astrologer to Shāh Shujāʿ – governor of Bengal and second son of the Mughal emperor Shāh Jahān – it casts light on the historical development of the Tājika school by extensive quotations from earlier works spanning five centuries. With this first-ever scholarly edition and translation of a Tājika text, Martin Gansten makes a significant contribution not only to the study of an important but little known knowledge tradition, but also to the intellectual historiography of Asia and the transmission of horoscopic astrology in the medieval and early modern periods.
Intellectuals --- Historiography. --- Intelligentsia --- Persons --- Social classes --- Specialists --- Fortune-telling & divination --- Hindu astrology. --- Hindu astronomy.
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Tantrasaṅgraha, composed by the renowned Kerala astronomer Nīlakaṇtha Somayaji (c. 1444–1545 CE) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is the introduction of a major revision of the traditional planetary models which includes 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. Several important innovations in mathematical technique are also to be found in Tantrasaṅgraha, especially related to the computation of accurate sine tables, the use of series for evaluating the sine and cosine functions, and a systematic treatment of the problems related to the diurnal motion of the celestial objects. The spherical trigonometry relations presented in the text—applied to a variety of problems such as the computation eclipses, elevation of the moon’s cusps and so forth—are also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasaṅgraha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatīpāta, reduction to observation and elevation of the moon’s cusps—and 432 verses. All the verses have been translated into English and are supplemented with detailed explanations including all mathematical relations, figures and tables using modern mathematical notation. This edition of Tantrasaṅgraha will appeal to historians of astronomy as well as those who are keen to know about the actual computational procedures employed in Indian astronomy. It is a self-contained text with several appendices included, enabling the reader to comprehend the subject matter without the need for further research.
Hindu astronomy -- History. --- Hindu astronomy. --- Hindu astronomy --- Hindu mathematics --- Somayaji, Nilakantha, --- Mathematics, Hindu --- Kelallur Nilakantha Somayaji, --- K.N.S., --- Mathematics. --- History. --- Observations, Astronomical. --- Astronomy --- History of Mathematical Sciences. --- Astronomy, Observations and Techniques. --- Observations. --- Mathematics --- Astronomy—Observations. --- Astronomical observations --- Observations, Astronomical --- Annals --- Auxiliary sciences of history --- Math --- Science
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In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya. An english translation of Bhaskara’s commentary and a mathematical supplement are presented in two volumes. Subjects treated in Bhaskara’s commentary range from computing the volume of an equilateral tetrahedron to the interest on a loaned capital, from computations on series to an elaborate process to solve a Diophantine equation. This volume contains explanations for each verse commentary translated in Volume 1. These supplements discuss the linguistic and mathematical matters exposed by the commentator. Particularly helpful for readers are an appendix on Indian astronomy, elaborate glossaries, and an extensive bibliography.
Aryabhata. --- Hindu astronomy. --- Mathematics, Hindu. --- History - General --- Mathematics - General --- Mathematics --- History & Archaeology --- Physical Sciences & Mathematics --- Hindu astronomy --- Hindu mathematics --- Āryabhaṭa, --- Mathematics, Hindu --- History. --- Mathematics. --- Astronomy. --- Astrophysics. --- Cosmology. --- History of Science. --- History of Mathematical Sciences. --- Astronomy, Astrophysics and Cosmology. --- Annals --- Auxiliary sciences of history --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Math --- Science
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In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya. An english translation of Bhaskara’s commentary and a mathematical supplement are presented in two volumes. Subjects treated in Bhaskara’s commentary range from computing the volume of an equilateral tetrahedron to the interest on a loaned capital, from computations on series to an elaborate process to solve a Diophantine equation. This volume contains an introduction and the literal translation. The introduction aims at providing a general background for the translation and is divided in three sections: the first locates Bhaskara’s text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the treatise.
Hindu mathematics --- Hindu astronomy --- Āryabhaṭa, --- Mathematics, Hindu --- Mathematics --- History. --- Astronomy. --- History of Science. --- History of Mathematical Sciences. --- Astronomy, Astrophysics and Cosmology. --- Annals --- Auxiliary sciences of history --- Mathematics. --- Astrophysics. --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Math --- Science
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Karaṇapaddhati of Putumana Somayājī is an important text of the Kerala School of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karaṇapaddhati, however, is not a karaṇa text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karaṇa text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker. Karaṇapaddhati presents the theoretical basis for the vākya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khaṇḍa, maṇḍala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form vākyas or mnemonic phrases. The text also discusses the method of vallyupasaṃhāra which is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for π which is not mentioned in the earlier works of the Kerala School. As this is a unique text presenting the rationale behind the vākya system and the computational procedures used in the karaṇa texts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.
Hindu astronomy. --- Mathematics. --- History. --- Observations, Astronomical. --- Astronomy --- History of Mathematical Sciences. --- Astronomy, Observations and Techniques. --- Observations. --- Astronomical observations --- Observations, Astronomical --- Annals --- Auxiliary sciences of history --- Math --- Science --- Astronomy, Hindu --- Astronomy—Observations.
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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.
Hindu astronomy --- Astronomy, Hindu --- Astronomy --- Asia-History. --- History of Mathematical Sciences. --- Astronomy, Observations and Techniques. --- History of South Asia. --- Mathematics. --- History. --- Observations, Astronomical. --- Astronomy—Observations. --- Asia—History. --- Astronomical observations --- Observations, Astronomical --- Annals --- Auxiliary sciences of history --- Math --- Science
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This book presents the basic fundamentals of descriptive archaeoastronomy and its application to the astronomical descriptions found in ancient Indian scriptures. Archaeoastronomy is a branch of positional astronomy that helps to determine the epochs of ancient astronomical alignments and special astronomical events. In this book, only the descriptions of special stellar alignments and events found in ancient texts can identify the antiquity of the descriptions. India possesses a large volume of ancient scriptures like Vedas and Puranas which contain many astronomical descriptions as in ancient India positional astronomy was well developed. The antiquities of these texts are determined through archaeoastronomical techniques. Major events like Mahabharata War are dated and using these dates a chronology of ancient India is determined. The astronomically determined chronology is compared with the results from various archaeological, palaeoclimatological, geological and genealogical investigations of ancient India. This introductory book interests readers interested in unveiling the mystery involved with the protohistory of this ancient civilization.
Observations, Astronomical. --- Astronomy—Observations. --- History. --- Historiography. --- Cosmology. --- Astronomy, Observations and Techniques. --- History of Science. --- Historiography and Method. --- Astronomy --- Deism --- Metaphysics --- Historical criticism --- History --- Authorship --- Annals --- Auxiliary sciences of history --- Astronomical observations --- Observations, Astronomical --- Criticism --- Historiography --- Archaeoastronomy --- Hindu astronomy. --- History of science. --- Astronomy, Hindu --- Archeoastronomy --- Astroarchaeology --- Astronomy, Prehistoric --- Prehistoric astronomy
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