Tantrasaṅgraha
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Tantrasaṅgraha
Tantrasamgraha, or Tantrasangraha, (literally, ''A Compilation of the System'') is an important astronomical treatise written by Nilakantha Somayaji, an astronomer/mathematician belonging to the Kerala school of astronomy and mathematics. The treatise was completed in 1501 CE. It consists of 432 verses in Sanskrit divided into eight chapters. Tantrasamgraha had spawned a few commentaries: ''Tantrasamgraha-vyakhya'' of anonymous authorship and ''Yuktibhāṣā'' authored by Jyeshtadeva in about 1550 CE. Tantrasangraha, together with its commentaries, bring forth the depths of the mathematical accomplishments the Kerala school of astronomy and mathematics, in particular the achievements of the remarkable mathematician of the school Sangamagrama Madhava. In his ''Tantrasangraha'', Nilakantha revised Aryabhata's model for the planets Mercury and Venus. According to George G Joseph his equation of the centre for these planets remained the most accurate until the time of Johannes ...
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Devanagari
Devanagari ( ; in script: , , ) is an Indic script used in the Indian subcontinent. It is a left-to-right abugida (a type of segmental Writing systems#Segmental systems: alphabets, writing system), based on the ancient ''Brāhmī script, Brāhmī'' script. It is one of the official scripts of India, official scripts of India and Nepal. It was developed in, and was in regular use by, the 8th century CE. It had achieved its modern form by 1000 CE. The Devanāgarī script, composed of 48 primary characters, including 14 vowels and 34 consonants, is the fourth most widely List of writing systems by adoption, adopted writing system in the world, being used for over 120 languages, the most popular of which is Hindi (). The orthography of this script reflects the pronunciation of the language. Unlike the Latin alphabet, the script has no concept of letter case, meaning the script is a unicase, unicameral alphabet. It is written from left to right, has a strong preference for symmetri ...
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Johannes Kepler
Johannes Kepler (27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, Natural philosophy, natural philosopher and writer on music. He is a key figure in the 17th-century Scientific Revolution, best known for his Kepler's laws of planetary motion, laws of planetary motion, and his books ''Astronomia nova'', ''Harmonice Mundi'', and ''Epitome Astronomiae Copernicanae'', influencing among others Isaac Newton, providing one of the foundations for his theory of Newton's law of universal gravitation, universal gravitation. The variety and impact of his work made Kepler one of the founders and fathers of modern astronomy, the scientific method, Natural science, natural and modern science. He has been described as the "father of science fiction" for his novel ''Somnium (novel), Somnium''. Kepler was a mathematics teacher at a seminary school in Graz, where he became an associate of Hans Ulrich von Eggenberg, Prince Hans Ulrich von Eggenberg. Lat ...
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Paramesvara
Vatasseri Parameshvara Nambudiri ( 1380–1460) was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama. He was also an astrologer. Parameshvara was a proponent of observational astronomy in medieval India and he himself had made a series of eclipse observations to verify the accuracy of the computational methods then in use. Based on his eclipse observations, Parameshvara proposed several corrections to the astronomical parameters which had been in use since the times of Aryabhata. The computational scheme based on the revised set of parameters has come to be known as the ''Drgganita'' or Drig system. Parameshvara was also a prolific writer on matters relating to astronomy. At least 25 manuscripts have been identified as being authored by Parameshvara. Biographical details Parameshvara was a Hindu of Bhrgugotra following the Ashvalayanasutra of the Rigveda. Parameshvara's family name (''Illam'') was ...
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Damodara
Vatasseri Damodara Nambudiri was an astronomer-mathematician of the Kerala school of astronomy and mathematics who flourished during the fifteenth century CE. He was a son of Paramesvara (1360–1425) who developed the ''drigganita'' system of astronomical computations. The family home of Paramesvara was Vatasseri (sometimes called Vatasreni) in the village of Alathiyur, Tirur in Kerala. Damodara was a teacher of Nilakantha Somayaji. As a teacher he initiated Nilakantha into the science of astronomy and taught him the basic principles in mathematical computations. See also *List of astronomers and mathematicians of the Kerala school References

{{Authority control Kerala school of astronomy and mathematics 15th-century Indian mathematicians People from Malappuram district Scientists from Kerala 15th-century Indian astronomers Scholars from Kerala ...
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Illam
Illam (), also referred to as Mana, is the Malayalam word for the house of a Namboodiri Brahmin. In the traditional lineage system used for the classification and identification of homes based on the castes of Kerala, South India, an Illam served as the ''Tharavad'' (ancestral house) of Nambudiri Brahmin families. Illam also refers to the house of a elite Nair and Amabalavasi in certain regions of Kerala. The Namboodiris, who constituted the highest ranking caste of Kerala, also refer to their lineages as the ''Brahmaalayam''. The family homes are built according to the canons of '' Vaasthusaasthram'', meaning "architecture" in the Sanskrit language. Very few ''illams'' continue to be used for dwelling, while most have been morphed into museums, ayurvedic health care centres and home stays in the struggle for survival. Structural layout The traditional layout of a Namboodiri Illam is in the form of an open courtyard which is located in the middle, known as the ''Nadumut ...
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Kerala
Kerala ( , ) is a States and union territories of India, state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile regions of Kingdom of Cochin, Cochin, Malabar District, Malabar, South Canara, and Travancore. Spread over , Kerala is the 14th List of states and union territories of India by area, smallest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Laccadive Sea, Lakshadweep Sea to the west. With 33 million inhabitants as per the 2011 Census of India, 2011 census, Kerala is the List of states of India by population, 13th-largest Indian state by population. It is divided into 14 List of districts of Kerala, districts with the capital being Thiruvananthapuram. Malayalam is the most widely spoken language and is also the official language of the state. The Chera dynasty was the f ...
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Tirur
Tirur is a major municipal town in Tirur Taluk, Malappuram district, in the Indian state of Kerala, spread over an area of . It is one of the major business centers in Malappuram district and is situated west of Malappuram and south of Kozhikode, on the Shoranur–Mangalore section under Southern Railway. Tirur is a major trading centre for electronic devices and seafood in Northern Kerala and has an average elevation of above the sea level. History The medieval Kerala school of astronomy and mathematics was mainly centred in and around present-day Tirur Taluk. Puthiyangadi region in Tirur served as the headquarters of the medieval feudal principality of Tanur,Kerala History, A. Shreedhara Menon, 2007 Edition, D C Books, Kottayam who were allied on various occasions to the Zamorins of Calicut, prior to the East India Company rule in the region (1792–1858) and subsequent British Raj (1858–1947). Tirur railway station, built in 1861, is the oldest railway station ...
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Gotra
In Hindu culture, the term gotra (Sanskrit: गोत्र) is considered to be equivalent to lineage. It broadly refers to people who are descendants in an unbroken male line from a common male ancestor or patriline. Generally, the gotra forms an exogamous unit, with marriage within the same gotra being regarded as incest and prohibited by custom. The name of the gotra can be used as a surname, but it is different from a surname and is strictly maintained because of its importance in marriages among Hindus, especially among castes. Pāṇini defines ''gotra'' as ''apatyam pautraprabhrti gotram'' (IV. 1. 162), which means "the word ''gotra'' denotes the descendance (or descendants), ''apatya'', of a couple consisting of a ''pautra'', a son and a ''bharti'', a mother, i.e. a daughter-in-law." (Based on Monier Williams Dictionary definitions.) Foundational structure According to the Brihadaranyaka Upanishad 2.2.4,'' Kashyapa, Atri, Vasistha, Vishvamitra, Gautama Maharish ...
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Nambudiri
The Nambudiri (), also transliterated as Nampoothiri, Nambūdiri, Namboodiri, Namboothiri, Namboodri, Namboori, and Nampūtiri, are a Malayali Brahmin caste, native to what is now the state of Kerala, India, where they constituted part of the traditional feudal elite. Headed by the Azhvanchery Thamprakkal , Azhvanchery Thamprakkal Samrāṭ, the Nambudiris were the highest ranking caste in Kerala. They owned a large portion of the land in the region of Malabar District, and together with the Nair monarchs of Kerala, the Nambudiris formed the landed aristocracy known as the Jenmimar, until the Land reform in Kerala, Kerala Land Reforms starting in 1957. The Nambudiris have traditionally lived in Tharavad, ancestral homes known as Illams and have been described by anthropologist Joan Mencher as, "A wealthy, aristocratic landed caste of the highest ritual and secular rank." Venerated as the carriers of the Sanskrit language and ancient Vedas, Vedic culture, the Nambudiris held m ...
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Sankara Varman
Sankara Varman (1774–1839) was an astronomer-mathematician belonging to the Kerala school of astronomy and mathematics. He is best known as the author of Sadratnamala, a treatise on astronomy and mathematics, composed in 1819. Sankara Varman is considered as the last notable figure in the long line of illustrious astronomers and mathematicians in the Kerala school of astronomy and mathematics beginning with Madhava of Sangamagrama. Sadratnamala was composed in the traditional style followed by members of the Kerala school at a time when India had been introduced to the western style of mathematics and of writing books in mathematics. One of Varman's contributions to mathematics was his computation of the value of the mathematical constant π correct to 17 decimal places. Biographical sketch Varman was born as a younger prince in the principality of Katattanad, in North Malabar, Kerala, in the year 1774. He had two elder brothers, the eldest being Raja Udaya varma, the ruler o ...
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Sadratnamala
''Sadratnamala'' is an astronomical-mathematical treatise in Sanskrit written by Sankara Varman, an astronomer-mathematician of the Kerala school of mathematics, in 1819. Even though the book has been written at a time when western mathematics and astronomy had been introduced in India, it is composed purely in the traditional style followed by the mathematicians of the Kerala school. Sankara Varman has also written a detailed commentary on the book in Malayalam Malayalam (; , ) is a Dravidian languages, Dravidian language spoken in the Indian state of Kerala and the union territories of Lakshadweep and Puducherry (union territory), Puducherry (Mahé district) by the Malayali people. It is one of .... Sadratnamala is one of the books cited in C. M. Whish's paper on the achievements of the Kerala school of mathematics. This paper published in the ''Transactions of the Royal Asiatic Society of Great Britain and Ireland'' in 1834, was the first ever attempt to bring ...
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Puthumana Somayaji
Puthumana Somayaji (c.1660–1740) was a 17th-century astronomer-mathematician from Kerala, India. He was born into the Puthumana or Puthuvana (in Sanskrit, Nutanagriha or Nuthanvipina) family of Sivapuram (identified as present day Thrissur). The most famous work attributed to Puthumana Somayaji is '' Karanapaddhati'' which is a comprehensive treatise on Astronomy. Period of Somayaji The period in which Somayaji lived is uncertain. There are several theories in this regard. * C.M. Whish, the first westerner to write about Karanapaddhati, based on his interpretation that certain words appearing in the final verse of Karanapaddhati denote in katapayadi system the number of days in the ''Kali Yuga'', concluded that the book was completed in 1733 CE. Whish had also claimed that the grandson of the author of the Karanapaddhati was alive and was in his seventieth year at the time of writing his paper. * Based on reference to Puthumana Somayaji in a verse in Ganita Sucika Grantha by Gov ...
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