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Govindasvāmi
Govindasvāmi (or Govindasvāmin, Govindaswami) (c. 800 – c. 860) was an Indian mathematical astronomer most famous for his ''Bhashya'', a commentary on the ''Mahābhāskarīya'' of Bhāskara I, written around 830. The commentary contains many examples illustrating the use of a Sanskrit place-value system and the construction of a sine table. His works have been quoted extensively by Sankaranarayana (fl. 869), Udayadivakara (fl. 1073) and Nilakantha Somayaji (c. 1444-1544). Sankaranarayana was the director of the observatory founded in Mahodayapuram, the capital of the Chera kingdom, and is believed to be the student of Govindasvami. In his book, Sankaranarayana gives explanations to the insightful questions of the king Ravi Varma, then ruler of Mahodayapuram and from these references the period of Sankaranarayana is known. His work ''Govindakriti'' was a sequel to Āryabhaṭīya ''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Sanskrit astronomical treatise, is th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bhāskara I
Bhāskara () (commonly called Bhāskara I to avoid confusion with the 12th-century mathematician Bhāskara II) was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work. This commentary, ''Āryabhaṭīyabhāṣya'', written in 629 CE, is among the oldest known prose works in Sanskrit on mathematics and astronomy. He also wrote two astronomical works in the line of Aryabhata's school: the ''Mahābhāskarīya'' (“Great Book of Bhaskara”) and the ''Laghubhāskarīya'' (“Small Book of Bhaskara”). On 7 June 1979, the Indian Space Research Organisation launched the Bhāskara I satellite, named in honour of the mathematician. Biography Little is known about Bhāskara's life, except for what can be deduced from his writings. He was born in India in the 7th centu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Astronomer
An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, natural satellite, moons, comets and galaxy, galaxies – in either observational astronomy, observational (by analyzing the data) or theoretical astronomy. Examples of topics or fields astronomers study include planetary science, Sun, solar astronomy, the Star formation, origin or stellar evolution, evolution of stars, or the galaxy formation and evolution, formation of galaxies. A related but distinct subject is physical cosmology, which studies the Universe as a whole. Types Astronomers usually fall under either of two main types: observational astronomy, observational and theoretical astronomy, theoretical. Observational astronomers make direct observations of Astronomical object, celestial objects and analyze the data. In contrast, theoretical astronomers create and investigate C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sanskrit
Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the late Bronze Age. Sanskrit is the sacred language of Hinduism, the language of classical Hindu philosophy, and of historical texts of Buddhism and Jainism. It was a link language in ancient and medieval South Asia, and upon transmission of Hindu and Buddhist culture to Southeast Asia, East Asia and Central Asia in the early medieval era, it became a language of religion and high culture, and of the political elites in some of these regions. As a result, Sanskrit had a lasting impact on the languages of South Asia, Southeast Asia and East Asia, especially in their formal and learned vocabularies. Sanskrit generally connotes several Old Indo-Aryan language varieties. The most archaic of these is the Vedic Sanskrit found in the Rig Veda, a colle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Place-value System
Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or decimal system). More generally, a positional system is a numeral system in which the contribution of a digit to the value of a number is the value of the digit multiplied by a factor determined by the position of the digit. In early numeral systems, such as Roman numerals, a digit has only one value: I means one, X means ten and C a hundred (however, the value may be negated if placed before another digit). In modern positional systems, such as the decimal system, the position of the digit means that its value must be multiplied by some value: in 555, the three identical symbols represent five hundreds, five tens, and five units, respectively, due to their different positions in the digit string. The Babylonian numeral system, base 60, was the first positional system to be developed, and its influence is present today ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sine
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted simply as \sin \theta and \cos \theta. More generally, the definitions of sine and cosine can be extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and lig ... [...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] |
Kodungalloor
Kodungallur (; also Cranganore, Portuguese: Cranganor; formerly known as Mahodayapuram, Shingly, Vanchi, Muchiri, Muyirikkode, and Muziris) is a historically significant town situated on the banks of river Periyar on the Malabar Coast in Thrissur district of Kerala, India. It is north of Kochi (Cochin) by National Highway 66 and from Thrissur. Kodungallur, being a port city at the northern end of the Kerala lagoons, was a strategic entry point for the naval fleets to the extensive Kerala backwaters. As of the 2011 India Census, Kodungallur Municipality had a population of 33,935. It had an average literacy rate of 95.10%. Around 64% of the population follows Hinduism, 32% Islam and 4% Christianity. Schedule Caste (SC) constitutes 7.8% while Schedule Tribe (ST) were 0.1% of total population in Kodungallur. Kodungallur is the headquarters of the Kodungallur sub-district (tehsil) in Thrissur district. Kodungallur Kerala Legislative Assembly constituency is a part of Chalaku ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chera Perumals Of Makotai
Chera Perumals of Makotai, also known as the Perumal dynasty of KeralaThapar, Romila'', The Penguin History of Early India: From the Origins to AD 1300.'' Penguin Books, 2002. 331-32., or Cheraman Perumal dynasty of MahodayapuramNoburu Karashmia (ed.), A Concise History of South India: Issues and Interpretations. New Delhi: Oxford University Press, 2014. 143-44., (''fl.'' ''c.'' 9th–12th century CE) were a ruling dynasty in present-day Kerala, south India.Thapar, Romila'', The Penguin History of Early India: From the Origins to AD 1300.'' Penguin Books, 2002. 326-27. Makotai, or Mahodayapuram, the seat of the Cheraman Perumals, is identified with present-day Karur in central Tamil Nadu.Noburu Karashmia (ed.), ''A Concise History of South India: Issues and Interpretations.'' New Delhi: Oxford University Press, 2014. 143-44.Veluthat, Kesavan. 2004. 'Mahodayapuram-Kodungallur', in ''South-Indian Horizons'', eds Jean-Luc Chevillard, Eva Wilden, and A. Murugaiyan, pp. 471–85. Éco ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sthanu Ravi Varma
Sthanu Ravi Varma ( early Malayalam and Tamil: Ko Tanu Iravi), known as the Kulasekhara, was the Chera Perumal ruler of Kerala in southern India from 844/45 to 870/71 AD.Noburu Karashmia (ed.), A Concise History of South India: Issues and Interpretations'' New Delhi: Oxford University Press, 2014. 143-44.'Changes in Land Relations during the Decline of the Cera State,' In Kesavan Veluthat and Donald R. Davis Jr. (eds), Irreverent History:- Essays for M.G.S. Narayanan'' Primus Books, New Delhi, 2014. 74-75. He is the earliest Chera Perumal ruler known to scholars. The Chera Perumal relations with the Chola dynasty were inaugurated during the reign of Sthanu Ravi.Narayanan, M. G. S. ''Perumāḷs of Kerala.'' Thrissur (Kerala): CosmoBooks, 2013. 64-66 and 78-79. The famous Quilon Syrian Christian copper plates are dated in the fifth regnal year of king Sthanu Ravi. Two more inscriptions dated in the regnal years of Sthanu Ravi can be found at Irinjalakuda Kudalmanikyam Temple, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Āryabhaṭīya
''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Sanskrit astronomical treatise, is the ''magnum opus'' and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions. Structure and style Aryabhatiya is written in Sanskrit and divided into four sections; it covers a total of 121 verses describing different moralitus via a mnemonic writing style typical for such works in India (see definitions below): 1. Gitikapada (13 verses): large units of time—kalpa, manvantara, and yuga—which present a cosmology different from earlier texts such as Lagadha's Vedanga Jyotisha (ca. 1st century BCE). There is also a table of ine (jya), given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years. 2. Ganitapada (33 verses): covering mensuration (kṣetra vyāvahāra); arithmetic and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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