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Tantrasangraha
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala School Of Astronomy And Mathematics
The Kerala school of astronomy and mathematics or the Kerala school was a school of Indian mathematics, mathematics and Indian astronomy, astronomy founded by Madhava of Sangamagrama in Kingdom of Tanur, Tirur, Malappuram district, Malappuram, Kerala, India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. The school flourished between the 14th and 16th centuries and its original discoveries seem to have ended with Melpathur Narayana Bhattathiri, Narayana Bhattathiri (1559–1632). In attempting to solve astronomical problems, the Kerala school independently discovered a number of important mathematical concepts. Their most important results—series expansion for trigonometric functions—were described in Sanskrit verse in a book by Neelakanta called ''Tantrasangraha'' (around 1500), and again in a commentary on this work, called ''Tantrasangraha-vakhya'', of unknown authors ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madhava Of Sangamagrama
Mādhava of Sangamagrāma (Mādhavan) Availabl/ref> () was an Indian mathematician and astronomer who is considered to be the founder of the Kerala school of astronomy and mathematics in the Late Middle Ages. Madhava made pioneering contributions to the study of infinite series, calculus, trigonometry, geometry and algebra. He was the first to use infinite series approximations for a range of trigonometric functions, which has been called the "decisive step onward from the finite procedures of ancient mathematics to treat their limit-passage to infinity". Biography Little is known about Madhava's life with certainty. However, from scattered references to Madhava found in diverse manuscripts, historians of Kerala school have pieced together information about the mathematician. In a manuscript preserved in the Oriental Institute, Baroda, Madhava has been referred to as ''Mādhavan vēṇvārōhādīnām karttā ... Mādhavan Ilaññippaḷḷi Emprān''. It has been noted that th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karanapaddhati
Karanapaddhati is an astronomical treatise in Sanskrit attributed to Puthumana Somayaji, an astronomer-mathematician of the Kerala school of astronomy and mathematics. The period of composition of the work is uncertain. C.M. Whish, a civil servant of the East India Company, brought this work to the attention of European scholars for the first time in a paper published in 1834. The book is divided into ten chapters and is in the form of verses in Sanskrit. The sixth chapter contains series expansions for the value of the mathematical constant π, and expansions for the trigonometric sine, cosine and inverse tangent functions. Author and date of Karanapaddhati Nothing definite is known about the author of Karanapaddhati. The last verse of the tenth chapter of Karanapaddhati describes the author as a Brahamin residing in a village named Sivapura. Sivapura is an area surrounding the present day Thrissur in Kerala, India. The period in which Somayaji lived is also uncertain. There ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuktibhāṣā
''Yuktibhāṣā'' (), also known as Gaṇita-yukti-bhāṣā and ( English: ''Compendium of Astronomical Rationale''), is a major treatise on mathematics and astronomy, written by the Indian astronomer Jyesthadeva of the Kerala school of mathematics around 1530. The treatise, written in Malayalam, is a consolidation of the discoveries by Madhava of Sangamagrama, Nilakantha Somayaji, Parameshvara, Jyeshtadeva, Achyuta Pisharati, and other astronomer-mathematicians of the Kerala school. It also exists in a Sanskrit version, with unclear author and date, composed as a rough translation of the Malayalam original. The work contains proofs and derivations of the theorems that it presents. Modern historians used to assert, based on the works of Indian mathematics that first became available, that early Indian scholars in astronomy and computation lacked in proofs, but demonstrates otherwise. Some of its important topics include the infinite series expansions of functions; pow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nilakantha Somayaji
Keļallur Nīlakaṇṭha Somayāji (14 June 1444 – 1544), also referred to as Keļallur Comatiri, was a mathematician and astronomer of the Kerala school of astronomy and mathematics. One of his most influential works was the comprehensive astronomical treatise '' Tantrasamgraha'' completed in 1501. He had also composed an elaborate commentary on Aryabhatiya called the ''Aryabhatiya Bhasya''. In this Bhasya, Nilakantha had discussed infinite series expansions of trigonometric functions and problems of algebra and spherical geometry. ''Grahapariksakrama'' is a manual on making observations in astronomy based on instruments of the time. Early life Nilakantha was born into a Brahmin family which came from South Malabar in Kerala. Biographical details Nilakantha Somayaji was one of the very few authors of the scholarly traditions of India who had cared to record details about his own life and times. In one of his works titled '' Siddhanta-star'' and also in his ow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
East India Company
The East India Company (EIC) was an English, and later British, joint-stock company that was founded in 1600 and dissolved in 1874. It was formed to Indian Ocean trade, trade in the Indian Ocean region, initially with the East Indies (South Asia and Southeast Asia), and later with East Asia. The company gained Company rule in India, control of large parts of the Indian subcontinent and British Hong Kong, Hong Kong. At its peak, the company was the largest corporation in the world by various measures and had its own armed forces in the form of the company's three presidency armies, totalling about 260,000 soldiers, twice the size of the British Army at certain times. Originally Chartered company, chartered as the "Governor and Company of Merchants of London Trading into the East-Indies," the company rose to account for half of the world's trade during the mid-1700s and early 1800s, particularly in basic commodities including cotton, silk, indigo dye, sugar, salt, spices, Potass ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
