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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. His equation of the centre for these planets remained the most accurate until the time of Johannes Kepler in the 17th century.Geo ... [...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 the original discoveries of the school seems 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'', and again in a commentary on this work, called ''Tantrasangraha-vakhya'', of unknown author ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madhava Of Sangamagrama
Iriññāttappiḷḷi Mādhavan known as Mādhava of Sangamagrāma () was an Indian mathematician and astronomer from the town believed to be present-day Kallettumkara, Aloor Panchayath, Irinjalakuda in Thrissur District, Kerala, India. He is considered the founder of the Kerala school of astronomy and mathematics. One of the greatest mathematician-astronomers of the 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". Historiography Madhavan was born in an embranthiri brahmin family of tulu origin on 1340 in kingdom of Cochin. Although there is some evidence of mathematical work in Kerala prior to Madhava (''e.g.'', ''Sadratnamala'' c. 1300, a set of fragmentary r ... [...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. Ther ... [...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 Govin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yuktibhāṣā
''Yuktibhāṣā'' ( ml, യുക്തിഭാഷ, lit=Rationale), also known as Gaṇita-yukti-bhāṣā and (''Compendium of Astronomical Rationale''), is a major treatise on Indian mathematics, mathematics and Hindu astronomy, astronomy, written by the Indian astronomer Jyesthadeva of the Kerala school of astronomy and mathematics, 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 Mathematical proof, 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 l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nilakantha Somayaji
Keļallur Nilakantha Somayaji (14 June 1444 – 1544), also referred to as Keļallur Comatiri, was a major 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. Known popularly as Kelallur Chomaathiri, he is considered an equal to Vatasseri Parameshwaran Nambudiri. 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 detai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala
Kerala ( ; ) is a 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 Cochin, Malabar, South Canara, and Thiruvithamkoor. Spread over , Kerala is the 21st largest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Lakshadweep Sea to the west. With 33 million inhabitants as per the 2011 census, Kerala is the 13th-largest Indian state by population. It is divided into 14 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 first prominent kingdom based in Kerala. The Ay kingdom in the deep south and the Ezhimala kingdom in the north formed the other kingdoms in the early years of the Common Era (CE). The region had been a prominent spic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tirur
Tirur is a Municipality in Malappuram district in the Indian state of Kerala spread over an area of . It is one of the business centers of Malappuram district and is situated west of Malappuram and south of Kozhikode, on the Shoranur–Mangalore section under Southern Railway. Tirur is also a major regional trading centre for fish and betel leaf and has an average elevation of . Demographics India census, Tirur had a population of 53,650, of which 48% are male and 52% female. Tirur has an average literacy rate of 80%, higher than the national average of 59.5%: male literacy is 81%, and female literacy is 78%. In Tirur, 14% of the population is under six years of age. Tirur assembly constituency is part of Ponnani (Lok Sabha constituency). Transportation *Railway Station: Tirur railway station is one of the major railway stations in the Malabar region. Almost every train stops here, connecting the Malappuram district to the rest of the country. *Road: Tirur is well connected ... [...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 Namboodiri Brahmin families. 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. 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 ''Nadumittam'' ('nadu' meaning middle and 'mittam' meaning earth/ground). These buildings or houses are designed in different patterns such as ''Nalukettu'' (a courtyard surrounded by rooms on four sides), ''Ettukettu'' (a ''nalukettu'' surrounded by another ''nalukettu''), an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Keļallur Nilakantha Somayaji (14 June 1444 – 1544), also referred to as Keļallur Comatiri, was a major mathematician and astronomer of the Kerala school of astronomy and mathematics. One of his most influential works was the comprehensi .... As a teacher he initiated Nilakantha into the science of astronomy and taught him the basic principles in mathematical computations. References {{Authority control Kerala school of astronomy and mathematics 15th-century Indian mathematicians People from Malappuram district Scientists from Ker ... [...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.) When a person says "I am Vipparla-gotra", he means that he traces his descent to the ancient sage Vipparla by an unbroken male descent. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
