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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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Hindu astronomy --- Astronomy, Chinese --- Astronomy, Arab --- -Astronomy, Chinese --- -Astronomy, Hindu --- Astronomy --- Arab astronomy --- Astronomy, Arabic --- Chinese astronomy --- Congresses --- -Congresses --- Astronomy, Hindu --- Hindu astronomy - Congresses --- Astronomy, Chinese - Congresses --- Astronomy, Arab - Congresses

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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 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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Hindu astronomy --- Manuscripts, Sanskrit --- History --- Jai Singh --- Mahārājā Mānashimha Pustaka Prakāśa --- 091 <540 JAIPUR> --- 091 =912 --- 091:52 --- 52 --- 091 <017.2 JAYASIMHA> --- Handschriftenkunde. Handschriftencatalogi--India--JAIPUR --- Handschriftenkunde. Handschriftencatalogi--Oudindisch. Sanskriet --- Handschriften i.v.m. astronomie-- Zie ook: {091:133.52} --- Astronomie. Astrofysica. Ruimteonderzoek. Geodesie --- Handschriftenkunde. Handschriftencatalogi--Private verzamelingen--JAYASIMHA --- 091 <017.2 JAYASIMHA> Handschriftenkunde. Handschriftencatalogi--Private verzamelingen--JAYASIMHA --- 091:52 Handschriften i.v.m. astronomie-- Zie ook: {091:133.52} --- 091 =912 Handschriftenkunde. Handschriftencatalogi--Oudindisch. Sanskriet --- 091 <540 JAIPUR> Handschriftenkunde. Handschriftencatalogi--India--JAIPUR --- Sanskrit manuscripts --- Astronomy, Hindu --- Astronomy --- Jai Singh Sawai, --- Jayasiṃha, Savāī, --- Sawai Jai Singh, --- Mahārājā Mānasiṃha Pustaka Prakāśa --- Maharaja Mansingh Pustak Prakash --- Maharaja Man Singh Pustak Prakash --- Maharaja Mana Singh Pustak Prakash --- Maharaja Mansingh Pustak Prakash Research Centre --- Hindu astronomy - History - 18th century - Catalogs. --- Manuscripts, Sanskrit - India - Jodhpur - Catalogs. --- Mss astronomie --- Mss sanscrits --- Jai Singh - II, - Maharaja of Jaipur, - 1686-1743 - Catalogs. --- Jai Singh - II, - Maharaja of Jaipur, - 1686-1743